General training by firms, apprentice contracts, and public policy

Workers will not pay for general on-the-job training if contracts are not enforceable. Firms may if there are mobility frictions. Private information about worker productivities, however, prevents workers who quit receiving their marginal products elsewhere. Their new employers then receive external benefits from their training. In this paper, training firms increase profits by offering apprenticeships which commit firms to high wages for those trainees retained on completion. At these high wages, only good workers are retained. This signals their productivity and reduces the external benefits if they subsequently quit. Regulation of apprenticeship length (a historically important feature) enhances efficiency. Appropriate subsidies enhance it further.     

The Layoff Rat Race*

We investigate how discretionary investments in general and specific human capital are affected by the possibility of layoffs. After investments are made, firms may have to lay off workers, and will do so in inverse order of the profit that each worker generates. Greater skill investments, especially in specific human capital, contribute more to a firm's bottom line, so that workers who make those investments will be laid off last. We show that as long as workers' bargaining positions are not too weak, workers invest in specific human capital in order to reduce layoff probabilities. Indeed, workers over‐invest in skill acquisition from a social perspective whenever their bargaining power is strong enough, even though they only receive a share of any investment. More generally, we characterize how equilibrium skill investments are affected by the distribution of worker abilities within firms, the probability that a firm will downsize, and the distribution of employment opportunities in the economy.     

Worker flows, job flows and firm wage policies

Like many transition economies, Slovenia is undergoing profound changes in the workings of the labour market with potentially greater flexibility in terms of both wage and employment adjustment. To investigate the impact of these changes, we use unique longitudinal matched employer‐employee data that permits measurement of employment transitions and wages for workers and enables links of the workers to the firms in which they are employed. We can thus measure worker flows and job flows in a comprehensive and integrated manner. We find a high pace of job flows in Slovenia especially for young, small, private and foreign‐owned firms and for young, less educated workers. While job flows have approached the rates observed in developed market economies, the excess of worker flows above job flows is lower than that observed in market economies. A key factor in the patterns of the worker and job flows is the determination of wages in Slovenia. A base wage schedule provides strict guidelines for minimum wages for different skill categories. However, firms are permitted to offer higher wages to an individual based upon the success of the worker and/or the firm. Our analysis shows that firms deviate from the base wage schedule significantly and that the idiosyncratic wage policies of firms are closely related to the observed pattern of worker and job flows at the firm. Firms with more flexible wages (measured as less compression of wages within the firm) have less employment instability and are also able to improve the match quality of their workers. JEL Classifications: J23, J31, J41, J61, P23, P31.     

Labor matching behavior and trade adjustment

This paper develops a model of costly trade and team production to examine the matching behavior of skilled workers in an open economy. Trade liberalization changes the supply of skilled production teams available for hire, even when firm production techniques remain fixed. As trade barriers fall, some workers choose to quit small firms in order to accept less skill intensive jobs at large firms that participate in foreign markets. Changes in worker matching behavior can explain several stylized features of firm-level adjustments to trade, with effects that are not limited to firms on the margin of exit or exporting. Trade is shown to rationalize the matching behavior of workers, leading to aggregate gains in productivity and lower prices. Openness benefits workers employed at exporting firms, however the likelihood of gaining from trade is not necessarily increasing in skill. Wages in the open economy are tied to both worker skill and job type.     

How does reciprocal behaviour of workers influence the wage setting of unions?

Traditional wage setting models assume that unions maximise the total income of workers, whereas actually they should maximise worker utility. These models implicitly equate utility with income, but this is not valid if workers’ utility depends on their sense of fairness and includes a non-pecuniary benefit from work. This paper presents a model combining efficiency wages with bargaining theory, drawing inspiration from the gift-exchange approach by Akerlof [Q J Econ 97(4):543–569, 1982]. It shows that the mutual gift exchange between firms and workers generates a non-pecuniary benefit which contributes to the workers’ utility in a non-monotonic way depending on the strength of workers’ sense of fairness. The model shows that if an employment subsidy is paid to workers it generates more jobs than when paid to firms. This paper is based on research which was performed while the author was employed at the University of Maastricht (The Netherlands). The author wishes to thank Thomas Ziesemer, Erik de Regt, Sabine Fuss and Kristin Vetter for many helpful comments and assumes full responsibility for any remaining flaws.     

PRODUCTIVITY GROWTH AND WORKER REALLOCATION*

Productivity dispersion across firms is large and persistent, and worker reallocation among firms is an important source of productivity growth. An equilibrium model of growth and firm evolution designed to clarify the role of worker reallocation in the growth process is studied. We show that it explains the correlations between size measures and labor productivity found in Danish firm data. Conditions under which the reallocation of workers from less to more productive firms contributes to aggregate productivity growth in the economy modeled are derived. Finally, a proof of existence of an equilibrium solution to the model is also provided.     

Job matching when employment contracts suffer from moral hazard

We consider a job matching model where the relationships between firms and wealth-constrained workers suffer from moral hazard. Specifically, effort on the job is non-contractible so that parties that are matched negotiate a bonus contract. Higher unemployment benefits affect the workers' outside option. The latter is improved for low-skilled workers. Hence they receive a larger share of the surplus, which strengthens their effort incentives and increases productivity. Effects are reversed for high-skilled workers. Moreover, raising benefit payments affects the proportion of successful matches, which induces some firms to exit the economy and causes unemployment to increase.     

Coexistence of long-term and short-term contracts

We study the length of agreements in a market in which infinitely-lived firms contract with agents that live for two periods. Firms differ in the expected values of their projects, as do workers in their abilities to manage projects. Worker effort is not contractible and worker ability is revealed during the relationship. The market dictates the trade-off between sorting and incentives. Short- and long-term contracts often coexist: The best firms always use short-term contracts to hire high-ability senior workers, firms with less profitable projects use short-term contracts to save on the cost of hiring junior workers, whereas intermediate firms use long-term agreements to provide better incentives to their workers. We relate our results to the optimal assignment literature that follows Becker (1973).     

The importance of worker, firm and match effects in the formation of wages

This paper estimates a Mincerian wage equation with worker, firm, and match specific effects and thereby complements the growing empirical literature started by the seminal paper of Abowd (Econometrica 67:251–333, 1999b). The analysis takes advantage of the extensive Danish IDA data which provides wage information on the entire working population in a 27-year period. We find that the major part of wage dispersion in the Danish labor market can be explained by differences in worker characteristics. However, the relative contributions of the three components vary across subgroups of workers. The match effect constitutes a non-negligible part of the overall wage dispersion. An analysis of inter-industry wage differentials shows that firm characteristics are more important at the industry level than at the worker level. Similarly, we find evidence that high-wage workers tend to sort into high-wage industries to a larger extent than they sort into high-wage firms within industries. The mobility pattern of workers is related to the quality of the firm and the match. Finally, we find that firms’ wage policies differ across subgroups.     

Performance Pay and Adverse Selection*

It is well known in personnel economics that firms may improve the quality of their workforce by offering performance pay. We analyze an equilibrium model where worker productivity is private information and show that the firms’ gain from worker self‐selection may not be matched by a corresponding social gain. In particular, the equilibrium incentive contracts are excessively high‐powered, thereby inducing the more productive workers to exert too much effort and increasing agency costs stemming from the misallocation of effort.     

Do Foreign Experts Increase the Productivity of Domestic Firms?

While most countries welcome (and some even subsidize) high‐skilled immigrants, there is very limited evidence of their importance for domestic firms. To guide our empirical analysis, we first set up a simple theoretical model to show how foreign experts can affect the productivity and wages of domestic firms. Using matched worker–firm data from Denmark and a matching difference‐in‐differences approach, we then find that firms that hire foreign experts instead of domestic experts become more productive, in the sense that they pay higher wages to high‐skilled co‐workers.     

Short or long-term contract? Firm’s optimal choice

This article studies the behaviour of a firm searching to fill a vacancy. The main assumption is that the firm can offer two different kinds of contracts to the workers, either a short-term contract or a long-term one. The short-term contract acts as a probationary stage in which the firm can learn about the worker. After this stage, the firm can propose a long-term contract to the worker or it can decide to look for another worker. We show that, if the short-term wage is fixed endogenously, it can be optimal for firms to start a working relationship with a short-term contract, but that this policy decreases unemployment and welfare. On the contrary, if the wage is fixed exogenously, this policy could be optimal also from a welfare point of view.     

Information, bilateral negotiations, and worker recruitment

This paper studies experimentally how firms choose between using a centralized market and bilateral negotiations to recruit new personnel. In the market firms interact with several workers but do not have information about workers’ behavior in the past. In the bilateral negotiations firms negotiate bilaterally with prospective workers and learn about workers’ performance in previous jobs. We show that the interaction between social preferences, the incompleteness of contracts and the existence of information about a worker’s past performance provides an explanation for firms forgoing market opportunities and bilaterally negotiating with a worker. We observe that approximately 30% of all job contracts were bilaterally negotiated when these contracts are incomplete as opposed to only 10% when contracts were complete. The surplus from trade is higher when incomplete contracts can be bilaterally negotiated, which can be attributed to the presence of information.     

Teaching locals new tricks: Foreign experts as a channel of knowledge transfers

Gains from productivity and knowledge transmission arising from the presence of foreign firms have received a good deal of empirical attention, but theoretical micro-foundations for this mechanism are limited. Here we develop a model in which foreign experts may train domestic workers who work with them. Hypotheses are generated under the assumptions that workers learn from experts (the effect of using an expert is not strictly temporary) and that this learning is embodied in the workers rather than in the firm. We use fixed effects and nearest neighbor matching estimators on a panel of plant-level data for Colombia that identifies the use of foreign experts, to show that these experts have substantial and persistent positive effects (though not always immediate) on the wages of domestic workers and on the value added per worker.     

Harmful signaling in matching markets

Several labor markets, including the job market for new Ph.D. economists, have recently developed formal signaling mechanisms. We show that such mechanisms are harmful for some environments. While signals transmit previously unavailable information, they also facilitate information asymmetry that leads to coordination failures. In particular, we consider a two-sided matching game of incomplete information between firms and workers. Each worker has either the same “typical” known preferences with probability close to one or “atypical” idiosyncratic preferences with the complementary probability close to zero. Firms have known preferences over workers. We show that under some technical condition if at least three firms are responsive to some workerʼs signal, the introduction of signaling strictly decreases the expected number of matches.     

Sorting by search intensity

In this paper, I characterize matching in an on-the-job search model with endogenous search intensity, heterogeneous workers and firms, and match surplus is shared between workers and firms through bargaining. I provide proof of existence and uniqueness of steady state equilibrium. Given equally efficient matched and unmatched search, the worker skill conditional distribution of firm productivity over matches is stochastically increasing (decreasing) in worker skill if the production function is supermodular (submodular). I also show that this strong notion of sorting does not obtain everywhere for the firm productivity conditional match distribution.     

How is the worker’s weekly hour related to wage over the life cycle? The U.S. evidence

The current study estimates the relationship between weekly hours and weekly wage over the life cycle of a representative sample of workers. Recognizing the endogeneity of these two variables, the study estimates both equations in a simultaneous equations framework and demonstrates that the relationship between weekly hours and weekly wage is not uniform over the worker’s life cycle. These two variables are negatively related when the workers are young and have a positive relationship when they are matured adults. This conclusion remains valid for both men and women. Our robustness check further confirms that workers respond to wage increases differently at different stages of their working career. This has interesting policy implications. Any policy to influence the worker’s hours decision through wage incentive must consider the stage of his/her working career.     

Micro Foundations for Wage Flexibility: Wage Insurance at the Firm Level*

To what extent do firms insulate their workers' wages from fluctuations in product markets? Which firm and worker attributes are associated with wage flexibility at the micro level? We first rely on Guiso, Pistaferri and Schivardi (2005) to estimate dynamic models of sales and wages, finding that in Portugal, workers' wages respond to permanent shocks on firm performance, as opposed to transitory shocks. We then explore the factors associated with wage flexibility, finding that collective bargaining and minimum wages are associated with higher wage insurance by the firm, while the threat of firm bankruptcy reduces it. Managers receive less protection against permanent shocks than other workers.     

LEARNING, EXTERNALITIES, AND THE SALE OF INVENTIONS TO FIRMS WITH CORRELATED VALUATIONS

I examine how an inventor's ability to learn affects the bargaining outcome when she attempts to sell a discovery to one of two oligopolistically competitive firms with correlated and private valuations. It is shown that learning gives the inventor an incentive to lower her proposed price to the first firm approached since being rejected would cause her to be pessimistic when dealing with the second firm. At the same time, however, the inventor would like to raise her proposed price since this pessimism is weaker if she is rejected upon making a high proposal. Another incentive to raise the proposal comes from the fact that learning increases the first firm's willingness to pay for the invention. Computational results suggest that the first effect dominates and thus the inventor lowers her proposal in the first round. When dealing with the second firm, it is shown that learning results in a lower equilibrium proposal and contracting with more types. Moreover, it is shown that the cost of lowering the proposed price outweighs the benefit of contracting with more types so that learning in general reduces the continuation value associated with contracting in the second round.