The Long-term Decline of the U.S. Job Ladder
Aniket Baksy
*
Daniele Caratelli
Niklas Engbom
April 26, 2024
Abstract
We develop a methodology to consistently estimate employer-to-employer (EE) mobility toward
higher paying jobs based on publicly available microdata from the Current Population Survey,
and use it to document three trends over the past half century. First, such EE mobility fell
by half between 1979 and 2023. Second, its decline reduced annual wage growth by over one
percentage point. Third, the decline was particularly pronounced for women, those without a
college degree, and young workers. The decline does not appear to primarily stem from work-
ers being better matched with their current jobs or the labor market being worse at matching
workers and firms. Instead, based on long-run variation across U.S. states, we present evidence
consistent with the view that greater labor market concentration reduced workers’ opportuni-
ties to transition toward higher paying employers.
*
Digital Futures at Work Research Center, University of Sussex: [email protected]
Office of Financial Research, U.S. Department of the Treasury: [email protected]
CEPR, NBER, UCLS and New York University Stern School of Business: [email protected]
The views and opinions expressed are those of the authors and do not necessarily represent official positions of the
Office of Financial Research or the U.S. Department of the Treasury. We thank Sadhika Bagga, Adam Blandin, Katarina
Borovickova, Kyle Herkenhoff, Loukas Karabarbounis, Ricardo Lagos, Claudia Macaluso and Venky Venkateswaran
for useful comments.
1 Introduction
Shopping for jobs is an integral part of workers’ careers. Young workers enter the labor mar-
ket poorly matched, and gradually relocate across firms to find better matches. Topel and Ward
(1992) find that this process of employer-to-employer (EE) reallocation toward higher paying jobs
accounts for a third of workers’ wage growth during the first 10 years of their careers. More re-
cently, macroeconomists have stressed that such reallocation also plays a critical role for aggregate
economic performance, by reallocating workers from less to more productive firms (Lentz and
Mortensen, 2012; Moscarini and Postel-Vinay, 2017). Yet, despite its importance for both micro
and macroeconomic outcomes, little is known about long-run trends in such reallocation.
The reason is twofold. First, the data required to measure the frequency at which workers
move from one employer to another without an intervening spell of nonemployment are only
available since the mid-1990s. Furthermore, the series available from the main labor force sur-
vey in the U.S., the Current Population Survey (CPS), suffers from bias arising from changes in
survey methodology and non-response over time (Fujita, Moscarini and Postel-Vinay, Forthcom-
ing).
1
Second, many EE transitions in the raw data are toward lower paying jobs (Tjaden and
Wellschmied, 2014; Sorkin, 2018). Of particular interest for macroeconomic performance, how-
ever, is EE mobility toward higher paying, more productive jobs—what we henceforth refer to as
allocative EE mobility (Bilal et al., 2022; Elsby and Gottfries, 2022).
2
This paper proposes a methodology that overcomes these dual challenges, and uses it to docu-
ment three trends in allocative EE mobility over the past half century in the U.S. based on publicly
available micro data from the CPS. First, allocative EE mobility fell in half between 1979 and 2023.
Second, ceteris paribus the decline reduced annual wage growth by over one percentage point.
Third, the fall was particularly pronounced for women, those without a college degree, and young
workers. In terms of potential explanations, we find little support for the notion that allocative EE
mobility is lower today because workers are better matched with their current employers (Mer-
can, 2017; Pries and Rogerson, 2022) or the labor market is worse at matching workers and firms.
Instead, based on long-run variation across U.S. states, we provide evidence consistent with the
view that greater labor market concentration reduced workers’ opportunities to transition toward
higher paying employers (Bagga, 2023; Berger et al., 2023; Jarosch, Nimczik and Sorkin, 2024).
Our point of departure is a prototypical job ladder model in the spirit of Burdett and Mortensen
(1998). In each period, non-employed and employed workers receive job offers with some exoge-
nous and potentially different probability. A job offer is a draw of a wage from an exogenous
wage offer distribution, which may also vary by employment status (Faberman et al., 2022). If the
worker accepts the job, she supplies a unit of labor at the specified wage until either she finds a
1
An alternative, arguably superior, series is available from the Survey of Income and Program Participation (SIPP), but
high-quality data are only available for 1996–2013.
2
We borrow this terminology from the literature, but caution that it should be interpreted from the perspective of a
social planner who does not face any frictions and who aims to maximize aggregate output.
2
new job offering a higher wage or her job exogenously terminates and she becomes non-employed.
The model predicts that the number of workers earning at most a wage w in period t + 1
depends on the number of workers paid at most w in period t, the number of these workers who
separated to non-employment between periods t and t + 1, the number of non-employed workers
in period t who found a job paying at most w in period t + 1, and the fraction who made an EE
transition to a job paying more than w between t and t + 1. Knowledge of all the other objects in
this relationship allows us to recover the EE transition probability.
The logic is best explained via the example in Figure 1. Consider a labor market in which eight
workers earn a wage below w in each period t. Suppose that between periods t and t + 1, one of
these workers separates to non-employment, while two workers are hired from non-employment
into jobs paying less than w. Suppose that in period t + 1, we again observe eight workers earning
less than w. We are interested in what fraction x(w) of workers employed at a wage less than w
that made an EE transition to jobs paying more than w. It solves
8
|{z}
earning w at t
1
|{z}
employment outflows
+ 2
|{z}
employment inflows
8x(w)
|{z}
EE moves from w to > w
= 8
|{z}
earning w at t + 1
Hence, x( w) = 12.5 percent of workers earning less than w made an EE transition to a job paying
more than w. Knowledge of this share as well as the share of all workers who are paid w for each
wage w allows us to compute the overall EE transition probability to higher paying jobs.
To measure the inputs required to estimate allocative EE mobility, we use data from the ba-
sic monthly survey and the Outgoing Rotation Group (ORG) of the CPS. Specifically, we record an
individual’s employment status in each month during a four month period, her hourly wage in
the last of these four months, and demographic characteristics. Since our model assumes that all
wage growth is due to EE mobility, we residualize wages on a rich set of demographic controls
that account for wage growth with experience as well as for the impact of aggregate trends. Sub-
sequently, we measure the share of workers earning less than (residual) wage w in months t and
t + 1, the share of hires from non-employment who earn a wage below w in month t + 1, and the
share of employed workers in month t who are non-employed in period t + 1. Through the lens
of our theory, these objects are sufficient to recover allocative EE mobility in month t.
We validate our methodology by contrasting our measure of allocative EE mobility to raw EE
mobility in the CPS since 1994, in the SIPP between 1996 and 2013, and for the cohort of individu-
als who were 14–22 years old in 1979 in the National Longitudinal Survey of Youth 1979 (NLSY ’79).
We find that raw EE mobility is higher in the CPS than in the SIPP, which in turn is higher than al-
locative EE mobility. Consistent with evidence that changes in non-response rates in the CPS bias
raw EE mobility toward an excessively large decline (Fujita, Moscarini and Postel-Vinay, Forth-
coming), allocative EE mobility shows a smaller decline since the early 2000s. Raw EE mobility
toward a higher paying job in the SIPP is, however, close to our estimate of allocative EE mobility.
3
Date t Stocks
BP
BP
BP
BP
BP
BP
BP
BP
BP
w
Wage
Share
BP
BP
Nonemployed
Date t Flows
BP
BP
BP
BP
BP
BP
BP
BP
BP
BP
BP
w
Wage
Share
BP
BP
BP
Nonemployed
Date t + 1 Stocks
BP
BP
BP
BP
BP
BP
BP
BP
BP
w
Wage
Share
BP
BP
Nonemployed
Inferred EE Flows
BP
BP
BP
BP
BP
BP
BP
BP
BP
BP
w
Wage
Share
BP
BP
Nonemployed
Figure 1: Identifying EE mobility using microdata. Suppose that eight individuals earn (weakly)
less than w in period t. Between periods t and t + 1, one of these individuals separates into
nonemployment, while two previously nonemployed individuals enter employment at a wage
(weakly) less than w. In period t + 1, we again observe eight individuals earning (weakly) less
than w. We conclude that one individual who earned less than w in period t made an EE transition
to a job paying more than w in period t + 1, corresponding to 12.5% of workers.
Furthermore, allocative EE mobility among the cohort that turned 14–22 in 1979 matches well raw
EE mobility toward higher paying jobs over the 1981–2018 period in the NLSY ’79.
Having validated our methodology, we use it to establish three trends in allocative EE mobil-
ity in the U.S. over the past half century. First, allocative EE mobility declined sharply since the
mid-1980s, falling from 1.5 percent per month to less than one percent today (with only a short-
lived reversal during the Pandemic). Second, ceteris paribus the fall in allocative EE mobility is
associated with a sizeable decline in wage growth, as workers climbed the job ladder less. Our
4
estimates imply that allocative EE mobility contributed over three percentage points to annual
real wage growth in the 1980s. As such mobility declined, so did the wage gains associated with
it. In fact, despite an increase in the average wage gain conditional on an allocative EE transition,
the declining frequency of such transitions contributed to over one percentage point weaker an-
nual wage growth today. Third, although the decline in allocative EE mobility and its associated
wage growth were pervasive across demographic groups, they were particularly pronounced for
women, workers without a college degree, and young workers.
While our methodology allows us to provide new evidence on long-run trends in allocative
EE mobility, it does so by imposing three strong assumptions. First, we assume that job ladder
dynamics is the sole source of residual wage growth, consistent with recent work highlighting the
central role of EE mobility for wage dynamics (Karahan et al., 2017; Moscarini and Postel-Vinay,
2017; Ozkan, Song and Karahan, 2023; Tanaka, Warren and Wiczer, 2023). Second, we impose that
the recently non-employed are not systematically different in unobservable dimensions than their
identical looking peers. Third, we abstract from EE transitions toward lower paying jobs.
To assess the sensitivity of our results to these strong assumptions, we turn to three extensions.
First, we allow also for residual wage growth with tenure, finding that such wage growth is uni-
formly small over our sample period so that allowing for it makes little difference to our results.
Second, we use the fact that we can observe wages twice in order to residualize a worker’s current
wage also off her previous wage as a control for unobservable characteristics. Although doing
so (modestly) lowers the level of allocative EE mobility—consistent with recently non-employed
workers being worse in unobservable ways—it has little effect on the decline in allocative EE mo-
bility over this period. The reason is that such negative selection on unobservables did not change
over time. Third, we incorporate undirected EE mobility following Jolivet, Postel-Vinay and Robin
(2006) in order to match the overall level of EE mobility in the data. While such mobility is com-
mon, allowing for it substantively changes neither the level nor the trend in allocative EE mobility.
We end with an assessment of three prominent potential explanations for the decline in alloca-
tive EE mobility. One possibility is that workers today are better matched in the labor market, so
that they are less likely to accept an outside job offer (Mercan, 2017; Pries and Rogerson, 2022).
Under the standard assumption that the non-employed and employed sample wage offers from
the same distribution, we show that we can separately identify the job finding probability of the
employed and the probability that they accept an extended offer. We estimate that the acceptance
probability modestly rose over time.
3
Hence, the decline in allocative EE mobility is entirely ac-
counted for by a lower probability that an employed worker receives an outside job offer. Molloy
et al. (2016) draw a similar conclusion that workers are not better matched today based on the lack
of a long-run trend in starting wages.
Second, the decline in the job finding probability of the employed could, for instance, be the
3
We stress that this refers to the acceptance probability of the employed, not the acceptance probability of the non-
employed, which Birinci, See and Wee (2023) find has declined.
5
result of changes in the efficiency with which the labor market matches workers and firms. Alter-
natively, firms might advertise fewer job openings today. Benchmark equilibrium theories of the
labor market predict that such forces proportionately reduce the job finding probability of the em-
ployed and non-employed. In contrast, we find that the job finding probability of the employed
declined by much more than that of the non-employed, suggesting that the decline in EE mobility
was not primarily the result of changes in matching efficiency or firms’ recruitment efforts.
Our results instead point to factors that particularly impacted the job finding prospects of the
employed. Two hypotheses consistent with this pattern are reduced search intensity of the em-
ployed, perhaps stemming from the increased use of non-compete agreements that discourages
on-the-job search (Gottfries and Jarosch, 2023), or greater labor market concentration which lim-
its workers’ outside options (Bagga, 2023; Berger et al., 2023; Jarosch, Nimczik and Sorkin, 2024).
In line with the latter view, we document that the job finding probability of the employed de-
clined disproportionately in U.S. states that saw larger increases in labor market concentration.
Specifically, we replicate our analysis for each state plus Washington D.C., and merge the result-
ing data set with measures of the number of firms per worker and the prevalence of large firms
from the U.S. Census Business Dynamic Statistics (BDS). We project the job finding probability of
the employed at the state-5-year period level on various measures of labor market concentration,
controlling for state and time fixed effects. Our results reveal that labor market concentration is
strongly negatively correlated with the job finding probability of the employed, but only weakly
so with that of the non-employed. Indeed, the point estimate would imply that the increase in
labor market concentration observed at the national level between 1979 and today accounts for
more than 40 percent of the fall in allocative EE mobility over this period.
Literature. This paper contributes to a literature studying the decline in economic “dynamism”
in the U.S. over the past fifty years. Following Steve Davis’ and John Haltiwanger’s pioneering
work, several papers document large declines in the rates of job creation and destruction in the
U.S. since the early 1980s (Davis and Haltiwanger, 2014; Decker et al., 2016). Due to data limita-
tions, however, less is known about long-run trends in worker flows, in particular EE mobility.
Fallick and Fleischman (2004) is the first paper to use the introduction of “dependent inter-
viewing” techniques to the CPS to estimate EE mobility back to 1994. Fujita, Moscarini and Postel-
Vinay (Forthcoming) note that selective non-response biases the CPS toward showing an exces-
sively large decline in EE mobility, and propose a corrected version that displays a more muted
decline. Hyatt and Spletzer (2013), Hyatt (2015) and Haltiwanger et al. (2018) study trends in EE
mobility using matched employer-employee data from the Longitudinal Employer-Household
Dynamics (LEHD) program starting in 1998. Several papers proxy the EE transition probability
using the number of employers a respondent had in the previous calendar year (Blanchard and
Diamond, 1990; Shimer, 2005; Diamond and S¸ahin, 2016; Molloy et al., 2016), but this is an imper-
fect proxy because it risks misclassifying, for instance, employment-unemployment-employment
6
transitions as EE transitions. Hyatt and Spletzer (2016, 2017) and Molloy, Smith and Wozniak
(2024) infer changes in worker mobility based on the tenure distribution. In addition to allowing
us to consistently estimate EE mobility starting in 1979, an advantage of our methodology is that
it isolates the component of EE mobility that is toward higher paying jobs. Jolivet, Postel-Vinay
and Robin (2006) apply a job ladder model similar to ours to cross-country data in order to infer
the rate at which workers move up the job ladder. Our motivation is shared by Shimer (2012),
who uses a parsimonious model of labor market flows to unemployment duration data to infer
the separation probability to and job finding probability from unemployment starting in 1948.
Our paper is also related to a rapidly growing literature that studies the impact of labor mar-
ket power on wages and employment (Macaluso, Hershbein and Yeh, 2019; Azar et al., 2020;
Prager and Schmitt, 2021; Azar, Marinescu and Steinbaum, 2022; Berger, Herkenhoff and Mon-
gey, 2022; Benmelech, Bergman and Kim, 2022; Handwerker and Dey, 2022; Rinz, 2022; Caldwell
and Danieli, 2024). Most closely related, Bagga (2023) finds a positive correlation between EE mo-
bility and the ratio of firms to workers across U.S. local labor markets. Due to data limitations,
however, she is restricted to analyze the cross-sectional relationship, as opposed to the within-
state patterns that we study. While both papers lack a credible identification strategy to obtain
a causal estimate, within-region variation arguably reduces concerns about third factors driving
the correlation. Berger et al. (2023) correlate measures of market concentration with worker flows
both across and within local labor markets in Norway between 2006 and 2018. Consistent with our
result, they find a negative relationship between the two. Our result complements their finding by
offering a longer time series and by providing evidence from the U.S., whose institutional setting
may differ in important dimensions from Norway’s.
We start by outlining our partial equilibrium job ladder model in section 2. Section 3 discusses
the data and our estimation procedure. In section 4, we present three facts on long-term trends
in EE mobility and its associated wage growth. Section 5 incorporates three extensions. Section 6
evaluates three prominent explanations for the decline in EE mobility. Finally, section 7 concludes.
2 A Prototypical Job Ladder Model
This section outlines a parsimonious partial equilibrium model of worker dynamics in the spirit
of Burdett and Mortensen (1998) set in discrete time. The job finding probabilities, the separation
probability, and the wage offer distribution are all taken as exogenous. While stylized, an exten-
sive literature finds that this framework is quite successful at matching empirical labor market
dynamics (Jolivet, Postel-Vinay and Robin, 2006).
7
2.1 Environment
Time t 0 is discrete and infinite. A unit mass of ex-ante identical, infinitely-lived workers move
across jobs as well as in and out of employment. Let e
t
denote the employment rate at time t.
Non-employed workers receive job offers with exogenous probability λ
n
t
[0, 1]. A job offer
is a draw of a (log) wage w from an exogenous wage offer distribution of the non-employed. Let
f
n
t+1
( w) denote its probability density function (pdf) and F
n
t+1
( w) its cumulative distribution func-
tion (cdf), with support w (, ). We assume that non-employed workers accept any job
offer they receive.
4
The wage remains fixed for the duration of the match.
With exogenous probability λ
e
t
[0, 1], an employed worker receives an outside offer from
a wage offer distribution of the employed, whose pdf (cdf) we denote f
e
t+1
( w) (F
e
t+1
( w)). Since
workers choose whether to accept an offer, they only switch to jobs that offer higher wages. We
refer to the resulting mobility toward higher paying jobs as allocative EE mobility.
Finally, employed workers separate to non-employment with exogenous probability δ
t
[0, 1].
We require that these probabilities satisfy δ
t
+ λ
e
t
1.
2.2 Labor market flows
The number of workers earning wage w at time t, g
t
( w)e
t
, evolves according to
g
t+1
(
w
)
e
t+1
= g
t
( w)e
t
δ
t
g
t
( w)e
t
| {z }
separations to nonemp.
λ
e
t
(
1 F
e
t+1
( w)
)
g
t
( w)e
t
| {z }
EE separations
(1)
+ λ
n
t
f
n
t+1
( w)(1 e
t
)
| {z }
hires from nonemp.
+ λ
e
t
f
e
t+1
( w)G
t
( w)e
t
| {z }
EE hires
Integrating (1) from to w, applying integration by parts, gives
5
G
t+1
(
w
)
e
t+1
=
1 δ
t
λ
e
t
(1 F
e
t+1
( w))
G
t
( w)e
t
+ λ
n
t
F
n
t+1
( w)(1 e
t
)
which we can rearrange as
λ
e
t
1 F
e
t+1
( w)
| {z }
sep
e
t
(w)poaching separation probability
= 1
G
t+1
( w)
G
t
( w)
e
t+1
e
t
+ λ
n
t
F
n
t+1
( w)
G
t
( w)
1 e
t
e
t
δ
t
(2)
We discuss below how to measure G
t
( w), G
t+1
( w), F
n
t+1
( w), e
t
, e
t+1
, λ
n
t
and δ
t
in the CPS. Provided
these objects, we can estimate the poaching separation probability at each wage w based on (2). The
4
This assumption can be motivated by the fact that no firm would find it optimal to advertise a job paying less than
the reservation wage common to all non-employed workers.
5
Integrating by parts the EE separations term in (1) gives
R
w
(1 F
e
t+1
(
˜
w))g
t
(
˜
w) d
˜
w = (1 F
e
t+1
(w))G
t
(w) +
R
w
f
e
t+1
(
˜
w)G
t
(
˜
w)d
˜
w. The last term cancels the integrated EE hires term.
8
EE transition probability is then the average poaching separation rate
EE
t
= λ
e
t
Z
1 F
e
t+1
( w)
dG
t
( w) =
Z
sep
e
t
( w)dG
t
( w) (3)
The EE transition probability can be written as the product of the probability that an employed
worker receives a job offer and the average probability of the worker accepting the offer
EE
t
= λ
e
t
|{z}
job finding probability
Z
1 F
e
t+1
(
w
)
dG
t
(
w
)
| {z }
acceptance probability
(4)
Hence, EE mobility can fall either because workers are less likely to receive job offers or because
they are less likely to accept them. While we do not need to measure the wage offer distribution
of the employed to estimate overall EE mobility (3), the decomposition (4) requires it. Since it is
fundamentally unobserved,
6
to implement (4) we follow much of the literature in assuming that
the employed sample jobs from the same distribution as the non-employed, f
e
t
( w) = f
n
t
( w).
2.3 Wage growth due to EE mobility
Wage growth due to EE mobility is the fraction of workers who receive a job offer times the average
wage gain conditional on accepting it
w
EE
t
= λ
e
t
Z
Z
w
˜
w w
dF
e
t+1
(
˜
w)dG
t
( w) = λ
e
t
Z
w
Z
w
˜
w
dG
t
(
˜
w) dF
e
t+1
( w)
Integrating by parts and using the fact that lim
w
F
e
t+1
( w) = 1, we have
w
EE
t
= λ
e
t
Z
h
w
˜
w
G
t
(
˜
w)
i
w
˜
w=
+
w
Z
G
t
(
˜
w)d
˜
w
dF
e
t+1
( w)
= λ
e
t
Z
w
Z
G
t
(
˜
w)d
˜
wdF
e
t+1
( w)
= λ
e
t
w
Z
G
t
(
˜
w)d
˜
wF
e
t+1
( w)
w=
Z
G
t
( w)F
e
t+1
( w)dw
= λ
e
t
Z
1 F
e
t+1
( w)
G
t
( w)dw
6
Although the wage distribution of new hires from employment can be inferred in the CPS since 1994, it is not the
same as the wage offer distribution of the employed, since employed workers reject some wage offers.
9
=
Z
sep
e
t
( w)G
t
( w)dw (5)
2.4 Identification
To highlight what aspects of the data inform the level of EE mobility, we note that in steady-state,
outflows from and inflows into employment coincide, λ
n
t
(1 e
t
) = δ
t
e
t
. Hence, if the labor market
at date t is in steady-state, the law of motion for the wage distribution (2) simplifies to
λ
e
t
1 F
e
t+1
( w)
= λ
n
t
F
n
t+1
( w)
G
t
( w)
1 e
t
e
t
δ
t
= δ
t
F
n
t+1
( w) G
t
( w)
G
t
( w)
(6)
Integrating (6) over all wages from to delivers
EE
t
= δ
t
|{z}
separation probability channel
×
Z
F
n
t+1
( w) G
t
( w)
G
t
( w)
dG
t
( w)
| {z }
offer channel
(7)
Ceteris paribus, we infer a higher EE transition probability if either the separation probability
to non-employment, δ
t
, or the average deviation between the wage and wage offer distribution is
larger. Figure 2 illustrates the intuition by plotting the wage offer and wage distributions based
on the data constructed in the next section pooled across all years. The wage distribution first-
order stochastically dominates the wage offer distribution, consistent with EE mobility gradually
relocating workers toward higher paying jobs. All else equal, higher EE mobility increases the
gap between the two distributions. That being said, this pattern could also be the result of other
forces such as on-the-job wage growth or the recently non-employed being negatively selected on
unobservables. We argue below that such factors are not the main driver of these patterns.
3 Estimation
We now discuss how we bring the model to the data in order to estimate allocative EE mobility.
3.1 Data
We use publicly available data from the CPS from 1979 to 2023 conducted by the Bureau of La-
bor Statistics (BLS) and made available by the Integrated Public Use Microdata Series (IPUMS) and
the National Bureau of Economic Research (NBER).
7
The CPS is the main U.S. labor force survey,
7
The ORG started in 1979, but it should be possible to extend our analysis back to 1976 using the May Supplements.
10
(a) Probability density function.
1.5 1.0 0.5 0.0 0.5 1.0 1.5
Log residual wage
0.0
0.2
0.4
0.6
0.8
1.0
1.2
Density
(b) Cumulative distribution function.
1.5 1.0 0.5 0.0 0.5 1.0 1.5
Log residual wage
0.0
0.2
0.4
0.6
0.8
1.0
1.2
Cumulative density
Wage offer dist.
Wage dist.
Figure 2: Wage and wage offer distributions in the pooled CPS 1979–2023.
serving as the benchmark data set for labor market analyses. At the time of writing, IPUMS has
incorporated ORG data through March 2023.
Every month, the CPS surveys roughly 60,000 households using a rotating panel design. Specif-
ically, a household responds to the basic monthly survey in each month for four consecutive
months, rotates out of the survey for eight months, and finally returns to answer the basic monthly
survey in each month for another four consecutive months. We refer to the first four months as
survey months 1–4 and the latter four months as survey months 5–8. While the CPS is designed
to be representative of the U.S. population, non-random attrition necessitates the use of survey
weights, which we use throughout.
For a reference week in each month, the CPS records the employment status of each house-
hold member aged 15 and older, as well as usual weekly hours for those who are employed and
job search activities during the four weeks leading up to the reference week for those who are
not employed.
8
Usual weekly hours are top-coded at 99 hours. In addition, basic demographic
characteristics of the household member are collected.
9
In the final month before a household either temporarily or permanently leaves the sample—
i.e. in survey months 4 and 8—respondents are asked about usual weekly wage and salary earn-
ings. Earnings are before taxes and other deductions and include overtime pay, commissions and
tips. For multiple jobholders, the data reflect earnings at their main job. Earnings are top-coded
at thresholds that vary throughout the sample. We refer to the first (second) wage observation
month as the first (second) ORG month.
8
Prior to 1994, usual weekly hours are only recorded in the ORG.
9
Starting in 1994, households with varying hours do not report usual weekly hours on the main job. We replace
these with actual hours worked on the main job.
11
3.2 Sample selection and variable construction
We restrict attention to individuals aged 16 and older who have non-missing age, race, gen-
der and education, and who live in one of the 50 U.S. states or Washington D.C. We drop self-
employed individuals, since weekly earnings are only recorded for wage and salary employees.
Changes to individual identifiers prevent linking individuals in the following breaks: June-July
1985, September-October 1985, and May-October 1995.
We aggregate race to white, black and other, and education to less than high school, a high-
school diploma, some college, a bachelor’s degree, and more than a bachelor’s degree. We top-
code age at 75 years. Occupations are recoded to the 2010 classification. We multiply top-coded
weekly earnings by 1.5 following standard praxis.
We link individuals across survey months as well as between the basic monthly/ORG using
the consistent ID created by IPUMS (CPSIDV).
10
It links individuals based on household identifiers,
person identifiers, age, sex, and race.
We classify individuals in each month as wage employed, self-employed, unemployed and
not in the labor force following standard practice. Since at least Clark and Summers (1979), it has
been recognized that the distinction between unemployment and not in the labor force is fuzzy.
Consequently, we classify all unemployed and not in the labor force as non-employed.
11
We estimate the separation probability to non-employment δ
t
as the share of wage employed
individuals in month t who are non-employed in month t + 1. We estimate the job finding proba-
bility of the non-employed λ
n
t
as the share of non-employed individuals in month t who are wage
employed in month t + 1. Due to inability to link individuals in the breaks mentioned above, we
cannot compute these flow rates in June 1985, September 1985, and May-September 1995.
We construct the hourly real wage as usual weekly earnings divided by usual weekly hours
worked, converted to 2022 USD using the CPI. Since our theory is about residual wage dispersion,
we residualize log hourly real wages off a rich set of observable characteristics (age-race-gender-
education-year dummies and state-date fixed effects)
w
i,t
= ξ
a,r,g,e,y
+ ξ
s,t
+ ε
i,t
(8)
We also present results adding 3-digit occupation-year fixed effects to (8). To estimate the unob-
servables model, we additionally include a worker’s wage 12 months earlier in (8).
Subsequently, to limit the impact of a few outliers, we winsorize residual wages at each date at
the bottom and top 0.5 percentiles. Finally, we compute N cutoffs b
i
such that a share i/N of ob-
servations in the pooled 1979–2023 sample earn a residual wage below b
i
(weighted by the survey
10
See https://assets.ipums.org/_files/ipums/working_papers/ipums_wp_2023-01.pdf.
11
We have confirmed that we get a similarly large decline in EE mobility over time if we alternatively restrict attention
to only those who are formally unemployed.
12
weights). We construct these thresholds based on the baseline model, and use the same thresholds
consistently in all models to avoid any differences being driven by changes in the binning. We
assign b
0
= w, dw
i
= b
i
b
i 1
and w
i
= (b
i
+ b
i 1
) /2. In practice, we set N = 50.
12
We estimate the wage offer distribution of the non-employed at time t, f
n
t,i
, as the (weighted)
share of hires from non-employment who earns a residual wage greater than b
i 1
but less than b
i
f
n
t,i
=
1
dw
i
j
b
i1
b
w
t,j
<b
i
hire
n
t,j
=1
weight
t,j
j
hire
n
t,j
=1
weight
t,j
(9)
where we define a hire from non-employment at date t, hire
n
t,j
, as any employed individual j at
time t who was non-employed in month t 1. We estimate the wage distribution at time t, g
t,i
, as
the (weighted) share of employment who earns a residual wage greater than b
i 1
but less than b
i
g
t,i
=
1
dw
i
j
b
i1
b
w
t,j
<b
i
weight
t,j
j
weight
t,j
(10)
We subsequently construct the cdfs of the wage offer and wage distributions in the obvious way.
3.3 Estimating EE mobility and its associated wage growth
To improve the precision of our estimates of EE mobility at date t, we pool months t T to t +
T, where in our benchmark we set T = 12. That is, we obtain a 23-month centered moving
average. Specifically, we first assign for each outcome y
τ,i
= {G
τ,i
, G
τ+1,i
, F
τ+1,i
, g
τ,i
} and x
τ
=
{e
τ
, e
τ+1
, λ
n
τ
, δ
τ
} in period t the average outcome between t T and t + T
y
t,i
=
1
2T + 1
t+T
τ=tT
y
τ,i
x
t
=
1
2T + 1
t+T
τ=tT
x
τ
We set the poaching separation rate in period t as
sep
e
t,i
= 1 δ
t
G
t+1,i
G
t,i
e
t+1
e
t
+ λ
n
t
F
n
t+1,i
G
t,i
1 e
t
e
t
(11)
Based on (3), we estimate the EE transition probability in period t as
EE
t
=
N
i =1
sep
e
t,i
g
t,i
dw
i
(12)
12
While the level of EE mobility changes modestly if we change the number of grid points—we have experimented
with N = 10, N = 20, N = 100 or N = 500—the time trend is virtually identical. These results are available on request
(or can easily be reproduced by changing one global setting in the code we plan to make available for public use).
13
Based on (5), we estimate average wage growth due to EE mobility as
w
t
=
N
i =1
sep
e
t,i
G
t,i
dw
i
(13)
To implement the decomposition (4) of the EE transition probability into the job finding probability
versus the acceptance probability (which requires the assumption that f
e
t
= f
n
t
), we estimate the
job finding probability of the employed and the acceptance probability as
x
t,i
=
1 δ
t
G
t+1,i
G
t,i
e
t+1
e
t
+ λ
n
t
F
n
t+1,i
G
t,i
1 e
t
e
t
!
.
1 F
n
t+1,i
λ
e
t
=
N
i =1
x
t,i
g
t,i
dw
i
acceptance
t
=
EE
t
λ
e
t
3.4 Validation
Before we use our methodology to provide new evidence on long-run trends in allocative EE
mobility, we pause to consider three validation exercises of our methodology.
First, we contrast allocative EE mobility with measures of raw EE mobility from the CPS, SIPP
and NLSY ’79. Specifically, we construct the fraction of employed workers in month t who are
employed with a different employer in month t + 1. Additionally in the SIPP and NLSY ’79, we
compute the share of workers who make an EE transition with an associated wage gain.
13
Figure 3 shows a more pronounced decline in raw EE mobility in the CPS during the 2000s.
Fujita, Moscarini and Postel-Vinay (Forthcoming) argue that this is due to changes in non-response
rates that bias the raw CPS series toward showing an excessively large decline since the early
2000s. As is well-known, EE mobility is lower in the SIPP than the CPS. Allocative EE mobility is
substantially lower than raw EE mobility in both the CPS and SIPP, consistent with large EE flows
toward lower paying jobs (Tjaden and Wellschmied, 2014; Sorkin, 2018). Once we condition on
those who experienced a wage gain during their transition, raw EE mobility toward higher paying
jobs is reassuringly similar in both level and changes to allocative EE mobility.
Figure 4 shows a significant decline in EE mobility toward higher paying jobs in the NLSY ’79
over time. Because these data follow only one cohort, these changes result from both aggregate
13
Consistent SIPP data are available from 1996 to 2013, while data from the NLSY ’79 is available for a cohort that
turned 14–22 in 1979. The NLSY records employment status, employer ID and hourly wages on a weekly basis. We
replicate our CPS/SIPP sample by restricting attention to a main employer in one selected “survey week” of each
month. We focus in the NLSY ’79 on years 1981 (when the youngest individuals turned 16) to 2018 (when the oldest
individuals turned 60). We impose exactly the same sample selection criteria as in the CPS and residualize wages off
the same demographics (the one difference is that we cannot include state-date fixed effects in the NLSY ’79, since state
identifiers are not made publicly available).
14
1992 1996 2000 2004 2008 2012 2016 2020 2024
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
Monthly probability (%)
Baseline CPS FMP SIPP SIPP (up)
Figure 3: Comparison between the EE transition probability implied by the baseline model (black),
the raw overall EE transition probability in the CPS (dotted light blue), the Fujita, Moscarini and
Postel-Vinay (Forthcoming) series (solid light blue), the SIPP (dotted dark blue), and the EE tran-
sition probability towards higher-paying jobs in SIPP (solid dark blue) over time. All series are
smoothed with a 23-month centered moving average.
time effects and aging of the cohort. To compare apples-to-apples, we re-estimate allocative EE
mobility for the restricted sample of individuals aged 14–22 in 1979. The decline in allocative EE
mobility starts a few years later according to the NLSY ’79 and is subsequently somewhat larger.
Yet the two series are reassuringly similar, both in levels and changes over time.
1980 1984 1988 1992 1996 2000 2004 2008 2012 2016 2020
0.0
0.5
1.0
1.5
2.0
2.5
Monthly probability (%)
Baseline
NLSY ’79
Figure 4: Monthly allocative EE transition probability according to our methodology and the raw
EE transition probability toward higher paying jobs in the NLSY ’79. Both series are for the cohort
of individuals that were aged 14–22 in 1979, and are smoothed using a 23-month moving average.
Second, we probe the assumption that the recently non-employed are not different in unob-
servable dimensions than their identical looking peers. To that end, we note that an implication
of this assumption is that wages of hires from non-employment should converge over time to the
average wage among all workers. Figure 5 plots the progression of average wages for workers
15
hired in month 0 from non-employment as well as the average wage of all workers. All series are
residualized off the demographic characteristics in the baseline model, and normalized relative
to initial residual wages in month 0 for hires from non-employment. Note that we do not con-
dition on continuous employment—i.e. some workers experience subsequent non-employment
spells. Since we are only able to follow workers for a short period in the CPS, we exploit also
the longer panel of the SIPP. Wages grow somewhat more with time since non-employment in the
SIPP than the CPS, consistent with a larger gap between the offer distribution and wage distribu-
tion in the former. Both data sources, however, paint a picture of gradual convergence, although it
remains incomplete (but continuing) 60 months later. This evidence is consistent with the recently
non-employed not being different than their identical looking peers in unobservable dimensions.
Nevertheless, we later consider an extension that controls for such unobserved heterogeneity.
0 10 20 30 40 50 60
0.00
0.05
0.10
0.15
0.20
Cumulative wage growth (logs)
Hires at t = 0 (SIPP)
All (SIPP)
0.00
0.04
0.08
0.12
0.16
Cumulative wage growth (logs)
Hires at t = 0 (CPS)
All (CPS)
Figure 5: Convergence in average residual wages of workers after they leave non-employment
(t = 0) toward economy-wide average residual wage. Both series are expressed in log deviations
to average wages of hires from non-employment in the month they enter employment. SIPP (dark
blue) over 60 months and CPS (light blue) over 12 months following employment entry.
Third, we validate the assumption that job ladder dynamics is the sole driver of residual wage
dynamics. Figure 6 uses the panel structure of the SIPP to decompose wage growth among hires
from non-employment in month t into that among workers who remain with the same employer
between two consecutive months, those who make an EE transition toward a higher paying job,
and those who make a move toward a lower paying job, including the effect of some workers sep-
arating to non-employment and others entering from non-employment.
14
The evolution of wages
of recent hires from non-employment in Figure 5 is primarily the result of job ladder dynamics,
as opposed to wage changes on-the-job, broadly consistent with the assumptions of our theory.
Nevertheless, we later consider an extension that allows for residual wage growth on-the-job.
14
Because the employment rate of hires at time t = 0 varies as time progresses, the decomposition is not exact. We
lump the residual with the falling off the job ladder component, but note that it is small.
16
0 10 20 30 40 50 60
Months since hire from nonemployment
0.50
0.25
0.00
0.25
0.50
0.75
Cumulative wage growth (logs)
Stayers Up the ladder Falling off ladder
Figure 6: Decomposition of overall cumulated wage growth (black) for workers exiting nonem-
ployment at t = 0 in contribution due to moves up the ladder (dotted), falling off the ladder
(dashed), and non-movers (solid).
4 Results
Having validated our approach, we now use to document long-run trends in EE mobility.
4.1 Three facts
Fact I. According to the baseline model in Figure 7, 1.5 percent of workers made an EE transition
toward a higher paying job per month in the 1980s. Over time, allocative EE mobility declined
substantially, falling by roughly 50 percent from 1979 to 2023. The decline was particularly pro-
nounced between 1985 and 2000. Our estimate also indicates a brief reversal in the decline during
the early years of the pandemic (Birinci et al., 2022; Caratelli, 2022) and the recovery that followed,
but that the allocative EE transition probability continued to decline since then.
In Appendix 8.1 we discuss the implications of our estimate of allocative EE mobility for over-
all worker flows, finding that allocative EE mobility contributed to almost half of the decline in
worker reallocation since 1980. Moreover, we show that worker flows are roughly four times as
large as job flows, and that most of the decline in worker reallocation over the past 40 years is
accounted for by a fall in worker churn, not job reallocation.
Fact II. A recent literature stresses the central role of EE mobility for wage growth (Karahan
et al., 2017; Moscarini and Postel-Vinay, 2017; Ozkan, Song and Karahan, 2023; Tanaka, Warren
and Wiczer, 2023). We would hence expect the decline in EE mobility to contribute to weaker
wage growth. Figure 8 confirms this intuition based on equation (5), finding a decline in monthly
residual wage growth due to EE mobility of about 0.15 percentage points from the 1980s until now.
17
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.5
1.0
1.5
2.0
Monthly probability (%)
Figure 7: Estimated EE transition probability.
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.1
0.2
0.3
0.4
0.5
0.6
Monthly growth (log points)
Figure 8: Monthly growth in residual wages associated with EE mobility.
Fact III. Differences in EE mobility across demographic subpopulations combined with shifts in
demographic composition over time could account for the aggregate decline in EE mobility. To
assess the importance of such composition effects, we first replicate our analysis within subpop-
ulations defined by gender, race, education and age. Given our focus on secular trends and the
limited number of observations, we aggregate the data to five-year bins and reduce the number
of wage bins to N = 10.
15
Subsequently, we employ a standard shift-share framework. That is, if
ω
i
t
is subpopulation i’s share of employment in period t and EE
i
t
is subpopulation i’s EE transition
probability in period t, the overall change in EE mobility between t and τ t writes
EE
τ
EE
t
=
i I
ω
i
τ
ω
i
t
EE
i
t
| {z }
composition effect
+ ω
i
t
EE
i
τ
EE
i
t
| {z }
within-group effect
+
ω
i
τ
ω
i
t
EE
i
τ
EE
i
t
| {z }
covariance
(14)
15
It makes little difference if we set N = 10, N = 20, N = 50 or N = 100 for both the aggregate results above as well
as those within sub-population that we present here.
18
Table 1 presents a shift-share decomposition of the overall decline in EE mobility between
1980–1984 and 2015-2019. We start by considering the effects of shifts in the gender, race, educa-
tion and age composition one at a time. Because women have a higher EE transition probability
toward higher paying jobs, the increasing share of women in the workforce contributed to a (small)
increase in EE mobility, ceteris paribus. At the same time as the share of women in the workforce
rose, however, women’s EE transition probability disproportionately declined, contributing to a
negative covariance term. Shifts in the racial composition left aggregate EE mobility essentially
unaffected, because white and black workers have similar levels of EE mobility.
More educated workers have a lower EE transition probability. Consequently, rising educa-
tional attainment of the U.S. workforce ceteris paribus lowered aggregate EE mobility, accounting
for 12 percent of the aggregate fall. Because the subpopulation whose weight rose over time—
more educated workers—experienced a smaller decline in EE mobility, the covariance term is
positive. The within-group decline is comparable in size to the aggregate decline.
Since older individuals are less mobile, aging of the U.S. workforce over this period accounts
for 15 percent of the aggregate declines. At the same time as their share of the workforce rose,
older workers experienced a relatively smaller decline in EE mobility, so that the covariance term
is positive. The average within-group decline is of a similar magnitude as the aggregate decline.
Finally, we consider the joint effect of shifts in the education and age distributions. Combined,
these shifts account for just under 30 percent of the aggregate decline in EE mobility. Hence, the
majority of the fall in EE mobility takes place within such demographic subpopulations.
Gender Race Education Age Age×Education
Composition -3.3% -1.6% 11.9% 15.2% 28.5%
Within-group 100.3% 100.4% 98.5% 98.0% 90.3%
Covariance 2.9% 1.1% -10.5% -13.2% -18.8%
Total 100% 100% 100% 100% 100%
Table 1: Shift-share decomposition of change in aggregate EE transition probability between 1980–
1984 and 2015–2019 into composition effect, within-group effect and covariance following (14), by
demographic group. Race is aggregated to white or black; education is aggregated to less than
college or college or more; age is aggregated to 5-year age bins between age 20 and 64.
To further highlight trends in EE mobility within demographic subpopulations, Figure 9 plots
EE mobility within demographic subpopulations (Appendix 8.3 shows associated wage growth
for each subpopulation; Appendix 8.4 shows results by broad occupation groups). According to
panel a, allocative EE mobility was larger for women throughout, coinciding with women mak-
ing rapid advancements in the labor market (Goldin, 2014). However, the decline over the past
decades was more pronounced for women. In contrast, black and white workers have similar
19
levels of EE mobility (panel b). Workers without a college degree were more likely than their peers
with a degree to make an EE transition toward a higher paying job in the first half of our sample
(panel c), consistent with the findings of Haltiwanger, Hyatt and McEntarfer (2018). Since then,
the job ladder for those with at most a high-school degree experienced a dramatic collapse. Panel
d shows that young workers consistently have a higher EE transition probability toward higher
paying jobs than their older peers, consistent with the findings in Haltiwanger, Hyatt and McEn-
tarfer (2018). Over time, however, young workers experienced a more pronounced decline in such
mobility (Bosler and Petrosky-Nadeau, 2016, draw a similar conclusion based on the SIPP 1996–
2013). These trends are particularly concerning given the importance of EE mobility for young
workers’ career advancement (Topel and Ward, 1992).
16
(a) Gender
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.5
1.0
1.5
2.0
2.5
Monthly probability (%)
Female
Male
(b) Race
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.5
1.0
1.5
2.0
2.5
Monthly probability (%)
Black
White
(c) Education
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.5
1.0
1.5
2.0
2.5
Monthly probability (%)
Less than college
College or more
(d) Age
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.5
1.0
1.5
2.0
2.5
Monthly probability (%)
20-29
30-39
40-49
50-59
Figure 9: EE transition probability by subpopulations. All mobility is to higher-paying jobs.
4.2 Why we infer a decline in allocative EE mobility
To illustrate why we infer that allocative EE mobility declined, Figure 10 implements the steady-
state decomposition (7) of the EE transition probability into changes in the separation probability
to non-employment and changes in the gap between the offer and wage distributions. Although
16
The pattern in panel d suggests a role for cohort effects, whereby new cohorts are systematically less likely to make
EE transitions toward higher paying jobs than their older peers. In Appendix 8.5, we confirm this hypothesis.
20
this incorrectly assumes that the economy is in steady-state, in practice it seems to matter little, in
the sense that the estimated overall change in EE mobility is similar whether we use the full dy-
namic model (solid black) or impose the steady-state assumption (solid blue). For a fixed average
gap between the wage and offer distributions, the observed decline in the separation probability
to non-employment over this period implies that EE mobility must have declined. Conversely,
holding fixed the separation probability to non-employment, a shrinking gap between the offer
and wage distributions must be the result of lower EE mobility.
In a statistical sense, this decomposition shows that a shrinking gap between the wage offer
and wage distributions is the main reason we infer a decline in allocative EE mobility. That being
said, the separation channel remains important in terms of accounting for some episodes, such as
the increase in the EE transition probability in the Pandemic recession.
1980 1985 1990 1995 2000 2005 2010 2015 2020
120
100
80
60
40
20
0
20
Change since 1979 (log points)
Overall (baseline)
Overall (steady state)
Separation channel
Offer channel
Figure 10: Decomposition of allocative EE mobility into the separation probability channel and
the offer channel based on (7).
Figure 11 illustrates further the offer channel by plotting the wage and offer distributions using
pooled data in 1980–1999 and 2000–2019. We normalize wages to the mean of the offer distribution
in each decade. The wage distribution is visibly shifted less to the right of the offer distribution in
the later period. We infer based on this that allocative EE mobility declined.
5 Extensions
We now relax some of the strong assumptions imposed by the theory. Specifically, we extend our
framework to account for on-the-job wage growth, unobservable differences between the recently
non-employed and all workers, and EE mobility toward lower paying jobs.
21
(a) 1980–1999.
2.0 1.5 1.0 0.5 0.0 0.5 1.0 1.5 2.0
Log residual wage
0.0
0.2
0.4
0.6
0.8
1.0
1.2
Density
(b) 2000–2019.
2.0 1.5 1.0 0.5 0.0 0.5 1.0 1.5 2.0
Log residual wage
0.0
0.2
0.4
0.6
0.8
1.0
1.2
Density
Figure 11: Residual wage offer (black) and wage (blue) distributions in 1980-1999 and 2000-2019.
5.1 Theory
On-the-job wage growth. An alternative explanation of the fact that the wage distribution first-
order stochastically dominates the wage offer distribution is on-the-job growth in wages. Al-
though our empirical implementation residualizes wages off a rich set of demographic charac-
teristics that capture wage growth with experience (separately by gender-race-education-year) as
well as with aggregate factors (state-date fixed effects), residual wages may still grow with tenure
at an employer. Such wage growth may, for instance, arise if employers backload wages (Balke
and Lamadon, 2022) or counter outside job offers (Postel-Vinay and Robin, 2002). Suppose that
wages grow on the job at rate ξ
t
. Then the law of motion for the wage distribution (1) becomes
17
g
t+1
(
w
)
e
t+1
= g
t
( w)e
t
δ
t
g
t
( w)e
t
λ
e
t
(
1 F
e
t+1
( w)
)
g
t
( w)e
t
+ λ
n
t
f
n
t+1
( w)(1 e
t
) + λ
e
t
f
e
t+1
( w)G
t
( w)e
t
ξ
t
g
t
( w)e
t
Integrating this from to w and rearranging
λ
e
t
1 F
e
t+1
( w)
|
{z }
sep
e
t
(w)
= 1
G
t+1
( w)
G
t
( w)
e
t+1
e
t
+ λ
n
t
F
n
t+1
( w)
G
t
( w)
1 e
t
e
t
δ
t
ξ
t
g
t
( w)
G
t
( w)
17
This is a discrete time approximation to a continuous time model in which (log) wages drift at rate ξ(t), i.e. the
evolution of the pdf g(w, t) is characterized by the Fokker-Planck partial differential equation
g
(
w, t
)
t
=
δ(t) + λ
e
(t)
(
1 F
e
(w, t)
)
+
˙
e(t)
e(t)
g(w, t)
+ λ
n
(t) f
n
(w, t)
1 e(t)
e(t)
+ λ
e
(t) f
e
(w, t)G(w, t) ξ(t)
g(w, t)
w
for all t 0, subject to some initial value g(w, 0) = g
0
(w) for all w and
R
g(w, t)dw = 1 for all t.
22
We estimate the poaching separation probability sep
e
t
( w) and substitute it into (3) to obtain the EE
transition probability and into (5) to get the associated wage growth. We refer to this as the OTJ
model to distinguish it from the baseline model above.
Unobserved heterogeneity. A second reason why the wage distribution may dominate the wage
offer distribution is if recent hires from non-employment disproportionately consist of workers
who generically earn less across all jobs. In this case, the gap between the wage and the wage
offer distribution partly reflects observable or unobservable permanent worker heterogeneity.
As we noted above, we control for a rich set of observable demographic characteristics in our
empirical implementation. Yet workers may also differ in unobservable dimensions. To address
this, we exploit the fact that we observe wages twice in the ORG, with a 12 month gap. We add
a worker’s prior wage when we residualize current wages. The main drawback is that it cuts the
sample by roughly 60 percent, since it requires respondents to be employed in both the first and
second ORG month. We refer to this as the unobservables model.
EE mobility with wage cuts. Our model so far does not allow for EE mobility with wage cuts,
which is common in the data (Tjaden and Wellschmied, 2014; Sorkin, 2018). To allow for this, we
follow Jolivet, Postel-Vinay and Robin (2006) to assume that workers receive an outside job offer
that they have to accept with probability λ
g
t
, drawn from the wage offer distribution F
g
t+1
( w).
18
We refer to such mobility as undirected EE mobility to differentiate it from the concept of allocative
EE mobility discussed above. Then the law of motion (1) becomes
g
t+1
(
w
)
e
t+1
= g
t
( w)e
t
δ
t
g
t
( w)e
t
λ
e
t
(
1 F
e
t+1
( w)
)
g
t
( w)e
t
λ
g
t
g
t
( w)e
t
+ λ
n
t
f
n
t+1
( w)(1 e
t
) + λ
e
t
f
e
t+1
( w)G
t
( w)e
t
+ λ
g
t
f
g
t+1
( w)e
t
Integrating this from to w, applying integration by parts, gives
G
t+1
(
w
)
e
t+1
=
1 δ
t
λ
e
t
(1 F
e
t+1
( w))
G
t
( w)e
t
+ λ
n
t
F
n
t+1
( w)(1 e
t
)
+ λ
g
t
F
g
t+1
( w) G
t
( w)
e
t
which we can rearrange as
λ
e
t
1 F
e
t+1
( w)
= 1
G
t+1
( w)
G
t
( w)
e
t+1
e
t
+ λ
n
t
F
n
t+1
( w)
G
t
( w)
1 e
t
e
t
δ
t
+ λ
g
t
F
g
t+1
( w) G
t
( w)
G
t
( w)
(15)
Suppose first that such wage offers are drawn from the overall wage distribution at time t,
F
g
t+1
( w) = G
t
( w). One microfoundation is if employed workers learn about outside offers from
18
One can view this as a reduced form way of modeling amenities as in Hall and Mueller (2018).
23
meeting with other employed workers (during conferences, through supplier networks, etc).
19
In
this case, the last term in (15) is identically zero, i.e. such undirected mobility leaves the wage
offer distribution unaffected. Consequently, to construct allocative EE mobility, we can proceed
identically to the baseline model to compute the poaching separation probability based on (11)
and the allocative EE transition probability from (3). The undirected EE transition probability is
the difference between overall EE mobility and allocative EE mobility
λ
g
t
|{z}
undirected EE mobility, EE
g
t
= EE
T
t
|{z}
overall EE mobility
EE
t
|{z}
directed EE mobility
(16)
While we can continue to infer allocative EE mobility since 1979 as above, we can only estimate
undirected EE mobility since 1994 (when the overall EE transition probability became available in
the CPS). We refer to this as the 1st godfather model (Jolivet, Postel-Vinay and Robin, 2006).
Alternatively, suppose that such job offers are drawn from the distribution of wage offers of the
non-employed, F
g
t
( w) = F
n
t
( w). Using this in (15), the poaching separation probability becomes
sep
e
t
( w) = 1
G
t+1
( w)
G
t
( w)
e
t+1
e
t
+
λ
n
t
1 e
t
e
t
+ λ
g
t
F
n
t+1
( w)
G
t
( w)
δ
t
+ λ
g
t
(17)
Allocative EE mobility is given by (3), while overall EE mobility (16) is
EE
T
t
=
Z
1
G
t+1
( w)
G
t
( w)
e
t+1
e
t
+
λ
n
t
1 e
t
e
t
+ λ
g
t
F
n
t+1
( w)
G
t
( w)
δ
t
+ λ
g
t
dG
t
( w) + λ
g
t
=
Z
1
G
t+1
( w)
G
t
( w)
e
t+1
e
t
+ λ
n
t
1 e
t
e
t
F
n
t+1
( w)
G
t
( w)
δ
t
dG
t
( w) + λ
g
t
Z
F
n
t+1
( w)
G
t
( w)
dG
t
( w)
Using the overall EE transition probability available since 1994 in the CPS, we recover λ
g
t
from
λ
g
t
=
EE
T
t
R
1
G
t+1
( w)
G
t
( w)
e
t+1
e
t
+ λ
n
t
1e
t
e
t
F
n
t+1
(w)
G
t
(w)
δ
t
dG
t
( w)
R
F
n
t+1
( w)
G
t
( w)
dG
t
( w)
(18)
We substitute the estimated λ
g
t
into (17) to recover the poaching separation probability, and use
this in (3) to construct the allocative EE transition probability. We refer to this as the 2nd godfather
model.
19
Since our methodology to infer allocative EE mobility does not require an assumption on F
e
t
(w), we are free to also
set F
e
t+1
(w) = G
t
(w) to be consistent with our assumption regarding undirected mobility.
24
5.2 Data, sample selection and variable construction
In January or February of 1983, 1987, and every other year since 1996, the CPS fielded the Tenure
Supplement.
20
It asks employed respondents how long they have been with their current employer.
We use information from the Tenure Supplement to estimate wage growth on-the-job.
Our analysis of on-the-job wage growth using ORG and Tenure Supplement data is restricted
to those who are in their second ORG month when the Tenure Supplement is fielded, so that
we can compute within-individual wage growth since their first ORG month. Furthermore, we
condition on more than 12 months of tenure with the current employer, so that within-individual
wage growth coincides with within-job wage growth.
We estimate on-the-job wage growth, ξ
t
, as the change in residual wages between month t and
t 12 among workers who remain with the same employer. Since we cannot link individuals in
the breaks mentioned above, we cannot compute wage growth between June 1995, and September
1996. We set ξ
t
equal to (1/12 of) the mean of this at each Tenure Supplement date, and linearly
interpolate between Tenure Supplement dates as well as between these breaks to get ξ
t
for all t.
To estimate the OTJ model with on-the-job wage growth, we augment (11) as
sep
e
t,i
= 1
δ
t
G
t+1,i
G
t,i
e
t+1
e
t
+ λ
n
t
F
n
t+1,i
G
t,i
1 e
t
e
t
ξ
t
g
t,i
G
t,i
We construct the EE transition probability based on (12) and the average wage gain based on (13).
To estimate the unobservables model, we proceed identically to above but instead using wages
residualized also off the previous wage to construct the wage offer and wage distributions.
To estimate the 1st godfather model, we use allocative EE mobility as estimated in the baseline
model, and infer undirected EE mobility as the difference between overall EE mobility in the
CPS and allocative EE mobility. In theory, this can be measured since the redesign of the CPS
in 1994, but since the series provided by Fujita, Moscarini and Postel-Vinay (Forthcoming) starts
in September 1995, we start then. To estimate the 2nd godfather model, we first construct the
undirected arrival probability of offers (18) as
λ
g
t
=
EE
T
t
N
i =1
1
G
t+1,i
G
t,i
e
t+1
e
t
+ λ
n
t
1e
t
e
t
F
n
t+1,i
G
t,i
δ
t
g
t,i
dw
i
N
i =1
F
n
t+1,i
G
t,i
g
i,t
dw
i
where EE
T
t
is the overall EE transition probability as measured by Fujita, Moscarini and Postel-
Vinay (Forthcoming) (averaged between t T and t + T). Given an estimate of the arrival proba-
20
Microdata from the Tenure Supplement exist also for 1979 and 1981, while aggregate tabulations of tenure exist
back to the 1960s. Prior to 1983, however, respondents were asked for tenure on their current job, while after 1983 they
were asked for tenure with their current employer. For this reason, we focus on the post-1983 data.
25
bility of godfather shocks λ
g
t
, we construct the poaching separation probability (17) as
sep
e
t,i
= 1 δ
t
λ
g
t
G
t+1,i
G
t,i
e
t+1
e
t
+
λ
n
t
1 e
t
e
t
+ λ
g
t
F
n
t+1,i
G
t,i
ξ
t
g
t,i
G
t,i
We substitute this alternative poaching separation probability into (12) to estimate the allocative
EE transition probability.
5.3 Results
Allowing for on-the-job wage growth. Panel a of Figure 12 shows that allowing for on-the-
job growth in residual wages makes almost no difference to the level of allocative EE mobility.
This finding is not surprising in light of the evidence from the SIPP in Section 3.4 that on-the-job
growth in residual wages with tenure is small. Panel b decomposes overall wage growth into that
associated with EE mobility toward higher paying jobs and that on-the-job. The latter is generally
small, confirming the evidence from the SIPP of little on-the-job growth in residual wages.
Observed and unobserved heterogeneity. Figure 13 illustrates the role of observable and unob-
servable heterogeneity. Specifically, the “raw” series plots the allocative EE transition probability
(panel a) and associated wage growth (panel b) that we would infer if we did not residualize
wages off any demographic characteristics. It is substantially higher than our baseline estimate,
because recent hires are more likely to come from lower earning demographic subpopulations.
Consequently, the gap between the wage offer and wage distribution is larger, leading us to infer
a higher level of allocative EE mobility.
If we also include three digit occupation-year fixed effects in the residualization of wages, we
infer an even lower level of allocative EE mobility and associated wage growth. The reason is that
some of the gap between the wage offer and wage distributions is accounted for by systematic
differences in occupational composition. If EE transitions are associated with occupational up-
grading, however, one might not want to control for detailed occupation. In any case, the relative
decline over time is of a similar magnitude with and without detailed occupation-year controls.
In contrast, it matters relatively less for allocative EE mobility if we also control for unobserv-
able characteristics via prior wages. The reason is that after controlling for rich observable char-
acteristics, recently non-employed workers do not earn much lower prior wages than their iden-
tically looking peers. While it matters less for EE mobility, it does lower wage growth associated
with EE mobility. After controlling for rich observable characteristics (including occupation-year
fixed effects) as well as unobservable characteristics via the previous wage, average wage growth
associated with EE mobility declined from about 0.25 percentage points monthly to 0.15 percent-
age points per month today, or about a one percentage point decline in annual wage growth.
26
(a) EE mobility
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.5
1.0
1.5
2.0
Monthly probability (%)
Baseline
OTJ wage growth
(b) Associated wage growth
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.1
0.2
0.3
0.4
0.5
0.6
Monthly growth (log points)
Overall EE moves OTJ wage growth
Figure 12: Estimated EE transition probability (panel a) and associated wage growth (panel b) in
the baseline model (black) and the OTJ model with on-the-job wage growth (dark blue dotted).
Incorporating godfather shocks. Figure 14 shows allocative and undirected EE mobility accord-
ing to the 1st and 2nd godfather models. Allocative EE mobility is higher according to the latter,
because it assumes that undirected EE job offers are drawn from the wage offer distribution of
the non-employed instead of the overall wage distribution. Consequently, undirected EE mobility
tends to move workers down the job ladder according to the 2nd godfather model. To counter
this force, allocative EE mobility must be higher to be consistent with a given gap between the
wage offer and wage distributions. The relative decline in allocative EE mobility is, however, sim-
ilar according to both models. While both models indicate a substantial amound of undirected
EE mobility, neither shows a pronounced secular trend. Although we cannot estimate allocative
EE mobility according to the 2nd godfather model prior to 1994, we speculate based on the close
27
(a) EE mobility
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
Monthly probability (%)
Baseline
Raw
Occupation controls
Unobservables
(b) Associated wage growth
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
Monthly growth (log points)
Baseline
OTJ
Occupation controls
Unobservables
Figure 13: Estimated EE transition probability and associated wage growth in the baseline model
with age-gender-race-education year and state-date controls (black), the model that additionally
adds three digit occupation-year controls (dotted light blue), the “unobservables” model that also
includes the prior wage 12 months earlier (dashed light blue), and the model with no controls
(solid blue).
similarity in the time trends across models that it declined since the mid-1980s.
In summary, we conclude that relaxing some of the strong assumptions imposed by our bench-
mark theory does not materially affect our conclusion that allocative EE mobility and its associated
wage growth declined substantially over the past half century in the U.S.
28
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
Monthly probability (%)
Allocative (GF2)
Undirected (GF2)
Allocative (GF1) / Baseline
Undirected (GF1)
Total
Figure 14: Allocative and undirected EE mobility according to the two godfather models, which
by construction sum to total EE mobility according to Fujita, Moscarini and Postel-Vinay (Forth-
coming).
6 Understanding the decline in allocative EE mobility
We end with an exploration of three prominent potential forces behind the decline in allocative EE
mobility. We first provide evidence that the decline is unlikely to be driven by an improvement in
workers’ existing matches. Second, we argue that it is likely not the result of a worsening matching
efficiency. Finally, we highlight a link with increases in labor market concentration.
6.1 Are workers better matched today?
One possibility is that allocative EE mobility is lower because workers are better matched today,
so that they make fewer transitions in search of better matches (Mercan, 2017; Pries and Rogerson,
2022). To investigate this hypothesis, recall from (4) that if we assume that the employed and non-
employed sample from the same wage offer distribution, we can decompose the EE transition
probability into the job finding probability and the acceptance probability
ln EE
t
= ln
λ
e
t
| {z }
job finding probability
+ ln
Z
1 F
n
t+1
(
w
)
dG
t
(
w
)
| {z }
acceptance probability
Figure 15 implements this decomposition, finding that workers are slightly more likely to ac-
cept offers today than they were in the 1980s. Molloy et al. (2016) similarly argue based on the lack
of a long-run trend in starting wages that workers are not better able to immediately locate a good
match today. Further supporting this view, Appendix 8.6 shows that the average wage gain upon
an EE transition toward a higher paying job rose over this period, both according to our structural
29
estimate and in the SIPP. In contrast, if workers were better matched today, we may have expected
a lower conditional gain associated with an EE move. We conclude based on this evidence that EE
mobility is lower today due to a lower job finding probability of the employed.
1980 1985 1990 1995 2000 2005 2010 2015 2020
140
120
100
80
60
40
20
0
20
Change since 1979 (log points)
Overall
Job-finding probability
Acceptance probability
Figure 15: Decomposition of allocative EE mobility into the job-finding probability and the accep-
tance probability. In solid black is the benchmark EE transition probability. Under the assumption
that employed and unemployed draw offers from the same distribution is the decomposition in
job-finding and acceptance probabilities.
6.2 Did the labor market become worse at matching workers and firms?
To understand the potential forces behind the decline in the job finding probability of the em-
ployed, it is useful to embed our partial equilibrium model in general equilibrium via the follow-
ing standard assumptions. First, suppose that the employed search with search efficiency s
t
0
relative to the non-employed. Second, let firms advertise jobs subject to a cost. Third, postulate a
homogeneous of degree one aggregate matching function M
t
(V
t
, S
t
) that gives the meeting proba-
bilities as a function of the total number of vacancies V
t
and effective number of searching workers
S
t
= 1 e
t
+ s
t
e
t
. Then the job finding probabilities of the non-employed and employed are
λ
n
t
= M
t
V
t
S
t
, 1
, and λ
e
t
= s
t
M
t
V
t
S
t
, 1
Consequently, changes in, for instance, the matching function, aggregate vacancies, or aggregate
search intensity have a proportional impact on the job finding probabilities of the employed and
non-employed. To gain insights into the sources of the changes in allocative EE mobility, it is
hence useful to also study changes in the non-employment-to-employment transition probability.
Figure 16 shows that the job finding probability of the employed fell by much more than that
of the non-employed (both series are expressed in log deviations relative to their values in 1979).
From the perspective of benchmark equilibrium theories of the labor market, it is hard to reconcile
30
these divergent patterns as the result of, for instance, a worsening matching efficiency or less
job creation by firms. Instead, our results point to forces that disproportionately reduced the job
finding probability of the employed. For instance, the employed could be searching less intensely
for jobs today (i.e. s
t
fell), perhaps discouraged by the increasing prevalence of non-competes
(Gottfries and Jarosch, 2023). Alternatively, increasing labor market concentration could have
reduced outside job options for the employed, with less of an effect on the job finding prospects
of the non-employed (Bagga, 2023; Jarosch, Nimczik and Sorkin, 2024). We offer some further
evidence consistent with the latter hypothesis below.
1980 1985 1990 1995 2000 2005 2010 2015 2020
160
140
120
100
80
60
40
20
0
20
Change since 1979 (log points)
Job finding probability of employed (λ
e
)
Job finding probability of nonemployed (λ
n
)
Figure 16: Log point change in the the job finding probability out of employment (black) and non-
employment (blue). All changes are since 1979.
6.3 Labor market concentration
One possible explanation behind the larger decline in the job finding probability of the employed
relative to the non-employed is increasing labor market concentration that reduced the opportu-
nities for job shopping (Bagga, 2023; Berger et al., 2023; Jarosch, Nimczik and Sorkin, 2024). For
instance, Jarosch, Nimczik and Sorkin (2024) argue that employers can commit to not rehire work-
ers who separate from them, thus reducing outside options for employed workers relative to the
non-employed. Indeed, the strong time series correlation between the number of employers per
worker and allocative EE mobility as plotted in Figure 17 suggests that the two may be related.
To investigate this hypothesis further, we re-estimate EE mobility across U.S. states plus Wash-
ington D.C. within five year bins. We merge the resulting EE transition probability with data on
the ratio of firms to workers from the BDS, which covers essentially all private sector employment
between 1978 and 2021. Given that we bin the data into five year bins, we restrict attention to
1980–2019, which offers the additional benefit that it avoids the Pandemic recession and recovery.
Figure 18 visualizes the data by plotting the log change in allocative EE mobility between
1980–1989 and 2010–2019 across U.S. states. While all states experienced declines in allocative
31
1980 1985 1990 1995 2000 2005 2010 2015 2020
125
100
75
50
25
0
25
Change relative to 1979 (log points)
EE mobility (left)
25
20
15
10
5
0
5
Change relative to 1979 (log points)
Firms per worker (right)
Figure 17: Log point change in allocative EE mobility against log point change in firms per worker
for the US.
EE mobility, it was more pronounced in some areas. Moreover, although there is some evidence
of spatial correlation with smaller declines in the middle of the country, it is fairly weak. Figure
19 plots allocative EE mobility and the ratio of firms to workers aggregated to the nine Census
divisions. Both series are in logs and expressed relative to the average across all Census divisions
at a point in time (equivalent to residualizing off time fixed effects) and the Census division mean
over the entire sample period (equivalent to taking out division fixed effects). In general, when a
division experienced a greater relative increase in market concentration, it saw a disproportionate
decline in allocative EE mobility. Moreover, only one region experienced a monotone change in
the relative firms/worker ratio over this 45 year period.
Figure 20 plots within-state log differences of the ratio of firms to workers and various labor
market outcomes between 1980–1989 and 2010–2019. States that experienced larger increases in
labor market concentration saw greater declines in allocative EE mobility (panel a). This is not
accounted for by a lower acceptance probability (panel b), but by a lower job finding probability
of the employed (panel c). In contrast, the correlation with changes in the job finding probability
of the non-employed is much weaker (panel d).
We investigate these conditional correlations more formally by projecting various labor mar-
ket outcomes at the state-five year period level (y
s,t
) on measures of labor market concentration
(c
s,t
). We focus on two measures of concentration: the ratio of firms to workers and the share of
employment in firms with 1000 or more employees. We run regressions of the form
y
s,t
= βc
s,t
+ ξ
s
+ ϕ
t
+ ε
s,t
(19)
Throughout, we control for state fixed effects (ξ
s
) and time fixed effects (ϕ
t
). Both the dependent
and independent variables are in logs, allowing us to interpret β as an elasticity.
21
Although we
21
We present results treating all variables in levels in Appendix 8.6.
32
-24 or smaller fall
-24 to -39
-39 to -54
-54 to -62
-62 to -77
-77 or larger fall
Change, log points
Figure 18: Log point change in allocative EE mobility between 1980–1989 and 2010–2019.
find these conditional correlations interesting, we stress that they should not be interpreted to
reflect a causal effect.
Table 2 displays our results. Panel A uses raw market concentration measures, while panel B
first residualizes these off a sector fixed effect. That is, panel B accounts for the possibility that
changes in market concentration may arise mechanically as a result of shifts in sectoral composi-
tion, if sectors differ in market concentration. The first row shows that a one percent increase in
the number of firms per worker is associated with a 1.4 percent increase in allocative EE mobility.
It is associated with a 1.5 percent increase in annual wage growth due to EE mobility. The decrease
in EE mobility is not the result of a lower acceptance probability, but a lower arrival probability of
outside job offers for employed workers. The job finding probability of the non-employed is only
weakly correlated with changes in firms per worker. Qualitatively, these results are consistent
with the aggregate time trends in the U.S. The second and third rows show similar results using
alternative concentration measures. Across the board, results change little if we first take out a
sector fixed effect from the measures of market concentration.
To provide a sense of the magnitude of these patterns, Figure 21 uses the cross-sectional esti-
mates to predict the impact of a more than 20 log point decline in the number of firms per worker
in the U.S. since the early 1980s (panel a) on national level labor market outcomes. There are sev-
eral important caveats associated with this, including the facts that we treat the estimates as causal
and that we disregard any aggregate equilibrium effects that are absorbed in the time fixed effects.
33
(a) East North Central
1980 1990 2000 2010
50
25
0
25
50
log points
EE (left)
10
5
0
5
10
firms / worker
(right)
(b) East South Central
1980 1990 2000 2010
50
25
0
25
50
10
5
0
5
10
(c) Middle Atlantic
1980 1990 2000 2010
50
25
0
25
50
10
5
0
5
10
log points
(d) Mountain
1980 1990 2000 2010
50
25
0
25
50
log points
10
5
0
5
10
(e) New England
1980 1990 2000 2010
50
25
0
25
50
10
5
0
5
10
(f) Pacific
1980 1990 2000 2010
50
25
0
25
50
10
5
0
5
10
log points
(g) South Atlantic
1980 1990 2000 2010
50
25
0
25
50
log points
10
5
0
5
10
(h) West North Central
1980 1990 2000 2010
50
25
0
25
50
10
5
0
5
10
(i) West South Central
1980 1990 2000 2010
50
25
0
25
50
10
5
0
5
10
log points
Figure 19: Allocative EE mobility and market concentration as measured by the ratio of firms to
workers over time by U.S. Census division. All mobility is to higher-paying jobs.
With these caveats in mind, panel b suggests that increases in labor market concentration could
have been an important factor behind the decline in allocative EE mobility that we observed over
the past 40 years. In particular, a falling number of employers per worker predicts a 37 log point
decline in EE mobility, relative to the 90 log point fall in the data. When we residualize the falling
number of employers per worker on sector fixed effects, we observe a larger decline in employ-
34
(a) EE mobility rate.
50 40 30 20 10 0 10
firm/worker (log point change 1980s-2010s)
250
200
150
100
50
0
50
Change 1980s-2010s (log points)
AL
AK
AZ
AR
CA
CO
CT
DE
DC
FL
GA
HI
ID
IL
IN
IA
KS
KY
LA
ME
MD
MA
MI
MN
MS
MO
MT
NE
NV
NH
NJ
NM
NY
NC
ND
OH
OK
OR
PA
RI
SC
SD
TN
TX
UT
VT
VA
WA
WV
WI
WY
β = 1.95
(0.58)
(b) Acceptance probability.
50 40 30 20 10 0 10
firm/worker (log point change 1980s-2010s)
60
40
20
0
20
40
60
Change 1980s-2010s (log points)
AL
AK
AZ
AR
CA
CO
CT
DE
DC
FL
GA
HI
ID
IL
IN
IA
KS
KY
LA
ME
MD
MA
MI
MN
MS
MO
MT
NE
NV
NH
NJ
NM
NY
NC
ND
OH
OK
OR
PA
RI
SC
SD
TN
TX
UT
VT
VA
WA
WV
WI
WY
β = 0.16
(0.28)
(c) Employed job-finding probability, λ
e
.
50 40 30 20 10 0 10
firm/worker (log point change 1980s-2010s)
250
200
150
100
50
0
50
Change 1980s-2010s (log points)
AL
AK
AZ
AR
CA
CO
CT
DE
DC
FL
GA
HI
ID
IL
IN
IA
KS
KY
LA
ME
MD
MA
MI
MN
MS
MO
MT
NE
NV
NH
NJ
NM
NY
NC
ND
OH
OK
OR
PA
RI
SC
SD
TN
TX
UT
VT
VA
WA
WV
WI
WY
β = 1.79
(0.71)
(d) Non-employed job-finding probability, λ
n
.
50 40 30 20 10 0 10
firm/worker (log point change 1980s-2010s)
50
40
30
20
10
0
Change 1980s-2010s (log points)
AL
AK
AZ
AR
CA
CO
CT
DE
DC
FL
GA
HI
ID
IL
IN
IA
KS
KY
LA
ME
MD
MA
MI
MN
MS
MO
MT
NE
NV
NH
NJ
NM
NY
NC
ND
OH
OK
OR
PA
RI
SC
SD
TN
TX
UT
VT
VA
WA
WV
WI
WY
β = 0.0
(0.14)
Figure 20: Changes in allocative EE mobility (a), the acceptance probability (b), the job-finding
probability of the employed (c), and the job-finding probability of the non-employed (d) by market
concentration as measured by number of firms per worker. All outcomes are in logs and graphs
show long-differences within a U.S. state plus Washington D.C. between 1980-1989 and 2010–2019.
All mobility is to higher-paying jobs.
ers per worker, indicating that more concentrated sectors have become a smaller share of the US
economy. Changes in residual employers per worker predict a nearly 53 log point fall, over 60%
of the overall fall in allocative EE mobility. The change in residual employers per worker accounts
for nearly three-quarters of the decline in wage growth due to EE mobility (panel c). Furthermore,
increasing labor market concentration predicts virtually no change in the acceptance probability
(panel d), so that the decline in EE mobility is driven by a lower job finding probability of the
employed (panel e). Finally, increases in labor market concentration are only associated with a
small change in the job finding probability of the non-employed (panel f). These predictions are
both qualitatively and quantitatively in line with U.S. national trends over this period.
35
(1) (2) (3) (4) (5)
EE
w
Acceptance
Probability
λ
e
λ
n
A. Raw labor market concentration
Firms per
worker
1.793*** 1.799*** 0.094 1.699*** -0.063
(0.556) (0.534) (0.239) (0.554) (0.102)
Emp. Share of
Large Firms
( 1000 emp.)
-1.535*** -2.005*** -0.160 -1.375*** -0.231
(0.414) (0.469) (0.205) (0.443) (0.136)
Emp. Share of
Small Firms
(< 100 emp.)
2.009*** 2.366*** 0.109 1.900*** 0.161
(0.675) (0.778) (0.230) (0.675) (0.151)
B. Residual labor market concentration
Firms per
worker
1.656*** 1.619*** 0.295 1.361*** -0.228
(0.641) (0.637) (0.297) (0.692) (0.109)
Emp. Share of
Large Firms
( 1000 emp.)
-1.642*** -2.217*** -0.254 -1.389*** -0.197
(0.509) (0.562) (0.245) (0.554) (0.158)
Emp. Share of
Small Firms
(< 100 emp.)
2.015*** 2.434*** 0.322 1.693*** 0.006
(0.845) (0.940) (0.280) (0.891) (0.169)
N 405 405 405 405 405
Table 2: OLS estimates of equation (19) using data from 51 U.S. States and Washington DC and
eight five-year time periods between 1980–2019. All variables are in logs and all specifications
include state and period fixed effects. Robust standard errors in parentheses, clustered at the state
level. * p < 0.1, ** p < 0.05, *** p < 0.01.
7 Conclusion
We develop a methodology to consistently estimate EE mobility toward higher paying jobs based
on publicly available micro data from the U.S. over the past half century, overcoming two chal-
lenges faced by the literature. First, we are able to estimate a consistent series for EE mobility
between 1979 and 2023. Second, we isolate the component of EE mobility that systematically
reallocates workers up the job ladder. We establish three long-run trends in such allocative EE
mobility in the U.S. First, such mobility fell by half between 1979 and 2023. Second, this decline
translated to over a one percentage point fall in annual wage growth associated with EE mobility.
36
(a) Firms per worker.
1980 1990 2000 2010 2020
35
30
25
20
15
10
5
0
5
Change since 1980s (log points)
(b) EE transition probability.
1980 1990 2000 2010 2020
120
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(c) Annual wage growth associated with EE mobility.
1980 1990 2000 2010 2020
0.6
0.5
0.4
0.3
0.2
0.1
0.0
0.1
0.2
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(d) Employed acceptance probability.
1980 1990 2000 2010 2020
120
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(e) Employed job finding probability λ
e
.
1980 1990 2000 2010 2020
120
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(f) Non-employed job finding probability λ
n
.
1980 1990 2000 2010 2020
120
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
Figure 21: Panel (a) shows the change in market concentration as measured by firms per worker.
The remaining panels show the actual (black) and predicted (blue) labor market variables where
the prediction is the cross-sectional point estimate from regression (19) multiplied by the national
change in concentration. Displayed in order are EE transition probability (b), the associated aver-
age wage change (c), the acceptance probability (d), the employed job-finding probability (e), and
the non-employed job-finding probability (f). All variables are in logs.
37
Third, women, those without a college degree, and young workers saw particularly large declines.
We proceed to analyze three prominent potential explanations for the decline. We find little
support for the hypothesis that allocative EE mobility is lower today because workers are better
matched with their existing jobs. Furthermore, the decline does not appear to be the result of the
labor market being less efficient at matching workers and firms. Instead, we provide evidence
based on long-run variation across U.S. states that is consistent with the view that greater labor
market concentration reduced workers’ ability to transition toward higher paying employers.
Future work should further investigate the causes of the decline of the U.S. job ladder and in
particular its relationship with competition in the labor market, as well as whether policy can play
a role in fostering a more dynamic, inclusive labor market.
38
References
Abowd, John M., and Arnold Zellner. 1985. “Estimating Gross Labor-Force Flows.” Journal of Business and
Economic Statistics, 3: 254–283.
Autor, David H., and David Dorn. 2013. “The Growth of Low-Skill Service Jobs and the Polarization of the
US Labor Market.” American Economic Review, 103(5): 1553–97.
Azar, Jos´e, Ioana Marinescu, and Marshall Steinbaum. 2022. “Labor market concentration.” Journal of
Human Resources, 57(S): S167–S199.
Azar, Jos´e, Ioana Marinescu, Marshall Steinbaum, and Bledi Taska. 2020. “Concentration in US labor
markets: Evidence from online vacancy data.” Labour Economics, 66: 101886.
Bagga, Sadhika. 2023. “Firm Market Power, Worker Mobility, and Wages in the US Labor Market.” Journal
of Labor Economics, 41: 205–256.
Balke, Neele, and Thibaut Lamadon. 2022. “Productivity Shocks, Long-Term Contracts, and Earnings Dy-
namics.” American Economic Review, 112(7): 2139–77.
Benmelech, Efraim, Nittai K. Bergman, and Hyunseob Kim. 2022. “Strong Employers and Weak Employ-
ees: How Does Employer Concentration Affect Wages?” Journal of Human Resources, 57: S200–S250.
Berger, David, Kyle Herkenhoff, and Simon Mongey. 2022. “Labor Market Power.” American Economic
Review, 112(4): 1147–93.
Berger, David W, Kyle F Herkenhoff, Andreas R Kostøl, and Simon Mongey. 2023. “An Anatomy of
Monopsony: Search Frictions, Amenities and Bargaining in Concentrated Markets.” National Bureau of
Economic Research Working Paper 31149.
Bilal, Adrien, Niklas Engbom, Simon Mongey, and Giovanni L Violante. 2022. “Firm and Worker Dy-
namics in a Frictional Labor Market.” Econometrica, 90: 1425–1462.
Birinci, Serdar, Fatih Karahan, Yusuf Mercan, and Kurt See. 2022. “Labor market shocks and monetary
policy.” Federal Reserve Bank of St. Louis Working Paper 2022-16.
Birinci, Serdar, Kurt See, and Shu Lin Wee. 2023. “Job Applications and Labor Market Flows.”
Blanchard, Olivier Jean, and Peter Diamond. 1990. “The Cyclical Behavior of the Gross Flows of U.S.
Workers.” Brookings Papers on Economic Activity, 1990: 85–155.
Bosler, Canyon, and Nicolas Petrosky-Nadeau. 2016. “Job-to-job transitions in an evolving labor market.”
FRBSF Economic Letter, 34.
Burdett, Kenneth, and Dale T Mortensen. 1998. “Wage differentials, employer size, and unemployment.”
International Economic Review, 257–273.
Caldwell, Sydnee, and Oren Danieli. 2024. “Outside Options in the Labour Market.” The Review of Eco-
nomic Studies, rdae006.
Caratelli, Daniele. 2022. “Labor Market Recoveries Across the Wealth Distribution.” Working Paper.
39
Clark, Kim B, and Lawrence H Summers. 1979. “Labor Market Dynamics and Unemployment: A Recon-
sideration.” Brookings Papers on Economic Activity, 1979(1): 13–72.
Davis, Steven J, and John Haltiwanger. 2014. “Labor Market Fluidity and Economic Performance.” Na-
tional Bureau of Economic Research Working Paper 20479.
Decker, Ryan A, John Haltiwanger, Ron S. Jarmin, and Javier Miranda. 2016. “Declining Business Dy-
namism: What We Know and the Way Forward.” American Economic Review, 106(5): 203–07.
Diamond, Peter A, and Ay¸seg ¨ul S¸ ahin. 2016. “Disaggregating the Matching Function.” Working Paper.
Elsby, Michael W L, and Axel Gottfries. 2022. “Firm Dynamics, On-the-Job Search, and Labor Market
Fluctuations.” Review of Economic Studies, 89: 1379–1419.
Faberman, Jason R, Andreas I Mueller, Ay¸seg ¨ul S¸ ahin, and Giorgio Topa. 2022. “Job Search Behavior
Among the Employed and Non-employed.” Econometrica, 90: 1743–1779.
Fallick, Bruce, and Charles A Fleischman. 2004. “Employer-to-employer flows in the US labor market:
The complete picture of gross worker flows.” Federal Reserve Board Finance and Economics Discussion Series
2004-34.
Fujita, Shigeru, and Giuseppe Moscarini. 2017. “Recall and Unemployment.” American Economic Review,
107(12): 3875–3916.
Fujita, Shigeru, Giuseppe Moscarini, and Fabien Postel-Vinay. Forthcoming. “Measuring employer-to-
employer reallocation.” American Economic Journal: Macroeconomics.
Goldin, Claudia. 2014. “A grand gender convergence: Its last chapter.” American economic review,
104(4): 1091–1119.
Gottfries, Axel, and Gregor Jarosch. 2023. “Dynamic Monopsony with Large Firms and Noncompetes.”
Working Paper.
Hall, Robert E, and Andreas I Mueller. 2018. “Wage dispersion and search behavior: The importance of
nonwage job values.” Journal of Political Economy, 126(4): 1594–1637.
Hall, Robert E, and Marianna Kudlyak. 2022. “The unemployed with jobs and without jobs.” Labour Eco-
nomics, 79: 102244.
Haltiwanger, John C, Henry R Hyatt, Lisa B Kahn, and Erika McEntarfer. 2018. “Cyclical job ladders by
firm size and firm wage.” American Economic Journal: Macroeconomics, 10(2): 52–85.
Haltiwanger, John, Henry Hyatt, and Erika McEntarfer. 2018. “Who moves up the job ladder?” Journal of
Labor Economics, 36(S1): S301–S336.
Handwerker, Elizabeth Weber, and Matthew Dey. 2022. “Some Facts about Concentrated Labor Markets
in the United States.” Bureau of Labor Statistics Working Paper 550.
Heckman, James J, Lance Lochner, and Christopher Taber. 1998. “Explaining rising wage inequality: Ex-
plorations with a dynamic general equilibrium model of labor earnings with heterogeneous agents.”
Review of economic dynamics, 1(1): 1–58.
40
Hyatt, Henry, and James Spletzer. 2016. “The Shifting Job Tenure Distribution.” Labour Economics , 41: 363–
377.
Hyatt, Henry, and James Spletzer. 2017. “The Recent Decline of Single Quarter Jobs.” Labour Economics,
46: 166–176.
Hyatt, Henry R. 2015. “The decline in job-to-job flows.” IZA World of Labor.
Hyatt, Henry R, and James R Spletzer. 2013. “The recent decline in employment dynamics.” IZA Journal of
Labor Economics, 2(1): 1–21.
Jarosch, Gregor, Jan Sebastian Nimczik, and Isaac Sorkin. 2024. “Granular Search, Market Structure, and
Wages.” The Review of Economic Studies, rdae004.
Jolivet, Gregory, Fabien Postel-Vinay, and Jean-Marc Robin. 2006. “The empirical content of the job search
model: Labor mobility and wage distributions in Europe and the US.” Contributions to Economic Analysis,
275: 269–308.
Karahan, Fatih, Ryan Michaels, Benjamin Pugsley, Ay¸seg ¨ul S¸ ahin, and Rachel Schuh. 2017. “Do Job-to-
Job Transitions Drive Wage Fluctuations Over the Business Cycle?” American Economic Review: Papers &
Proceedings, 107: 353–357.
Lagakos, David, Benjamin Moll, Tommaso Porzio, Nancy Qian, and Todd Schoellman. 2018. “Life Cycle
Wage Growth across Countries.” Journal of Political Economy, 126(2): 797–849.
Lentz, Rasmus, and Dale T. Mortensen. 2012. “Labor Market Friction, Firm Heterogeneity, and Aggregate
Employment and Productivity.” Working paper.
Macaluso, Claudia, Brad Hershbein, and Chen Yeh. 2019. “Concentration in U.S. local labor markets:
evidence from vacancy and employment data.” Society for Economic Dynamics 2019 Meeting Papers
1336.
Mercan, Yusuf. 2017. “Fewer but Better: The Decline in Job Mobility and the Information Channel.” Uni-
versity of Melbourne Mimeo.
Molloy, Raven, Christopher L Smith, and Abigail Wozniak. 2024. “Changing Stability in U.S. Employment
Relationships: A Tale of Two Tails.” Journal of Human Resources, 59: 35–69.
Molloy, Raven, Christopher L Smith, Riccardo Trezzi, and Abigail Wozniak. 2016. “Understanding De-
clining Fluidity in the U.S. Labor Market.” Brookings Papers on Economic Activity, 46(1): 183–237.
Moscarini, Giuseppe, and Fabien Postel-Vinay. 2017. “The relative power of employment-to-employment
reallocation and unemployment exits in predicting wage growth.” American Economic Review, 107(5): 364–
68.
Ozkan, Serdar, Jae Song, and Fatih Karahan. 2023. “Anatomy of Lifetime Earnings Inequality: Heterogene-
ity in Job-Ladder Risk versus Human Capital.” Journal of Political Economy Macroeconomics, 1(3): 506–550.
Postel-Vinay, Fabien, and Jean-Marc Robin. 2002. “Equilibrium wage dispersion with worker and em-
ployer heterogeneity.” Econometrica, 70(6): 2295–2350.
41
Prager, Elena, and Matt Schmitt. 2021. “Employer Consolidation and Wages: Evidence from Hospitals.”
American Economic Review, 111(2): 397–427.
Pries, Michael, and Richard Rogerson. 2022. “Declining Worker Turnover: The Role of Short-Duration
Employment Spells.” American Economic Journal: Macroeconomics, 14(1): 260–300.
Rinz, Kevin. 2022. “Labor Market Concentration, Earnings, and Inequality.” Journal of Human Resources,
57(S): S251–S283.
Shimer, Robert. 2005. “The Cyclicality of Hires, Separations and Job-to-Job Transitions.” Federal Reserve
Bank of St. Louis Review, 87(4): 493–507.
Shimer, Robert. 2012. “Reassessing the ins and outs of unemployment.” Review of Economic Dynamics,
15(2): 127–148.
Sorkin, Isaac. 2018. “Ranking firms using revealed preference.” Quarterly Journal of Economics, 133(3): 1331–
1393.
Tanaka, Satoshi, Lawrence Warren, and David Wiczer. 2023. “Earnings growth, job flows and churn.”
Journal of Monetary Economics, 135: 86–98.
Tjaden, Volker, and Felix Wellschmied. 2014. “Quantifying the Contribution of Search to Wage Inequality.”
American Economic Journal: Macroeconomics, 6: 134–161.
Topel, Robert H, and Michael P Ward. 1992. “Job mobility and the careers of young men.” Quarterly Journal
of Economics, 107(2): 439–479.
42
8 Appendix
8.1 Worker flows, job flows and churn
While our finding of a decline in EE mobility mirrors the well-known decline in job reallocation
over this period (Davis and Haltiwanger, 2014; Decker et al., 2016), we stress that it does not follow
mechanically from the latter. To see why, note that the overall worker reallocation rate—the sum
of hires and separations divided by employment—can be written as the sum of job reallocation and
worker churn—worker flows over and above what is necessary to reallocate jobs
WR
t
|{z}
worker reallocation
= 2 × EE
t
| {z }
poaching flows
+ δ
t
|{z}
separations to non-employment
+ λ
n
t
1 e
t
e
t
| {z }
hires from non-employment
(20)
= JR
t
|{z}
job creation + job destruction
+ Churn
t
| {z }
replacement hiring
(21)
Worker reallocation is at least as large as job reallocation, since whenever a job is reallocated across
firms, a worker necessarily switches employer. It may be higher because a job would remain with
the firm whenever it hires a new worker to replace someone who left.
Figure 22 decomposes overall worker reallocation following (20)–(21) (using the baseline model).
During the 1980s, EE mobility toward higher paying jobs constituted roughly a quarter of overall
worker flows. Flows in and out of unemployment accounted for about 30 percent of overall flows,
with the remainder of worker reallocation taking place through non-participation. Because we do
not adjust for recalls, which are a significant share of flows into and out of non-employment (Fujita
and Moscarini, 2017; Hall and Kudlyak, 2022), this likely understates the role of EE mobility for
overall worker reallocation. Moreover, a nontrivial share of workers make EE transitions toward
lower paying jobs (Tjaden and Wellschmied, 2014; Sorkin, 2018). Accounting for these would
boost the importance of EE transitions, but lower the share of EE transitions toward higher paying
jobs. Finally, the CPS is known to suffer from labor force status classification error, which inflates
gross flows between employment and non-employment (Abowd and Zellner, 1985). Accounting
for this would increase the relative importance of EE transitions. Disregarding these measurement
issues, we find that worker reallocation is four times as large as job reallocation.
22
Poaching flows declined substantially as a share of total worker flows over the past 45 years,
reaching an all time low of about 15 percent today (panel a). Flows in and out of unemployment
also fell, while flows in and out of non-participation are at about the same level today as they were
in 1980. Combining these trends, the overall worker reallocation rate fell from over 12 percent of
employment per month in the 1980s to nine percent today, with poaching flows responsible for
22
The BDS reports in year t the job reallocation between March in year t 1 and March in year t. We divide this by 12
to get a proxy for the job reallocation rate in September in year t 1, and linearly interpolate for the months in between
September in year t 1 and year t.
43
almost half of this decline. Although some of the fall in worker reallocation is accounted for by the
well-documented decline in job reallocation (Davis and Haltiwanger, 2014), most of the decline is
accounted for by decreasing worker churn (panel b).
1980 1985 1990 1995 2000 2005 2010 2015 2020
0
2
4
6
8
10
12
14
16
Monthly probability (%)
Overall
Poaching flows
Unemployment
NILF
(a) Worker relocation decomposition in poaching and non-employment flows as stated in equation (20).
1980 1985 1990 1995 2000 2005 2010 2015 2020
0
2
4
6
8
10
12
14
16
Monthly probability (%)
Worker reallocation
Job reallocation
Worker churn
(b) Worker reallocation decomposed in job reallocation and churn following equation (21).
Figure 22: Overall worker reallocation decomposed following (20)–(21). Monthly job reallocation
here is the annual rate divided by 12 (available from the Census Bureau’s Business Dynamics Statis-
tics until 2021).
8.2 Details on shift-share methodology
Suppose we have N individuals, indexed by i, for whom we know the age, a N
+
, employment
status, e 0, 1 (where 0 is nonemployment, and 1 is employment), the education level c 0, 1
(where 0 is no college, and 1 is college or more), and whether they switched jobs from the previous
44
period, j 0, 1. The overall EE mobility rate can be written as
EE
t
=
i
j(i) ·e(i)
i
e(i)
The EE mobility probability for those in age group a, education group c is is
EE
a,c
t
=
i
j(i) ·e(i) ·1
[
a(i) = a
]
·1
[
c(i) = c
]
i
e(i) ·1
[
a(i) = a
]
·1
[
c(i) = c
]
How do we decompose the overall EE mobility probability in the age by education EE probabili-
ties? We can re-write the overall EE probability as
EE
t
=
i
j(i) ·e(i)
i
e(i)
=
(a,c)
i
j(i) ·e(i) ·1
[
a(i) = a
]
·1
[
c(i) = c
]
i
e(i)
=
(a,c)
(
1
i
e(i)
·
i
j(i) ·e(i) ·1
[
a(i) = a
]
·1
[
c(i) = c
]
!)
=
(a,c)
i
e(i) ·1
[
a(i) = a
]
·1
[
c(i) = c
]
i
e(i)
·
i
j(i) ·e(i) ·1
[
a(i) = a
]
·1
[
c(i) = c
]
i
e(i) ·1
[
a(i) = a
]
·1
[
c(i) = c
]
=
(a,c)
i
e(i) ·1
[
a(i) = a
]
·1
[
c(i) = c
]
i
e(i)
· EE
a,c
t
Denote the term
i
e(i)·1
[
a(i)=a
]
·1
[
c(i)=c
]
i
e(i)
as w
a,c
, the share of of the employed workers of age a and
education e relative to all employed workers. Then
EE
t
=
(a,c)
w
a,c
· EE
a,c
t
We construct the counterfactual EE probability in which workers shares by age × education are
fixed to 1980. This captures the effect that the change in the (joint) age/education distribution
over the past 40 years had on mobility. We do so keeping fixed to 1980 the weights w
a,c
c
EE
t
=
(a,c)
w
1980
a,c
· EE
a,c
t
8.3 Wage growth by subpopulations
Figure 23 plots wage growth associated with EE mobility by demographic subgroups.
45
(a) Gender
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.2
0.4
0.6
0.8
1.0
Monthly growth (log points)
Female
Male
(b) Race
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Monthly growth (log points)
Black
White
(c) Education
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Monthly growth (log points)
Less than college
College or more
(d) Age
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.2
0.4
0.6
0.8
1.0
Monthly growth (log points)
20-29
30-39
40-49
50-59
Figure 23: Wage growth associated with EE mobility by subpopulations. All mobility is to higher-
paying jobs.
8.4 EE mobility and associated wage growth by occupation
Figure 24 shows that the decline in allocative EE mobility is visible across occupation groups,
23
but there is significant heterogeneity. We find that workers in relatively well-paid managerial, pro-
fessional and technical services have experienced a relatively small decline in EE mobility toward
higher paying jobs. However, workers in low-skill services, a category including restaurant work-
ers, security guards, janitors, cleaners, child care workers and beauticians, have seen a particularly
pronounced slowdown in their upward mobility.
8.5 Time, age and cohort effects
This section studies further the role of cohort effects in accounting for the fall in EE mobility.
Figure 25 plots the age profile of allocative EE mobility for the the 1955-59, 1965-69, 1975-79 and
1980-84 cohorts. Recent cohorts display an overall lower EE transition probability toward higher
paying jobs at all ages.
23
We define these groups following Autor and Dorn (2013) using the consistent occ2010 classification provided by
IPUMS.
46
(a) EE mobility rate.
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.5
1.0
1.5
2.0
2.5
Monthly probability (%)
Mgmt, Prof, Tech
Admin. Services and Retail
Low-Skill Services
Precision Prod.
Operators
Labourers
(b) Average wage growth due to EE mobility.
1980 1985 1990 1995 2000 2005 2010 2015 2020
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Monthly growth (log points)
Mgmt, Prof, Tech
Admin. Services and Retail
Low-Skill Services
Precision Prod.
Operators
Labourers
Figure 24: EE transition probability and associated wage growth by occupation. All mobility is to
higher-paying jobs.
20 30 40 50 60
Age
0.0
0.5
1.0
1.5
2.0
2.5
Monthly probability (%)
1955-1959 cohort
1965-1969 cohort
1975-1979 cohort
1980-1984 cohort
Figure 25: Age profile of EE transition probability estimated in the model for the 1955–1959 co-
hort (solid), the 1965–1969 cohort (dashed), 1975–1979 cohort (dash-dotted), and 1980–1984 cohort
(dotted). All mobility is to higher-paying jobs.
To quantify the contributions of time, age and cohort effects toward the overall decline, we
build on a literature doing the same for wages (Heckman, Lochner and Taber, 1998; Lagakos et al.,
2018). Specifically, we project the allocative EE transition probability at time t for age group a of
cohort c on time fixed effects (ϕ
t
), age fixed effects (ψ
a
) and cohort fixed effects (ξ
c
)
24
EE
t,a,c
= ϕ
t
+ ψ
a
+ ξ
c
+ ε
t,a,c
(22)
As is well-known, without a restriction, equation (22) cannot be identified due to perfect collinear-
24
While we estimate (22) in levels, substantively similar results hold if we alternatively estimate it in logs.
47
ity between time, age and cohort effects. Motivated by the theoretical prediction that mobility
should settle at some age, we impose the restriction that mobility does not change between ages
50 and 59. This assumption is sufficient to separate changes in the effect of time, age and cohort.
Figure 26 decomposes the overall decline in allocative EE mobility into the role of time, age and
cohort effects. Because older workers are less mobile and the U.S. workforce aged substantially
over this period, the age effects account for some of the aggregate decline. Time effects are behind
most of the initial increase as well as some of the decline in the late 1990s and early 2000s. Since
2005, however, they contributed to an increase in allocative EE mobility, ceteris paribus. Hence, most
of the secular decline in the aggregate EE transition probability is accounted for by the fact that
new cohorts are less dynamic than their older peers.
1980 1985 1990 1995 2000 2005 2010 2015
0.8
0.6
0.4
0.2
0.0
0.2
Change since 1979 (p.p.)
Overall
Cohort
Time
Age
Figure 26: Change in EE transition probability overall (solid) and broken down in its time
(dashed), age (dash-dotted), and cohort (dotted) components.
8.6 Average wage gain upon an EE move
Figure 27 shows the wage gain conditional on making an EE transition according to both the model
and the SIPP data.
25
The latter is for workers moving to higher paying jobs. Both the structural
estimate and the raw SIPP measure indicate substantial wage growth associated with EE mobility
toward higher paying jobs. According to both, the average wage gain conditional on moving to a
higher paying job increased over time. We interpret the fact that returns to mobility rose to suggest
that the decline in mobility is not the result of workers being better matched in their current jobs.
26
25
As we noted above, we use median instead of means in the SIPP in order to limit the impact of a few outliers. Using
the average instead results in a similar increase over time, but a higher level of wage growth.
26
This interpretation depends on the underlying offer distribution. If the offer distribution is Pareto, the conditional
wage gain upon an EE transition is independent of the wage distribution, and hence completely uninformative about
the extent of mismatch.
48
1980 1985 1990 1995 2000 2005 2010 2015 2020
20
25
30
35
40
45
50
Monthly growth (log points)
Model
SIPP
Figure 27: Wage growth conditional on switching to a higher-paying employer in model (black)
and in the SIPP (blue).
49
8.7 Additional Results for Labor Market Concentration
We present below alternative cross-state estimates based on identical specifications as above, but
with both the dependent and independent variables in levels instead of logs.
(1) (2) (3) (4) (5)
EE
w
Acceptance
Probability
λ
e
λ
n
A. Raw labor market concentration
Firms per
worker
0.250*** 0.130*** 0.418 0.501*** 0.026
(0.060) (0.028) (2.598) (0.154) (0.128)
Emp. Share of
Large Firms
( 1000 emp.)
-0.028*** -0.017*** -0.408 -0.047*** -0.055
(0.012) (0.007) (0.349) (0.027) (0.034)
Emp. Share of
Small Firms
(< 100 emp.)
0.040*** 0.023*** -0.906 0.074*** 0.047
(0.010) (0.005) (1.027) (0.025) (0.030)
B. Residual labor market concentration
Firms per
worker
0.272*** 0.135*** 4.287 0.586*** -0.139
(0.074) (0.036) (6.527) (0.182) (0.124)
Emp. Share of
Large Firms
( 1000 emp.)
-0.028*** -0.018*** -1.074 -0.044*** -0.049
(0.015) (0.008) (0.779) (0.034) (0.041)
Emp. Share of
Small Firms
(< 100 emp.)
0.046*** 0.027*** -0.836 0.082*** 0.038
(0.013) (0.006) (0.969) (0.031) (0.036)
N 405 405 405 405 405
Table 3: OLS estimates of equation (19) using data from 51 U.S. States and Washington DC and
eight five-year time periods between 1980–2019. All variables are in levels and all specifications
include state and period fixed effects. Large firms are defined as firms with 1000 employees or
more, and small firms are defined as those with fewer than 100 employees. Robust standard
errors in parentheses, clustered at the state level. * p < 0.1, ** p < 0.05, *** p < 0.01.
50
(a) Employment Share in large firms.
1980 1985 1990 1995 2000 2005 2010 2015
5
0
5
10
15
20
Change since 1980s (log points)
(b) EE transition probability.
1980 1985 1990 1995 2000 2005 2010 2015
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(c) Annual wage growth associated with EE mobility.
1980 1990 2000 2010 2020
0.6
0.5
0.4
0.3
0.2
0.1
0.0
0.1
0.2
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(d) Employed acceptance probability.
1980 1985 1990 1995 2000 2005 2010 2015
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(e) Employed job finding probability λ
e
.
1980 1985 1990 1995 2000 2005 2010 2015
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(f) Non-employed job finding probability λ
n
.
1980 1985 1990 1995 2000 2005 2010 2015
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
Figure 28: Panel (a) shows the change in market concentration as measured by the share of large
firms (those with at least 1000 employees). The remaining panels show the actual (black) and
predicted (blue) labor market variables where the prediction is the cross-sectional point estimate
from regression (19) multiplied by the national change in concentration. Displayed in order are
EE transition probability (b), the associated average wage change (c), the acceptance probability
(d), the employed job-finding probability (e), and the non-employed job-finding probability (f).
All variables are in logs.
51
(a) Employment Share in small firms.
1980 1985 1990 1995 2000 2005 2010 2015
30
25
20
15
10
5
0
5
Change since 1980s (log points)
(b) EE transition probability.
1980 1985 1990 1995 2000 2005 2010 2015
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(c) Annual wage growth associated with EE mobility.
1980 1990 2000 2010 2020
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0.0
0.1
0.2
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(d) Employed acceptance probability.
1980 1985 1990 1995 2000 2005 2010 2015
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(e) Employed job finding probability λ
e
.
1980 1985 1990 1995 2000 2005 2010 2015
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
(f) Non-employed job finding probability λ
n
.
1980 1985 1990 1995 2000 2005 2010 2015
100
80
60
40
20
0
20
Change since 1980s (log points)
Actual
Predicted
Predicted (resid.)
Figure 29: Panel (a) shows the change in market concentration as measured by the employment
share of small firms (with fewer than 99 employees). The remaining panels show the actual (black)
and predicted (blue) labor market variables where the prediction is the cross-sectional point esti-
mate from regression (19) multiplied by the national change in concentration. Displayed in order
are EE transition probability (b), the associated average wage change (c), the acceptance proba-
bility (d), the employed job-finding probability (e), and the non-employed job-finding probability
(f). All variables are in logs.
52