COMPETITIVE SEARCH,EFFICIENCY, AND MULTIWORKER FIRMS*

I study competitive search equilibrium in an environment where firms operate a decreasing‐returns production technology and hire multiple workers simultaneously. Firms post wages, possibly several of them. The equilibrium can feature wage dispersion even though all firms and workers are ex ante identical. Unlike the benchmark where firms hire a single worker, hiring is constrained inefficient. Efficiency requires that firms commit to the number of hires, pay all applicants, or pay wages that depend on the number of applicants. Under wage‐posting, the inefficiency is highest at intermediate levels of labor market tightness.     

HIGH-SKILLED MIGRATION AND THE EXERTION OF EFFORT BY THE LOCAL POPULATION

The optimal design of immigration policy is a topical issue, both in the policy debate and the economic literature. In this paper, we present empirical evidence from a firm level dataset collected in 2000 on the demand for high-skilled workers, including foreign workers, in Europe and its determinants. Our major findings are that the fraction of high-skilled workers recruited from the international labour market is very small, and that foreign and domestic workers are very similar in terms of their formal education (measured by specialization subject) and their job characteristics. We suggest an efficiency wage model to explain why firms recruit foreign workers in small numbers, and why they are willing to pay immigrants the same wage as local workers, whilst at the same time also paying for their moving costs, despite the similar human capital profile of immigrants to domestic workers.     

Unobserved Individual and Firm Heterogeneity in Wage and Job‐Duration Functions: Evidence from German Linked Employer–Employee Data

Abstract. We analyse the correlations between individual and firm fixed effects, and wage and job‐duration functions. Our results for large firms suggest that low‐wage firms tend to be stable firms, suggesting that lower wages can buy job stability. Furthermore, high‐wage workers sort into the stable low‐wage firms. Our interpretation is that high‐wage workers have a higher wage to insure against job loss and can afford more easily to forgo wages in favour of job stability. This may provide an explanation of the puzzle identified in previous literature that high‐wage workers are matched to low‐wage firms.     

Equilibrium Wage Dispersion,Firm Size,and Growth

This paper analyzes a model of equilibrium wage dynamics and wage dispersion across firms. It considers a labor market where firms set wages and workers use on-the-job search to look for better paid work. It analyzes a perfect equilibrium where each firm can change its wage paid at any time, and workers use optimal quit strategies. Firms trade off higher wages against a lower quit rate, and large firms (those with more employees) always pay higher wages than small firms. Non-steady-state dispersed price equilibria are also analyzed, which describe how wages vary as each firm and the industry as a whole grow over time. Journal of Economic Literature Classification Numbers: D43, J41.     

Wage/tenure contracts with heterogeneous firms

This paper investigates equilibria where firms post wage/tenure contracts and risk averse workers search for new job opportunities whether employed or unemployed. We generalize previous work by assuming firms have different productivities. Equilibrium implies more productive firms always offer more desirable contracts. Thus workers never quit from more productive firms for less productive firms. Nevertheless turnover is inefficient as employees with long tenures at low productivity firms may reject outside job offers from more productive firms. A worker who quits to a more productive firm may accept a wage cut. Such wage cuts are compensated by faster “promotion” rates to higher wage levels in the future. We also generalize previous arguments by showing equilibria exist where the distribution of offers contains interior mass points and find equilibrium wage/tenure contracts need not be smooth.     

Participation,Recruitment Selection,and the Minimum Wage

In this paper, we re‐examine the efficiency of participation with heterogeneous workers in a search‐matching model with bargained wages and free entry. Assuming that firms hire their best applicants, we show that participation is always too low. The reason for this is a hold‐up phenomenon: to be active, a worker must pay the entire search cost whereas part of the gain from this investment goes to the firm. As a consequence, introducing a (small) minimum wage raises participation, job creation, and employment. Therefore, net aggregate income of the economy is increased.     

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.     

DIRECTED SEARCH ON THE JOB AND THE WAGE LADDER*

We model a labor market where employed workers search on the job and firms direct workers' search using wage offers and employment probabilities. Applicants observe all offers and face a trade‐off between wage and employment probability. There is wage dispersion among workers, even though all workers and jobs are homogeneous. Equilibrium wages form a ladder, as workers optimally choose to climb the ladder one rung at a time. This is because low‐wage applicants are relatively more sensitive to employment probability than to wage and thus forgo the opportunity to apply for a high wage, with a lower chance of success.     

On-the-job search and strategic bargaining

This paper studies wage bargaining in a simple economy in which both employed and unemployed workers search for better jobs. The axiomatic Nash bargaining solution and standard strategic bargaining solutions are inapplicable because the set of feasible payoffs is nonconvex. I instead develop a strategic model of wage bargaining between a single worker and firm that is applicable to such an environment. I show that if workers and firms are homogeneous, there are market equilibria with a continuous wage distribution in which identical firms bargain to different wages, each of which is a subgame perfect equilibrium of the bargaining game. If firms are heterogeneous, I characterize market equilibria in which more productive firms pay higher wages. I compare the quantitative predictions of this model with Burdett and Mortensen's [1998. Wage differentials, employer size and unemployment. International Economic Review 39, 257-273.] wage posting model and argue that the bargaining model is theoretically more appealing along important dimensions.     

A Directed Search Model of Inequality with Heterogeneous Skills and Skill–Biased Technology

In this paper I analyse the directed search/matching problem in an economy with heterogeneous skills and skill–biased technology. A unique symmetric equilibrium exists and is socially efficient. Matching is partially mixed in the equilibrium. A high–tech firm receives both skilled and unskilled applicants with positive probability, and favours skilled workers, while a low–tech firm receives only unskilled applicants. The model generates wage inequality among identical unskilled workers, as well as between–skill inequality, despite the fact that all unskilled workers perform the same task and have the same productivity in the two types of firms. Inequality has interesting responses to skill–biased technological progress, a general productivity slowdown, and an exogenous increase in the skill supply elasticity.     

员工离职成本与企业在职培训*

假设员工转换工作的“离职成本”是员工的私人信息,对企业而言服从特定分布,企业对员工采取（买方的）三级区别定价。企业的在职培训既提高员工的劳动生产率,又改变员工离职成本的分布,最终影响员工的离职率和“生产率—工资”之差。这两个作用都会影响企业投资于在职培训的激励。已有文献仅关注后一个激励,本文模型则二者兼顾,研究了企业在职培训的决定因素,以及企业培训与员工离职的关系。本文证明,即使没有压缩的工资结构,企业仍有激励提供一般性员工培训。较高的离职率也可以伴随着较高的培训水平,从而同时实现培训效率和劳动力配置效率。本文认为这是欧洲“双元制”培训体系的成功经验,可作为我国经济转型升级的政策参考。     

The Role of Expectation on Job Search and the Firm Size Effect on Wages

We formulate dynamic games which give a rationale to the firm size–wage effect that the sheer firm size increases wages. We postulate that past wages of large firms are known to new employees, while those of small firms are not. Large firms can credibly induce workers to expect high future wages and reduce turnover, while small firms have no choice but to be myopic and pay low wages. The equilibrium wage differential obtains under the same worker characteristics and production function. We provide empirical evidence that workers' expectations depend on firm size and affect wages as predicted by our model.     

Learning about match quality and the use of referrals

The firm?s decision to use referrals as a hiring method is studied in a theoretical model of the labor market. The labor market is characterized by search frictions and uncertain quality of the match between a worker and a job. Using referrals increases the arrival rate of applicants and provides more accurate signals regarding a worker?s suitability for the job. Consistent with the data, referred workers are predicted to have higher wage, higher productivity and lower separation rates and these differentials decline with tenure. The model is extended by introducing heterogeneity in firm productivity and allowing the endogenous determination of signal accuracy. High productivity firms are predicted to invest more in increasing signal accuracy and use referrals to a lesser extent.     

Multinational Firms and Technology Transfer

We construct an oligopoly model in which a multinational firm has a superior technology compared to local firms. Workers employed by the multinational acquire knowledge of its superior technology. The multinational may pay a wage premium to prevent local firms from hiring its workers and thus gaining access to their knowledge. In this setting, the host government has an incentive to attract FDI due to technology transfer to local firms or the wage premium earned by employees of the multinational firm. However, when FDI is particularly attractive to the multinational firm, the host government has an incentive to discourage FDI.
JEL classification : F 13; F 23; J 41; L 13; O 14; O 33; O 38     

LABOR MARKET EQUILIBRIUM WITH REHIRING

Consistent with the empirical evidence, this article analyzes a labor market in which separations are not permanent and reactivated firms prefer to rehire former employees instead of seek new ones. Workers engage in job search due to the uncertain prospects of rehiring. If firms can commit to wages contingent on rehiring, they backload wages to provide incentives for workers to reduce their unobservable search effort. Under risk aversion and incomplete markets, if productivity at reactivation is sufficiently high, the tension between wage backloading and consumption smoothing leads to excessive search in equilibrium.     

Firm heterogeneity and trade-induced layoffs: An empirical investigation

We use a novel data set with verified observations of trade-induced layoffs by U.S. firms to study the interaction between firm productivity and trade liberalization as key determinants of firm-level job destruction due to trade. We find that patterns of trade-induced layoffs are broadly consistent with the predictions for firm-level employment generated by the Melitz (2003) heterogeneous firms theory – the number of trade-induced layoffs increases with firm productivity for non-exporting firms but decreases with firm productivity for exporting firms. The fact that exporting firms incur trade-induced layoffs at all invites a refined interpretation of the theory. Our findings suggest that exporting firms may lay off some workers who work in production for their shrinking domestic segments, while also engaging in some within-firm reallocation of workers. We also find that, even after controlling for productivity and export status, larger firms lay off more workers due to trade competition.     

Employee share ownership in a unionised duopoly

Profit sharing schemes have been analysed assuming Cournot competition and decentralised wage negotiations, and it has been found that firms share profits in equilibrium. This paper analyses a different remuneration system: employee share ownership. We find that whether firms choose to share ownership or not depends on both the type of competition in the product market and the way in which workers organise to negotiate wages. If wage setting is decentralised, under duopolistic Cournot competition both firms share ownership. If wage setting is centralised, only one firm shares ownership if the degree to which goods are substitutes takes an intermediate value; otherwise, the two firms share ownership. In this case, if the union sets the same wage for all workers neither firm shares ownership. Therefore, centralised wage setting discourages share ownership. Finally, under Bertrand competition neither firm shares ownership regardless of how workers are organised to negotiate wages.     

Capacity constrained firms in (labor) markets with adverse selection

Summary. We discuss a competitive (labor) market where firms face capacity constraints and individuals differ according to their productivity. Firms offer two-dimensional contracts like wage and task level. Then workers choose firms and contracts. Workers might be rationed if the number of applicants exceeds the capacity of the firm. We show that under reasonable assumptions on the distribution of capacity an equilibrium in pure strategies (by the firms) exists. This result stands in contrast to the case of unlimited capacity. The utility level is uniquely determined in equilibrium. No rationing occurs in equilibrium, but it does off the equilibrium path. Received: December 29, 1999; revised version: November 30, 2000     

Pay inequality and firm performance: evidence from matched employer–employee data

A large matched employer–employee data set for Sweden is used to test several predictions from tournament theory. For white-collar workers a positive and significant effect of intra-firm wage dispersion on profits and average pay is found, using various measures of wage dispersion. This result is robust for controlling for firm differences in human capital and firm fixed-effects as well as for instrumenting the wage dispersion variable to take into account endogeneity of wage dispersion. Using data on around 10?000 managers, a positive and significant association between pay dispersion and profits is also found for executives. Further results include a positive relationship between market demand volatility and wage dispersion, measured as coefficient of variation in managerial pay, and a negative effect of the number of managers (contestants) on managerial pay spread. The first two results are in accordance with predictions from tournament theory, while the last one is not.