Equilibrium Wage‐Tenure Contracts

In this study we consider a labor market matching model where firms post wage‐tenure contracts and workers, both employed and unemployed, search for new job opportunities. Given workers are risk averse, we establish there is a unique equilibrium in the environment considered. Although firms in the market make different offers in equilibrium, all post a wage‐tenure contract that implies a worker's wage increases smoothly with tenure at the firm. As firms make different offers, there is job turnover, as employed workers move jobs as the opportunity arises. This implies the increase in a worker's wage can be due to job‐to‐job movements as well as wage‐tenure effects. Further, there is a nondegenerate equilibrium distribution of initial wage offers that is differentiable on its support except for a mass point at the lowest initial wage. We also show that relevant characteristics of the equilibrium can be written as explicit functions of preferences and the other market parameters.     

Directed Search for Equilibrium Wage–Tenure Contracts

I construct a theoretical framework in which firms offer wage–tenure contracts to direct the search by risk‐averse workers. All workers can search, on or off the job. I characterize an equilibrium and prove its existence. The equilibrium generates a nondegenerate, continuous distribution of employed workers over the values of contracts, despite that all matches are identical and workers observe all offers. A striking property is that the equilibrium is block recursive; that is, individuals' optimal decisions and optimal contracts are independent of the distribution of workers. This property makes the equilibrium analysis tractable. Consistent with stylized facts, the equilibrium predicts that (i) wages increase with tenure, (ii) job‐to‐job transitions decrease with tenure and wages, and (iii) wage mobility is limited in the sense that the lower the worker's wage, the lower the future wage a worker will move to in the next job transition. Moreover, block recursivity implies that changes in the unemployment benefit and the minimum wage have no effect on an employed worker's job‐to‐job transitions and contracts.     

SEARCH INTENSITY,DIRECTED SEARCH,AND THE WAGE DISTRIBUTION

We propose a search equilibrium model in which homogeneous firms post wages along with a vacancy to attract job seekers while homogeneous unemployed workers invest in costly job seeking. The key innovation relies on the organization of the search market and the search behavior of the job seekers. The search market is continuously segmented by wage level, individuals can spread their search investment over the different submarkets, and search intensity has marginal decreasing returns in each submarket. We demonstrate the existence of a nondegenerate equilibrium wage distribution. The density of this wage distribution is increasing at low wages and decreasing at high wages. The distribution can be right‐tailed, and, under additional restrictions, is hump‐shaped. Our results are illustrated by an example generating a Beta wage distribution.     

Job Matching and the Wage Distribution

This paper brings together the microeconomic‐labor and the macroeconomic‐equilibrium views of matching in labor markets. We nest a job matching model à la Jovanovic (1984) into a Mortensen and Pissarides (1994)‐type equilibrium search environment. The resulting framework preserves the implications of job matching theory for worker turnover and wage dynamics, and it also allows for aggregation and general equilibrium analysis. We obtain two new equilibrium implications of job matching and search frictions for wage inequality. First, learning about match quality and worker turnover map Gaussian output noise into an ergodic wage distribution of empirically accurate shape: unimodal, skewed, with a Paretian right tail. Second, high idiosyncratic productivity risk hinders learning and sorting, and reduces wage inequality. The equilibrium solutions for the wage distribution and for the aggregate worker flows—quits to unemployment and to other jobs, displacements, hires—provide the likelihood function of the model in closed form.     

SORTING AND THE OUTPUT LOSS DUE TO SEARCH FRICTIONS

We analyze a general search model with on‐the‐job search (OJS) and sorting of heterogeneous workers into heterogeneous jobs. For given values of nonmarket time, the relative efficiency of OJS, and the amount of search frictions, we derive a simple relationship between the unemployment rate, mismatch, and wage dispersion. We estimate the latter two from standard micro data. Our methodology accounts for measurement error, which is crucial to distinguish true from spurious mismatch and wage dispersion. We find that without frictions, output would be about 9.5% higher if firms can commit to pay wages as a function of match quality and 15.5% higher if they cannot. Noncommitment leads to a business‐stealing externality which causes a 5.5% drop in output.     

EQUILIBRIUM INCENTIVE CONTRACTS AND EFFICIENCY WAGES

We analyze the optimal (efficiency) wage contract when output is contractible but firms neither observe the workers' effort nor their match‐specific productivity. Firms offer wage contracts that optimally trade off effort and wage costs. As a result, employed workers enjoy rents, which in turn creates unemployment. Nonetheless, the incentive power of the equilibrium wage contract is constrained efficient in the absence of taxes and unemployment benefits. We also show that more high‐powered incentive contracts tend to be associated with higher equilibrium unemployment rates. (JEL: E24, J30, J41)     

Inefficient Job Destructions and Training with Hold‐up

This paper develops an equilibrium search model with endogenous job destructions and where firms decide at the time of job entry how much to invest in match‐specific human capital. We first show that job destruction and training investment decisions are strongly complementary. It is possible that there are no firings at equilibrium. Further, training investments are confronted to a hold‐up problem making the decentralized equilibrium always inefficient. We show therefore that both training subsidies and firing taxes must be implemented to bring back efficiency.     

Residential Location,Job Location,and Wages: Theory and Empirics

I develop a stylized partial on‐the‐job equilibrium search model that incorporates a spatial dimension. Workers reside on a circle and can move at a cost. Each point on the circle has a wage distribution. Implications about wages and job mobility are drawn from the model and tested on Danish matched employer–employee data. The model predictions hold true. I find that workers working farther away from their residence earn higher wages. When a worker is making a job‐to‐job transition where he/she changes workplace location he/she experiences a higher wage change than a worker making a job‐to‐job transition without changing workplace location. However, workers making a job‐to‐job transition that makes the workplace location closer to the residence experience a wage drop. Furthermore, low‐wage workers and workers with high transportation costs are more likely to make job‐to‐job transitions, but also residential moves.     

Education,Mobility and Employers’ Monopsony Power: A Search‐theoretic Analysis

Abstract. We analyse the efficiency of schooling choices in a wage‐posting search equilibrium model with on‐the‐job search. The workers have multidimensional skills and the search market is segmented by technology. Education determines the scope — or adaptability— of individual skills. Individuals obtain schooling to leave unemployment more quickly and to climb the wage ladder rapidly through job‐to‐job mobility — that is, to speed up job shopping. Education reduces firms’ monopsony power in the wage determination by improving workers’ mobility. As a result, the wage distribution shifts rightward with aggregate schooling. However, the ratio of vacant jobs to job seekers also falls in each sector. Either one or the other externality may dominate, implying, respectively, under‐ or over‐education. A combination of minimum wage and schooling fee can decentralize the efficient allocation.     

Wage Bargaining with On‐the‐Job Search: Theory and Evidence

Most applications of Nash bargaining over wages ignore between‐employer competition for labor services and attribute all of the workers' rent to their bargaining power. In this paper, we write and estimate an equilibrium model with strategic wage bargaining and on‐the‐job search and use it to take another look at the determinants of wages in France. There are three essential determinants of wages in our model: productivity, competition between employers resulting from on‐the‐job search, and the workers' bargaining power. We find that between‐firm competition matters a lot in the determination of wages, because it is quantitatively more important than wage bargaining à la Nash in raising wages above the workers' “reservation wages,” defined as out‐of‐work income. In particular, we detect no significant bargaining power for intermediate‐ and low‐skilled workers, and a modestly positive bargaining power for high‐skilled workers.     

THE REPLACEMENT PROBLEM IN FRICTIONAL ECONOMIES: A NEAR‐EQUIVALENCE RESULT

We examine how technological change affects wage inequality and unemployment in a calibrated model of matching frictions in the labor market. We distinguish between two polar cases studied in the literature: a “creative destruction” economy, where new machines enter chiefly through new matches and an “upgrading” economy, where machines in existing matches are replaced by new machines. Our main results are: (i) these two economies produce very similar quantitative outcomes, and (ii) the total amount of wage inequality generated by frictions is very small. We explain these findings in light of the fact that, in the model calibrated to the US economy, both unemployment and vacancy durations are very short, i.e., the matching frictions are quantitatively minor. Hence, the equilibrium allocations of the model are remarkably close to those of a frictionless version of our economy where firms are indifferent between upgrading and creative destruction, and where every worker is paid the same market‐clearing wage. These results are robust to the inclusion of machine‐specific or match‐specific heterogeneity into the benchmark model. (JEL: J41, J64, O33)     

DO FINANCIAL INCENTIVES AFFECT FIRMS’ DEMAND FOR DISABLED WORKERS?

A number of OECD countries aim to encourage work integration of disabled persons using quota policies. For instance, Austrian firms must provide at least one job to a disabled worker per 25 nondisabled workers and are subject to a tax if they do not. This “threshold design” provides causal estimates of the noncompliance tax on disabled employment if firms do not manipulate nondisabled employment; a lower and upper bound on the causal effect can be constructed if they do. Results indicate that firms with 25 nondisabled workers employ about 0.04 (or 12%) more disabled workers than without the tax; firms do manipulate employment of nondisabled workers but the lower bound on the employment effect of the quota remains positive; employment effects are stronger in low‐wage firms than in high‐wage firms; and firms subject to the quota of two disabled workers or more hire 0.08 more disabled workers per additional quota job. Moreover, increasing the noncompliance tax increases excess disabled employment, whereas paying a bonus to overcomplying firms slightly dampens the employment effects of the tax.     

Equilibrium Wage Dispersion with Worker and Employer Heterogeneity

We construct and estimate an equilibrium search model with on–the–job–search. Firms make take–it–or–leave–it wage offers to workers conditional on their characteristics and they can respond to the outside job offers received by their employees. Unobserved worker productive heterogeneity is introduced in the form of cross–worker differences in a “competence” parameter. On the other side of the market, firms also are heterogeneous with respect to their marginal productivity of labor. The model delivers a theory of steady–state wage dispersion driven by heterogenous worker abilities and firm productivities, as well as by matching frictions. The structural model is estimated using matched employer and employee French panel data. The exogenous distributions of worker and firm heterogeneity components are nonparametrically estimated. We use this structural estimation to provide a decomposition of cross–employee wage variance. We find that the share of the cross–sectional wage variance that is explained by person effects varies across skill groups. Specifically, this share lies close to 40% for high–skilled white collars, and quickly decreases to 0% as the observed skill level decreases. The contribution of market imperfections to wage dispersion is typically around 50%.     

Does Rent‐sharing Profit Female and Male Workers? Evidence from Israeli Matched Employer–Employee Data

This paper analyses the impact of workplace characteristics on individual wages based on a unique cross‐section matched employer–employee data set for the Israeli private manufacturing sector in 1995. Specifically, we examine the effects of the interaction between profit‐sharing and wages on the gender wage gap. The empirical findings show that individual compensation is significantly and positively correlated with firms’ profits‐per‐employee, even when controlling for all of the following: group effects in the residuals, individual and firms’ characteristics, industry wage differentials and endogeneity of profits. Wage–profit elasticity is found to be 11 per cent and it does not significantly differ between genders. With respect to the overall gender wage gap (on average women earn 28 per cent less than men), the results show that within firms there is no gender discrimination and that 12 per cent of this gap can be explained by the wage–profits profile and by the fact that women are more likely to be employed in less profitable firms than men.     

MEASURING LABOR MARKET FRICTIONS: A CROSS‐COUNTRY COMPARISON

In this paper we define and estimate measures of labor market frictions using data on job durations. We compare different estimation methods and different types of data. We propose and apply an unconditional inference method that can be applied to aggregate duration data. It does not require wage data, it is invariant to the way in which wages are determined, and it allows workers to care about other job characteristics. The empirical analysis focuses on France, but we perform separate analyses for the United States of America, the United Kingdom, Germany, and the Netherlands. We quantify the monopsony power due to search frictions and we examine the policy effects of the minimum wage, unemployment benefits, and search frictions. (JEL: J63, J64)     

Impact of the Minimum Wage on Youth Labor Markets

We study the effect of the minimum wage on labor market outcomes for young workers using US county‐level panel data from the first quarter of 2000 to the first quarter of 2009. We go beyond the usual estimates of earnings and employment effects to consider how differences across states in the minimum wage affect worker turnover via separations and accessions and job turnover through new job creation and job losses. We find that a higher minimum wage level is associated with higher earnings, lower employment and reduced worker turnover for those in the 14–18 age group. For workers aged 19–21 and 22–24, we find less consistent evidence of minimum wage effects on earnings and employment. But, even for these age groups, a higher minimum wage is found to reduce accessions, separations and the turnover rate.     

Worker Turnover,Capital Dispersion,and Matching

Abstract. A model acknowledging technology and wage dispersion, search frictions, and costly worker turnover is used for testing the notion of random matching. Using a linked employer–employee data set on roughly 9,000 Norwegian establishments and 200,000 jobs during the period 1989–95, I show that establishments investing more in capital, pay more, and experience lower worker turnover rate. Strictly convex turnover costs are identified. High‐wage establishments post on average less intensively than low‐wage establishments. Positive relationships between wages and posting are observed for high‐tech industries and in the capital and surroundings. Thus, the notion of random matching is generally rejected.     

Endogenous Contracts in Unionized Oligopoly

We study the endogenous determination of contracts in a unionized oligopoly and the welfare implications thereof. Alternative contracts specify the sequencing in the selection of R&D and wages. They can be classified as ‘fixed’ when the unions set wages before the firms make their R&D decisions or ‘floating’ when the sequencing of these choices is reversed. If the unions are highly employment‐oriented, we find that either all firm–union pairs choose floating‐wage contracts or both contract types may coexist depending on the degree of technological spillovers. However, when the unions have stronger preference over attaining a good wage deal, then it becomes very likely that fixed‐wage contracts will endogenously emerge because they can serve as an insurance device against oppor tunistic wage increases. Our welfare analysis suggests that welfare‐improving contracts may nevertheless not always arise in equilibrium.     

Wage Dispersion and Equilibrium Search Models: Some Evidence from Italy

This paper provides a structural estimation of an equilibrium search model with on‐the‐job search and heterogeneity in firms' productivities using a sample of Italian male workers. Results indicate that arrival rates of offers for workers are higher when unemployed than when employed and firms exploit their monopsony power when setting wages. As a result, workers earn far less than their marginal product. The model is then used to study regional labour market differentials in Italy. Wide variation in frictional transition parameters across areas helps to explain persistent unemployment and wage differentials.     

Earning While Learning: When and How Student Employment is Beneficial

Although studies of student employment (‘earning while learning’) mostly find positive wage effects, they do not adequately consider the relation of the employment to the field of study. We investigate how different types of student employment during tertiary education affect short‐ and long‐term labour market returns. Beyond examining differences between non‐working and part‐time working students, we distinguish between student employment related and unrelated to the field of study. Our results show significant positive labour market returns of ‘earning while learning’ only for student employment related to the field of study. These returns consist of a lower unemployment risk, shorter job‐search duration, higher wage effects, and greater job responsibility.