We assess the welfare consequences of occupational licensing for workers and consumers. We estimate a model of labor market equilibrium in which licensing restricts labor supply but also affects labor demand via worker quality and selection. On the margin of occupations licensed differently between U.S. states, we find that licensing raises wages and hours but reduces employment. We estimate an average welfare loss of 12 percent of occupational surplus. Workers and consumers respectively bear 70 and 30 percent of the incidence. Higher willingness to pay offsets 80 percent of higher prices for consumers, and higher wages compensate workers for 60 percent of the cost of mandated investment in occupation-specific human capital.

This paper studies optimal taxation of earnings when the degree of tax progressivity is allowed to vary with age. The setting is an overlapping-generations model that incorporates irreversible skill investment, flexible labor supply, ex-ante heterogeneity in the disutility of work and the cost of skill acquisition, partially insurable wage risk, and a life cycle productivity profile. An analytically tractable version of the model without intertemporal trade is used to characterize and quantify the salient trade-offs in tax design. The key results are that progressivity should be U-shaped in age and that the average marginal tax rate should be increasing and concave in age. These findings are confirmed in a version of the model with borrowing and saving that we solve numerically.

What shapes the optimal degree of progressivity of the tax and transfer system? On the one hand, a progressive tax system can counteract inequality in initial conditions and substitute for imperfect private insurance against idiosyncratic earnings risk. On the other hand, progressivity reduces incentives to work and to invest in skills, distortions that are especially costly when the government must finance public goods. We develop a tractable equilibrium model that features all of these trade-offs. The analytical expressions we derive for social welfare deliver a transparent understanding of how preference, technology, and market structure parameters influence the optimal degree of progressivity. A calibration for the U.S. economy indicates that endogenous skill investment, flexible labor supply, and the desire to finance government purchases play quantitatively similar roles in limiting optimal progressivity. In a version of the model where poverty constrains skill investment, optimal progressivity is close to the U.S. value. An empirical analysis on cross-country data offers support to the theory.

We analyze the secular decline in interstate migration in the United States between 1991 and 2011. Gross flows of people across states are about 10 times larger than net flows, yet have declined by around 50 percent over the past 20 years. We argue that the fall in migration is due to a decline in the geographic specificity of returns to occupations, together with an increase in workers’ ability to learn about other locations before moving there, through information technology and inexpensive travel. These explanations find support in micro data on the distribution of earnings and occupations across space and on rates of repeat migration. Other explanations, including compositional changes, regional changes, and the rise in real incomes, do not fit the data. We develop a model to formalize the geographic-specificity and information mechanisms and show that a calibrated version is consistent with cross-sectional and time-series patterns of migration, occupations, and incomes. Our mechanisms can explain at least one-third and possibly all of the decline in gross migration since 1991.

What determines the earnings of a worker relative to his peers in the same occupation? What makes a worker fail in one occupation but succeed in another? More broadly, what are the factors that determine the productivity of a worker-occupation match? In this paper, we propose an empirical measure of skill mismatch for a worker-occupation match, which sheds light on these questions. This measure is based on the discrepancy between the portfolio of skills required by an occupation and the portfolio of abilities possessed by a worker for learning those skills. This measure arises naturally in a dynamic model of occupational choice and human capital accumulation with multidimensional skills and Bayesian learning about one’s ability to learn these skills. In this model, mismatch is central to the career outcomes of workers: it reduces the returns to occupational tenure, and it predicts occupational switching behavior. We construct our empirical analog by combining data from the National Longitudinal Survey of Youth 1979 (NLSY79), the Armed Services Vocational Aptitude Battery (ASVAB) on workers, and the O*NET on occupations. Our empirical results show that the effects of mismatch on wages are large and persistent: mismatch in occupations held early in life has a strong negative effect on wages in future occupations. Skill mismatch also significantly increases the probability of an occupational switch and predicts its direction in the skill space. These results provide fresh evidence on the importance of skill mismatch for the job search process.

This appendix contains eight sections. Section 1 gives technical details of how we calculate standard errors in the CPS data. Section 2 discusses changes in the ACS procedures before 2005. Section 3 examines demographic and economic patterns in migration over the past two decades, in more detail than in the main paper. Section 4 examines the cross-sectional variance of location-occupation interactions in earnings when we define locations by MSAs instead of states. Section 5 describes alternative methods to estimate the variance of location-occupation interactions in income. Section 6 measures the segregation of industries across states and of occupations and industries across MSAs. Section 7 gives technical details on the use of SIPP and census data to calculate repeat and return migration rates. Section 8 discusses transition dynamics in the model.

We study the evolution of individual labor earnings over the life cycle using a large panel data set of earnings histories drawn from U.S. administrative records. Using fully nonparametric methods, our analysis reaches two broad conclusions. First, earnings shocks display substantial deviations from lognormality–the standard assumption in the incomplete markets literature. In particular, earnings shocks display strong negative skewness and extremely high kurtosis–as high as 30 compared with 3 for a Gaussian distribution. The high kurtosis implies that in a given year, most individuals experience very small earnings shocks, and a small but non-negligible number experience very large shocks. Second, these statistical properties vary significantly both over the life cycle and with the earnings level of individuals. We also estimate impulse response functions of earnings shocks and find important asymmetries: positive shocks to high-income individuals are quite transitory, whereas negative shocks are very persistent; the opposite is true for low-income individuals. Finally, we use these rich sets of moments to estimate econometric processes with increasing generality to capture these salient features of earnings dynamics.

In order to analyze careers both within and across firms, this paper proposes a matching model of the labor market that extends existing models of job assignment and learning about workers’ abilities. The model accounts for worker mobility across jobs and firms, for varying degrees of generality of ability, and for the possibility that firms affect the information they acquire about workers through job assignment. I characterize equilibrium assignment and wages, and show how, depending on how abilities and jobs are distributed across firms, equilibrium gives rise to widely varying patterns of job mobility within firms and turnover across firms, even if matching would be perfectly assortative in the absence of uncertainty. The implied job and wage dynamics display features that are consistent with a broad set of empirical findings on careers in firms and the labor market. In particular, workers can experience gradual promotions and wage increases following successful performance but few or no demotions when employed by the same firm. The model also produces turnover across firms and occupations after both successful and unsuccessful experiences, leading to wage increases or decreases following a firm or occupation change. Overall, the results in this paper provide a unified framework in which to interpret the dynamics of jobs and wages in firms and the labor market.

This paper develops and structurally estimates a labor market model that integrates job assignment, learning, and human capital acquisition to account for the main patterns of careers in firms. A key innovation is that the model incorporates workers’ job mobility within and between firms, and the possibility that, through job assignment, firms affect the rate at which they acquire information about workers. The model is estimated using longitudinal administrative data on managers from one U.S. firm in a service industry (the data of Baker, Gibbs, and Holmström (1994a,b)) and fits the data remarkably well. The estimated model is used to assess both the direct effect of learning on wages and its indirect effect through its impact on the dynamics of job assignment. Consistent with the evidence in the literature on comparative advantage and learning, the estimated direct effect of learning on wages is found to be small. Unlike in previous work, by jointly estimating the dynamics of beliefs, jobs, and wages imposing all of the model restrictions, the impact of learning on job assignment can be uncovered and the indirect effect of learning on wages explicitly assessed. The key finding of the paper is that the indirect effect of learning on wages is substantial: overall learning accounts for one quarter of the cumulative wage growth on the job during the first seven years of tenure. Nearly all of the remaining growth is from human capital acquisition. A related novel finding is that the experimentation component of learning is a primary determinant of the timing of promotions and wage increases. Along with persistent uncertainty about ability, experimentation is responsible for substantially compressing wage growth at low tenures.

In this appendix I present details of the model and the empirical analysis, and results of counterfactual experiments omitted from the paper. In Section 1 I describe a simple example that illustrates how, even in the absence of human capital acquisition, productivity shocks, or separation shocks, the learning component of the model can naturally generate mobility between jobs within a firm and turnover between firms. I also include the proofs of Propositions 1 and 2 in the paper. In Section 2 I discuss model identification in detail, where, in particular, I prove that information in my data on the performance ratings of managers allows me to identify the learning process separately from the human capital process. In Section 3 I describe the original U.S. firm dataset of Baker, Gibbs, and Holmström (1994a,b), on which my work is based. In Section 4 I provide details about the estimation of the model, including the derivation of the likelihood function, a description of the numerical solution of the model, and a discussion of the results from a Monte Carlo exercise showing the identifiability of the model’s parameters in practice. There I also derive bounds on the informativeness of the jobs of the competitors of the firm in my data, based on the estimates of the parameters reported in the paper. Finally, in Section 5 I present estimation results based on a larger sample that includes entrants into the firm at levels higher than Level 1. Results of counterfactual experiments omitted from the paper are contained in Tables A.12–A.14.

We provide theory for calculating bounds on both the value of an individual’s human capital and the return on an individual’s human capital, given knowledge of the process governing earnings and financial asset returns. We calculate bounds using U.S. data on male earnings and financial asset returns. The large idiosyncratic component of earnings risk implies that bounds on values and returns are quite loose. However, when aggregate shocks are the only source of earnings risk, both bounds are tight.

In this paper, we construct a parsimonious overlapping-generations model of human capital accumulation and study its quantitative implications for the evolution of the U.S. wage distribution from 1970 to 2000. A key feature of the model is that individuals differ in their ability to accumulate human capital, which is the main source of wage inequality in this model. We examine the response of this model to skill-biased technical change (SBTC), which is modeled as an increase in the trend growth rate of the price of human capital starting in the early 1970s. The model displays behavior that is consistent with several important trends observed in the US data, including the rise in overall wage inequality; the fall and subsequent rise in the college premium, as well as the fact that this behavior was most pronounced for younger workers; the rise in within-group inequality; the stagnation in median wage growth; and the small rise in consumption inequality despite the large rise in wage inequality. We consider different scenarios regarding how individuals’ expectations evolve during SBTC. Specifically, we study the case where individuals immediately realize the advent of SBTC (perfect foresight), and the case where they initially underestimate the future growth of the price of human capital (pessimistic priors), but learn the truth in a Bayesian fashion over time. Lack of perfect foresight appears to have little effect on the main results of the paper. Overall, the model shows promise for explaining a diverse set of wage distribution trends observed since the 1970s in a unifying human capital framework.

Wage inequality between education groups in the United States has increased substantially since the early 1980s. The relative number of college-educated workers has also increased dramatically in the postwar period. This paper presents a unified framework where the dynamics of both skill accumulation and wage inequality arise as an equilibrium outcome driven by measured investment-specific technological change. Working through equipment-skill complementarity and endogenous skill accumulation, the model does well in capturing the steady growth in the relative quantity of skilled labor during the postwar period and the substantial rise in wage inequality after the early 1980s. Based on the calibrated model, we examine the quantitative effects of some hypothetical tax-policy reforms on skill accumulation, wage inequality, and welfare.

We study the effect of culture on important economic outcomes by using the 1970 census to examine the work and fertility behavior of women born in the U.S. but whose parents were born elsewhere. We use past female labor force participation and total fertility rates from the country of ancestry as our cultural proxies. These variables should capture, in addition to past economic and institutional conditions, the beliefs commonly held about the role of women in society (i.e., culture). Given the different time and place, only the beliefs embodied in the cultural proxies should be potentially relevant. We show that these cultural proxies have positive and significant explanatory power for individual work and fertility outcomes, even after controlling for possible indirect effects of culture. We examine alternative hypotheses for these positive correlations and show that neither unobserved human capital nor networks are likely to be responsible.

We develop a positive theory of the adoption of child labor laws. Workers who compete with children in the labor market support the introduction of a child labor ban, unless their own working children provide a large fraction of family income. Since child labor income depends on family size, fertility decisions lock agents into specific political preferences, and multiple steady states can arise. The introduction of child labor laws can be triggered by skill-biased technological change that induces parents to choose smaller families. The model replicates features of the history of the U.K. in the nineteenth century, when regulations were introduced after a period of rising wage inequality, and coincided with rapidly declining fertility rates.

Great Lakes iron ore producers had faced no competition from foreign iron ore in the Great Lakes steel market for nearly a century as the 1970s closed. In the early 1980s, as a result of unprecedented developments in the world steel market, Brazilian producers were offering to deliver iron ore to Chicago (the heart of the Great Lakes market) at prices substantially below local iron ore prices. The U.S. and Canadian iron ore industries faced a major crisis that cast doubt on their future. In response to the crisis, these industries dramatically increased productivity. Labor productivity doubled in a few years (whereas it had changed little in the preceding decade). Materials productivity increased by more than half. Capital productivity increased as well. I show that most of the productivity gains were due to changes in work practices. Work practice changes reduced overstaffing and hence increased labor productivity. Changes in work practices, by increasing the fraction of time equipment was in operating mode, also significantly increased materials and capital productivity.

In high-tech industries, one important method of diffusion is through employee mobility: many of the entering firms are started by employees from incumbent firms using some of their former employers’ technological know-how. This paper explores the effect of incorporating this mechanism in a general industry framework by allowing employees to imitate their employers’ know-how. The equilibrium is Pareto optimal since the employees “pay” for the possibility of learning their employers’ know-how. The model’s implications are consistent with data from the rigid disk drive industry. These implications concern the effects of know-how on firm formation and survival.

In this paper we propose a general equilibrium model where heterogeneous agents specialize either in legitimate market activities or in criminal activities and majority rule determines the share of income redistributed and the expenditures devoted to the apprehension of criminals. We calibrate our model to the U.S. economy in 1990, and we conduct simulation exercises to evaluate the effectiveness of expenditures on police protection and income redistribution at reducing crime. We find that while expenditures on police protection reduce crime, it is possible for the crime rate to increase with redistribution. We also show that economies that adopt relatively more generous redistribution policies may have either higher or lower crime rates than economies with relatively less generous redistribution policies, depending on the characteristics of their wage distribution and on the efficiency of their apprehension technology.

This paper develops a model of vintage human capital in which each technology requires vintage specific skills. We examine the properties of a stationary equilibrium for our economy. The stationary equilibrium is characterized by an endogenous distribution of skilled workers across vintages. The distribution is shown to be single peaked and, under general conditions, there is a lag between the time when a technology appears and the peak of it's usage, a phenomenon known as diffusion. An increase in the rate of exogenous technological change shifts the distribution of human capital to more recent vintages thereby increasing the diffusion rate.

This paper develops a model of vintage human capital in which each technology requires vintage specific skills. We examine the properties of a stationary equilibrium for our economy. The stationary equilibrium is characterized by an endogenous distribution of skilled workers across vintages. The distribution is shown to be single peaked and, under general conditions, there is a lag between the time when a technology appears and the peak of it's usage, a phenomenon known as diffusion. An increase in the rate of exogenous technological change shifts the distribution of human capital to more recent vintages thereby increasing the diffusion rate.

We present a model of vintage human capital. The economy exhibits exogenous deterministic technological change. Technology requires skills that are specific to the vintage. A stationary competitive equilibrium is defined and shown to exist and be unique, as well as Pareto optimal. The stationary equilibrium is characterized by an endogenous distribution of skilled workers across vintages. The distribution is shown to be single peaked and there is diffusion of technology in the sense that there is a lag between the time when a technology appears and the peak of its usage. An increase in the rate of exogenous technological change shifts the distribution of human capital to more recent vintages and increases the relative wage of the unskilled workers in each vintage.

'Structural unemployment' is said to occur in regions or 'sectors' of the economy as a consequence of technological changes. In this paper we present a model which provides an environment which gives rise to unemployment which could be labelled structural unemployment. There is exogenous technological change and vintage specific human capital. Unemployment arises as workers specialized in a particular technology within a vintage decide to search for a job within their vintage, so that their previously acquired special skills are used, instead of getting employed as unskilled workers in the newest vintage. As the rate of technological change increases, the incentives to reassign specialized workers to their same vintage, inccuring therefore in search costs, becomes less attractive, and in consequence the fraction of specialized workers doing search activities decreases. This provides some rationale for the negative correlation between rates of growth and unemployment observed in the data.

We present a model of vintage human capital. The economy exhibits exogenous deterministic technological change. Technology requires skills that are specific to the vintage. A stationary competitive equilibrium is defined and shown to exist and be unique, as well as Pareto optimal. The stationary equilibrium is characterized by an endogenous distribution of skilled workers across vintages. The distribution is shown to be single peaked and there is diffusion of technology in the sense that there is a lag between the time when a technology appears and the peak of its usage. An increase in the rate of exogenous technological change shifts the distribution of human capital to more recent vintages and increases the relative wage of the unskilled workers in each vintage.

In this article we use the techniques developed in examining optimal contracting with imperfect information to build a simple equilibrium model of a labor market with imperfect information. We then use the model to examine the effects that imperfect information imposes on labor markets, particularly when compared with full information and noncontractual base lines. We demonstrate that quits increase in periods of high output, without postulating exogenous price rigidity.