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.     

Wage posting without full commitment

Wage posting models of job search typically assume that firms can commit to paying workers exactly the posted wage. We relax this assumption and impose “downward” commitment; firms can commit only to paying at least their advertised wage. As each firm can only commit to pay at least their advertised wage, workers may demand that the firm pay more than the advertised wage. In labor markets with a finite number of workers and firms, the strategic interaction between firms makes it costly for firms to provide applicants the incentive not to demand wages in excess of the advertised wage. In equilibrium, firms may settle for running job auctions at the cost of losing control of the number of applicants that they can attract. When this strategic interaction between firms vanishes, workers never choose to demand more than the advertised wage.     

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.     

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.     

Holdups and Efficiency with Search Frictions

A natural holdup problem arises in a market with search frictions: Firms have to make a range of investments before finding their employees, and larger investments translate into higher wages. In particular, when wages are determined by ex post bargaining, the equilibrium is always inefficient: Recognizing that capital-intensive production relations have to pay higher wages, firms reduce their investments. This can only be prevented by removing all the bargaining power from the workers, but this, in turn, depresses wages below their social product and creates excessive entry of firms. In contrast to this benchmark, we show that efficiency is achieved when firms post wages and workers can direct their search toward more attractive offers. This efficiency result generalizes to an environment with imperfect information where workers only observe a few of the equilibrium wage offers. We show that the underlying reason for efficiency is not wage posting per se, but the ability of workers to direct their search toward more capital-intensive jobs.     

Skills,Tasks and the Scarcity of Talent in a Global Economy

The scarcity of talent is a tremendous challenge for firms in the globalized world. This paper investigates the role of labor market imperfection in open economies for the usage of talent in the production process of firms. For this purpose, I set up a heterogeneous firms model, where production consists of a continuum of tasks that differ in complexity. Firms hire low‐skilled and high‐skilled workers to perform these tasks. How firms assign workers to tasks depends on factor prices for the two skill types and the productivity advantage of high‐skilled workers in the performance of complex tasks. I study the firms’ assignment problem under two labor market regimes, which capture the polar cases of fully flexible wages and a binding minimum wage for low‐skilled workers. Since the minimum wage lowers the skill premium, it increases the range of tasks performed by high‐skilled workers, which enhances the stock of knowledge within firms to solve complex tasks and reduces the mass of active firms. In a setting with fully flexible wages trade does not affect the firm‐internal assignment of workers to tasks. On the contrary, if low‐skilled wages are fixed by a minimum wage, trade renders high‐skilled workers a scarce resource and reduces the range of tasks performed by this skill type with negative consequences for the human capital stock within firms. In this case, trade leads to higher per‐capita income for both skill types and thus to higher welfare in the open than in the closed economy, whereas – somewhat counter‐intuitive – inequality between the two skill types decreases, as more low‐skilled workers find employment in the production process.     

Wage differentials, discrimination and efficiency

I analyze a large labor market where homogeneous firms post wages to direct the search of workers who differ in productivity. I show that the model has a unique equilibrium. The wage differential depends positively on the workers’ productivity differential only when the latter is large. When the productivity differential is small, high-productivity workers get a lower wage than low-productivity workers. This reverse wage differential remains even when the productivity differential shrinks to zero. However, the equilibrium is socially efficient. High-productivity workers always get the employment priority and higher expected wages than low-productivity workers. Although discrimination in terms of expected wages does not exist, conventional measures are likely to incorrectly find discrimination in the model.     

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.     

Corporate Tournaments, Human Capital Acquisition, and the Firm Size–Wage Relation

This paper provides a possible explanation for the empirically observed size–wage effect and inter-industry wage differences. It develops a model in which incentives for workers to accumulate general human capital are provided by corporate tournaments, where workers with the highest level of general human capital win promotions. Given that the prizes in such tournaments are determined by outside market conditions, the investment and the equilibrium wages depend on firm and industry characteristics. The model implies that workers in bigger firms and in more technology intensive and profitable firms and industries acquire more human capital and receive higher wages and benefits.     

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.     

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.     

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.     

RESIDUAL WAGE DISPERSION WITH EFFICIENCY WAGES

This article extends a classic on‐the‐job search model of homogeneous workers and firms by introducing a shirking problem. Workers choose their effort levels and search on the job. Firms elicit effort through wages and monitoring; an inverse relationship between wages and monitoring rates is derived. Wages play a dual role by allocating labor supply and motivating employee effort. This gives rise to an equilibrium wage distribution that contrasts with existing literature. In particular, I show that a hump‐shaped and positively skewed wage distribution, as observed empirically, can be derived even when firms and workers are, respectively, identical.     

TRAINING,TURNOVER, AND SEARCH*

This article explores a model of firm‐specific training in a job search environment with labor turnover. The main substantive finding is a positive association between training and wages (when dispersed). The article then precisely characterizes how both wage dispersion and firm profitability depend on the flow value b≥ 0 of workers' unmatched time. It is shown that: (i) for all high values b, no equilibrium exists; (ii) for intermediate values b, multiple equilibria arise, where firms earn zero profits, and choose from a general wage distribution; (iii) for all lower values b, there is a unique equilibrium, with firms earning positive profits, and choosing from an atomless set of wages.     

WORKER INVESTMENTS IN SAFETY,WORKPLACE ACCIDENTS,AND COMPENSATING WAGE DIFFERENTIALS

The theory of compensating wage differentials (CWDs) assumes that firms supply and workers demand workplace safety, predicting a positive relationship between accident risk and wages. This article allows for safety provision by workers, which predicts a countervailing negative relationship between individual risk and wages: Firms pay higher wages for higher safety‐related productivity. Using National Longitudinal Survey of Youth panel data and data on fatal and nonfatal accidents, our precise CWDs imply a value of a statistical injury of $45.4 thousand and a value of a statistical life of $6.3 million. In line with our model, individual risk and wages are negatively correlated.     

Wage–vacancy contracts and multiplicity of equilibria in a directed search model of the labour market

This paper studies a directed search model of the labour market, which is standard in all aspects except two. First, we allow firms to post wage–vacancy contracts advertising the number of workers they would pay as well as the payment all will receive. Second, we consider two cases: one where workers are risk neutral and one where workers are risk averse, both in finite and large economies. Our paper shows that when firms post wage–vacancy contracts, whether workers are modelled as risk neutral or risk averse matters: the types of symmetric equilibria and the nature of multiplicity of equilibria are different. Somewhat surprisingly, when there are finite numbers of risk‐neutral workers and firms, we obtain a finite number of symmetric equilibria, but when workers are risk averse, we obtain a continuum of equilibria. Furthermore, our paper sounds a cautionary note on using large economies as an approximation of finite economies: when workers are risk neutral, the nature of equilibrium is preserved going from a finite to a large economy, but the nature of equilibrium is different when workers are risk averse.     

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.     

Holdup and wage dispersion

This paper provides a search-theoretic model of the labor market, in which large firms hire workers sequentially and wages are bargained with full commitment. The firm's optimal vacancy-posting strategy trades off the fact that a larger size decreases marginal benefits from subsequent jobs, but avoids higher future recruiting costs attributable to the holdup effect. The holdup effect is dominant if the production function is not sufficiently concave, resulting in firm-size wage premium. The equilibrium features wage dispersion both within and between firms. When calibrated to the U.S. data, the extended model accounts for 67%–84% of the observed wage dispersion, among which 13%–27% is attributed to the holdup effect.     

MARKET POWER AND EFFICIENCY IN A SEARCH MODEL*

We build a theoretical model to study the welfare effects and policy implications of firms’ market power in a frictional labor market. The main characteristics of our environment are that wages play a role in allocating labor across firms and the number of agents is finite. The decentralized equilibrium is inefficient and the firms’ market power results in the misallocation of workers from the high to the low productivity firms. A minimum wage exacerbates the inefficiencies by forcing the low‐productivity firms to increase their wage. Moderate unemployment benefits can increase welfare by improving the workers’ outside option.     

Unobserved Heterogeneity,Exit Rates,and Re‐Employment Wages

Exit rates from unemployment and re‐employment wages decline over a period of unemployment, after controlling for worker observable characteristics. We study the role of unobserved heterogeneity in an economy with asymmetric information and directed search. We show that the unique equilibrium is separating and that skilled workers have more job opportunities and higher wages. The composition of the unemployed varies with the duration of unemployment, so average exit rates and wages fall with time. The separating equilibrium relies on performance‐related pay schemes and the ability of firms to commit to renting an input that is complementary to worker skills.