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.     

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.     

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.     

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.     

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.     

Search, mismatch and unemployment

This paper explores the efficiency of the equilibrium allocation in a matching model with heterogeneous workers and jobs. In the basic setup there are two types of workers with different skill levels. Both types can perform the simple tasks of unskilled jobs, while the complex tasks of skilled jobs require a high-ability worker. We demonstrate that the equilibrium outcome with random search and ex-post bargaining is never efficient. Under the Hosios condition, the average wage is correct, but bargaining compresses the wage distribution relative to workers’ shadow values. This feature distorts the relative profits of jobs, making it too attractive for firms to create skilled jobs. Furthermore, due to the low-skill premium, the high-ability workers may accept too many jobs. Finally, in an extension, we show that the introduction of separate markets for the two types of jobs is not sufficient to guarantee efficiency.     

Semi-unionized bargaining with endogenous membership and management opposition

This paper develops a model of open shop unions and efficient bargain, in which there is a social custom to unionize and the firms can pay wage premiums to dissuade union membership. If firms actively oppose unions, the union density turns out to be affected by changes of the product price and the reservation wage, and it is not always positively correlated with the workers' income share. Moreover, the model provides a rationale for higher union density in centralized as opposed to decentralized bargaining systems.I would like to thank Robert Boyer, Hans Peter Grüner, Roger Guesnerie, and two referees for helpful comments and suggestions. All remaining errors are mine. Financial support from the Commission of the European Communities (SPES-915028) is gratefully acknowledged.     

Trade unions vs. statistical discrimination: Theory and application to post-apartheid South Africa

A simple model of statistical discrimination is analyzed, which captures some stylized facts of the South African labor market. It shows that this type of discrimination disappears when the wage rates are determined by efficient bargaining between a representative firm and a union, with endogenous membership. This may explain why the wage gap between Black and White workers in post-apartheid South Africa is smaller among unionized workers than among non-unionized ones.     

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.     

The codetermined firm in a Cournot duopoly: A stability analysis

This paper aims to study the stability issue in a Cournot duopoly with codetermined firms. We show that when both firms codetermine employment together with decentralised employees' representatives, a rise in wages acts as an economic (de)stabiliser when the wage is fairly (high) low, while under profit maximisation a rise in wages always acts as a stabilising device because the parametric stability region monotonically increases with the wage in such a case. Moreover, a rise in the union's bargaining power has a de-stabilising effect, except when the wage is low and the firm power is already high. Therefore, under codetermination a change either in the wage or firm power in the Nash bargaining plays an ambiguous role on stability. We also show with numerical simulations that complex dynamics can also occur.     

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.     

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.     

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).     

Unionization,international integration,and selection

Abstract We study how unionization affects competitive selection between heterogeneous firms when wage negotiations can occur at the firm or at the profit‐centre level. With productivity specific wages, an increase in union power has: (i) a selection‐softening; (ii) a counter‐competitive; (iii) a wage‐inequality; and (iv) a variety effect. In a two‐country asymmetric setting, stronger unions soften competition for domestic firms and toughen it for exporters. With profit‐centre bargaining, we show how trade liberalization can affect wage inequality among identical workers both across firms (via its effects on competitive selection) and within firms (via wage discrimination across destination markets).     

Lower Tax Progression, Longer Hours and Higher Wages

The impact of tax reforms that decrease income tax progression is analysed in an equilibrium search model with wage bargaining and endogenous individual working hours. Working hours are either bargained together with the hourly wage (case 1) or determined solely by workers after bargaining over the wage (case 2). In both cases reducing tax progression increases working hours of employed and, more interestingly, unambiguously increases wages and unemployment. Wages and unemployment rise more and working hours and production less in case 1 compared to case 2, probably making case 2 countries best suited for such tax reforms.
JEL Classification : H 24; J 22; J 41     

R&D INVESTMENTS AND SEQUENTIAL WAGE NEGOTIATIONS*

This paper analyses how the structure of wage bargaining affects R&D investment by firms that increases the productivity of labour in a Cournot duopoly. We find that total expenditure on R&D is greater when wages are set simultaneously than when they are set sequentially. Thus sequential wage negotiations reduce the incentive for firms to innovate and affect the productivity of labour. When wage negotiations are sequential the productivity of labour is greater (lower) in the follower (leader) firm than when negotiations are simultaneous. We also obtain that for same parameter values it is possible for the firm with the lower productivity to end up paying a higher wage than the firm with the higher level of labour productivity.     

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.     

Marx Inside the Circuit: Discipline device,wage bargaining and unemployment in a sequential monetary economy

The aim of this paper is to show that Marxian labour theory of value can be consistently interpreted in terms of the monetary circuit model, where firms need initial finance to start production and where the money supply is endogenous. In contrast to the recently revived Marxian monetary models, in particular the New Interpretation, it is argued here that although the money wage is bargained for on the labour market, the real wage is determined by firms' choices, since firms autonomously determine the structure of production and hence real consumption for the working class as a whole. This does not mean that firms are able to set the real wage without economic and social constraints. Starting from our circuitist reading of the labour theory of value and distribution, a model is developed in order to determine the level of employment and income distribution, on the assumptions that (i) the industrial reserve army affects wage bargaining and labour effort and that (ii) workers react to the failure of their expectations on the real wage by reducing their work intensity. In this context, it is shown that firms may increase their share of profits over time only be means of innovations.     

Near rationality in wage setting

This study argues that it is interesting to examine near rational behaviour in the context of an efficiency wage model, where there are positive if decreasing returns to increasing the wage beyond the efficient level. Previous research has found it difficult to distinguish between efficiency wage and bargaining models, which have similar empirical predictions. But unions are a priori more likely to develop in environments in which the technology favours efficiency wage payments. This makes it interesting to investigate what it costs the firm to deviate from the efficiency wage. If it does not cost a lot, firms may give in to union demands. This study derives expressions for the wage deviation and for the associated profit loss. For illustrative purposes, these are calibrated for UK, US and Indian manufacturing, taking a plausible parameterization of the effort-wage function and using available estimates of the wage and employment elasticities of output. While there is evidence of positive effort returns to wages in the UK and India, the results are consistent with wage bargaining pushing the wage above the efficient level. The associated profit loss is considerably larger in the UK than in India. In contrast, US firms pay wages that are insignificantly different from the efficiency wage.