Directed search with multiple job applications

We develop an equilibrium directed search model of the labor market where workers can simultaneously apply for multiple jobs. Our main theoretical contribution is to integrate the portfolio choice problem faced by workers into an equilibrium framework. All equilibria of our model exhibit wage dispersion. Consistent with stylized facts, the density of wages is decreasing and higher wage firms receive more applications per vacancy. Unlike most models of directed search, the equilibria are not constrained efficient.     

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.     

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.     

Prices,Productivity and Wage Bargaining in Open Economies*

According to the standard union bargaining model, unemployment benefits should have big effects on wages, but product‐market prices and productivity should play no role in the wage bargain. We formulate an alternative strategic bargaining model, where labour and product‐market conditions together determine wages. A wage equation is derived and estimated on aggregate data for four Nordic countries. Wages are found to depend not only on unemployment and the replacement ratio, but also on productivity, international prices and exchange rates. There is evidence of considerable nominal wage rigidity. Exchange rate changes have large and persistent effects on competitiveness.     

Wage bargaining and turnover costs with heterogenous labor and perfect history screening

We study effects of mobility costs in a model of (Nash) wage bargaining between workers and firms, with instantaneous matching, heterogeneous workers, identical firms and free firm entry, and where firms can screen workers perfectly according to their previous work history but not their actual productivity. We derive the employment level and the minimum worker quality standard, in the market solution, and in the efficient solution established by a social planner. When workers have positive bargaining power, there is always some inefficient unemployment among desired workers in the market solution. The lowest hiring standard chosen by firms is higher than the planner's standard when firing costs are high relative to hiring costs, but may be lower in the opposite case. We show that any higher established hiring standard corresponds to a market equilibrium. The model explains a tendency for a high initial unemployment rate to remain high, particularly for low-skilled workers.     

A MATCHING MODEL WITH ENDOGENOUS SKILL REQUIREMENTS>*

We consider a labor market in which workers differ in their abilities and jobs differ in their skill requirements. The distribution of worker abilities is exogenous, but we model the choice of skill requirements by firms. High‐skill jobs produce more output than low‐skill jobs, but high‐skill jobs require high‐skill workers and thus are more difficult to fill. We use a matching model together with a Nash bargaining approach to wage setting to determine the equilibrium mix of job types, along with the equilibrium relationship between worker and job characteristics, wages, and unemployment.     

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.     

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.     

UNION–FIRM BARGAINING AGENDA REVISITED: WHEN UNIONS HAVE DISTINCT PREFERENCES

In this paper we revisit the issue of the scope of bargaining between firms and unions by considering a more general union's utility function with distinct preferences and sequential negotiations. First, we compare exogenously given labour market institutions; i.e., right‐to‐manage (RTM) and sequential efficient bargaining (SEB). We show that the conventional wisdom, which states that firms always prefer RTM, no longer holds. In fact, when unions are adequately wage aggressive and have strong enough bargaining power, firms may prefer SEB negotiations; however, firms switch their preference to RTM when unions are very strong. Moreover, we show that a conflict of interest between the parties may emerge when unions are sufficiently employment oriented as well as sufficiently wage aggressive and not too strong or too weak in bargaining. Second, we analyse the endogenous choice of the bargaining agenda. We show that a rich plethora of equilibria may occur and new situations of conflict/agreement of interests between the bargaining parties arise in particular when unions are sufficiently wage‐aggressive.     

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.     

Wage Bargaining,Privatisation, Ability to Pay and Outside Options: Evidence from Hungary

This article examines the determinants of short-term wage dynamics, using a sample of large Hungarian companies for 1996–99. We test the basic implications of an efficient contract model of bargaining between incumbent employees and managers, which the data do not reject. In particular, there are structural differences between the ownership sectors consistent with our prior knowledge on relative bargaining strength and unionisation measures. Stronger bargaining position of workers leads to higher ability to pay elasticity of wages, and lower outside option elasticity. Our results indicate that while bargaining position of workers in domestic privatised firms may be weaker than in the state sector, the more robust difference relates to state sector workers versus privatised firms with majority foreign ownership.     

AN ULTIMATUM WAGE BARGAINING EXPERIMENT ON TRADE UNION EFFICIENCY

We present an ultimatum wage bargaining experiment showing that a trade union facilitating non‐binding communication among workers, raises wages by simultaneously increasing employers’ posted offers and toughening the bargaining position of employees, without reducing overall market efficiency.     

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.     

Can minimum wages cause a big push? Evidence from Indonesia

Big Push models suggest that local product demand can create multiple labor market equilibria: one featuring high wages, formalization, and high demand and one with low wages, informality, and low demand. I demonstrate that minimum wages may coordinate development at the high wage equilibrium. Using data from 1990s Indonesia, where minimum wages increased in a varied way, I develop a difference in spatial differences estimator which weakens the common trend assumption of difference in differences. Estimation reveals strong trends in support of a big push: formal employment increases and informal employment decreases in response to the minimum wage. Local product demand also increases, and this formalization occurs only in the non-tradable, industrializable industries suggested by the model (while employment in tradable and non-industrializable industries also conforms to model predictions).     

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.     

Frictional wage dispersion with Bertrand competition: An assessment

I examine whether a version of the Cahuc et al. (2006) model can match the magnitude of wage dispersion, as measured by the ratio of the average and the lowest wage — the so-called mean-min ratio of Hornstein et al. (2011). I find that the workers? bargaining power is a crucial parameter: the mean-min ratio strictly decreases in the bargaining power up to a point near 1/2 and is essentially flat thereafter, generating the same amount of wage dispersion as the canonical wage ladder model, which is a special case of the CPVR model. Consequently, this model can yield large wage dispersion only for low bargaining power on the workers? side. I show that the share of job-to-job transitions with wage drops is decreasing in the bargaining power, calibrate the latter to the former, and demonstrate that the CPVR model generates an empirically plausible amount of wage dispersion. I also show that negative wages arise when workers have no bargaining power, and discuss the implications for the empirical findings of Postel-Vinay and Robin (2002b).     

Directed search with heterogeneous firms: an experimental study

Directed search models labor markets where workers observe wages before deciding where they will apply. This paper tests this model for the case of heterogeneous firms in a laboratory experiment. The theory predicts that more productive firms offer higher wages and workers apply more often to these higher wages. In consequence, more productive firms are more likely to match and the market is more efficient than the prediction of an alternative model where search is random. The main results of the experiment are that average firms offer wages that are close to or a little lower than the theoretical predictions but highly variable and workers apply more often to high offers but not to the extent predicted. The markets are no more efficient than random search predicts, because of the variation in wage offers.