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 endogenous national minimum wage institution

This paper offers reasoning for the endogenous sustainability of the National Minimum Wage Institution (NMWI). In an economy with asymmetries in productivity among unionized firms, high-tech firms may often opt for minimum wage agreements covering all unionized workers, in order to raise the relative costs of their rival low-tech firms. Their workers’ unions as well as the unions of workers in low-tech firms share this interest, provided that the degree of product substitutability is not too low and the wage agreement is not too high. Hence, since economy-wide minimum wage agreements prove to be compatible with the interest of all unions and high-tech firms, the NMWI can be sustained in equilibrium under politically convenient circumstances.     

A note on internal and external reference in efficiency wage models

According to Bewley, a workers’ morale depends on being treated fairly within firms. This implies that the internal comparison of the own wage with wages paid to other workers within the firm affects individual effort determination. By contrast, the standard efficiency wage models only consider a comparison of the own wage with external income opportunities as the only determinant for individual effort. We provide a simple efficiency wage framework in which both the internal and external perspectives can affect individual effort determination. Our framework suggests that the internal reference is essential for the existence of real wage rigidity while the external reference ensures an upward-sloping wage-setting curve.      

Occupational self-selection in a labor market with moral hazard

This paper studies the determinants and implications of self-selection when firms imperfectly observe worker effort. The effects of the resulting moral hazard problem on the self-selection mechanism are analyzed in a model in which workers simultaneously choose an employment sector and an effort level. The implications of the model reveal that in the presence of moral hazard, workers’ effort decisions become an additional mechanism determining the pattern of selection into sectors. Workers’ sector-specific endowments impact sectoral allocation through their effect on workers’ comparative advantage as well as their effect on workers’ shirking propensity. The model is then used in an empirical application that analyzes workers’ self-selection into white collar and blue collar occupations. The estimation results, based on data from the National Longitudinal Survey of Youth, suggest that workers’ occupational self-selection leads to higher wages and lower dismissal rates in both occupations, compared to an economy in which workers are randomly assigned to each occupation. The difference in dismissal rates between the two occupations is driven by the higher expected productivity in the white collar sector. The positive effects of occupational sorting diminish as the labor market becomes increasingly characterized by moral hazard. Results also suggest that human capital investments in skills that are most relevant to blue collar jobs may generate higher wages and lower dismissal rates in both white collar and blue collar occupations.     

Wages fund, high wages, and social conflict in a classical model of unemployment equilibrium

The aim of the paper is to provide an explanation of involuntary unemployment in a classical (post-Ricardian) framework. The model describes a three-stage bargaining process with four agents (governments, firms, unions, workers). In the first stage, firms determine the wage offered, following a short-run version of the wages fund theory. In the second stage, unionists determine the wage demanded, which depends on workers’ tendency to conflict, while firms decide the number of employed under a “right to manage” hypothesis. In the third stage, governments tax the wages fund and pay unemployment benefits. Public intervention is subject to a trade-off between accumulation and legitimation.     

Union-oligopoly bargaining and entry deterrence: a reassessment of limit pricing

This paper introduces wage bargaining in the framework of Milgrom and Roberts (Econometrica 50(2):443–459, 1982) where the workers’ reservation wage is the private information parameter critical for entry. We show that entry threat significantly distorts the wage, which in some cases adversely affects the firm’s ability to signal through price. Consequently, the separating equilibrium (in price) does not always exist. If, however, wage agreements are made public, signalling occurs with or without distortions in wage depending on whether the union’s bargaining power is high or low. Pooling equilibrium also exists and it features similar distortions. We also examine which signal, wage or price, generates greater social welfare. We would like to thank two referees for their helpful comments and suggestions. This paper is partially based on a chapter of Pal’s PhD thesis done at Indira Gandhi Institute of Development Research (IGIDR), India. For remaining errors we are solely responsible.     

Do good workers hurt bad workers—or is it the other way around?*

I study the effect of worker heterogeneities on wages and unemployment in a directed search model. A worker's productivity in a given firm depends both on his type and on a worker–firm specific component. Firms advertise unconditional wage offers only. The resulting equilibrium is inefficient, with a too high wage premium for high‐type workers, and too few high‐type jobs. This reduces the welfare of high‐type workers. My findings contrast with the findings in the literature on labor market segmentation, where it is argued that the existence of high‐type workers forces down wages and reduces welfare for low‐type workers.     

Dismissal conflicts and unemployment

We analyse the institutional sources of dismissal conflicts when workers’ effort is not perfectly observable. We build an efficiency wage model with firing costs to capture their effect on employment through wages. In this context, whenever there is a dismissal, a double moral hazard problem can arise. Resolution of this problem by a third party will be imperfect due to asymmetric information. In turn, disciplinary dismissals will not be costless and firing costs will have a negative effect on aggregate employment. The solution to this problem does not necessarily imply the elimination of firing costs.     

Endogenous wage bargaining institutions in oligopolistic sectors

Summary. This paper explores the endogenous emergence of wage bargaining institutions in a union-oligopoly framework. Technological asymmetries among firms are shown to be the driving force for the emergence of alternative wage bargaining centralization structures that are observable in real life. As wage deals at the sector-level obtain the consensus of all unions and the efficient firms, a regulator has an incentive to authorize those deals by activating/establishing a Minimum Sectoral Wage Institution(MSWI). If productivity differences are high enough, wage setting above the established wage floor may subsequently occur in efficient firms. Otherwise, a completely centralized wage bargaining structure emerges and the sector-level wage deal is simply confirmed as the firms wage rate. If, however, productivity asymmetries are rather insignificant, firms and unions have conflicting interests and a completely decentralized wage bargaining regime prevails in equilibrium.Received: 17 December 2001, Revised: 9 June 2003, JEL Classification Numbers: J50, J31, L13.Correspondence to: Emmanuel PetrakisParticular appreciation is expressed to an anonymous referee who has greatly helped us to improve our work upon an earlier draft of this paper. We also wish to thank T. Kollinzas, J. Padilla, H. Bester, J. Sakovics, K. Uwe-Kühn, J. J. Dolado, J. L. Ferreira, A. Matsui and C. Martinelli for their helpful comments and suggestions.     

Reciprocity and matching frictions

The ability of search and matching models to replicate stylized facts—such as volatilities and correlations—has been a center of attraction over the last couple of years. This paper introduces the Akerlof (Q J Econ 97:543–569, 1982) fair wage approach into an endogenous separation search and matching model. Within a RBC general equilibrium context, we show that the efficiency wage model outperforms its benchmark Nash bargaining pendant. In particular, the model generates the empirically observed volatilities in response to a productivity shock and replicates a strong Beveridge curve. Furthermore, we derive the Solow condition in a search environment and discuss the interactions of search and efficiency wage frictions. We show that search frictions create a wedge between the optimal wage/effort solution in the search and the competitive equilibrium. The efficiency wage consideration adds an additional margin to the firm's decision problem. As effort varies over the cycle, it changes the firm's optimal response to exogenous disturbances and amplifies the response to shocks.     

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.     

The composition of wage differentials between migrants and natives

We consider the role of unobservables, such as differences in search frictions, reservation wages, and productivities for the explanation of wage differentials between migrants and natives. We disentangle these by estimating an empirical general equilibrium search model with on-the-job search due to Bontemps et al. (1999) on segments of the labour market defined by occupation, age, and nationality using a large scale German administrative dataset.The native-migrant wage differential is then decomposed into several parts, and we focus especially on the component that we label “migrant effect”, being the difference in wage offers between natives and migrants in the same occupation-age segment in firms of the same productivity. Counterfactual decompositions of wage differentials allow us to identify and quantify their drivers, thus explaining within a common framework what is often labelled the unexplained wage gap.     

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.     

FIRM HETEROGENEITY AND THE LABOR MARKET EFFECTS OF TRADE LIBERALIZATION*

This article develops a model that incorporates workers' fair wage preferences into a general equilibrium framework with heterogeneous firms. In a setting where the wage considered to be fair by workers depends on the productivity of the firm they are working in, we study the determinants of profits, involuntary unemployment and within‐group wage inequality. We use this model to investigate the effects of globalization, thereby pointing to distributional conflicts that have so far not been accounted for: a simultaneous increase of average profits and involuntary unemployment as well as a surge in within‐group wage inequality.     

Privatization and efficiency wages

The impact of privatization is investigated in a shirking model of efficiency wages. Without trade unions, privatization — modeled as a stricter control of employees — lowers wages and raises employment, output, and profits, while effort and productivity effects depend on the employees' risk aversion. However, for a utilitarian monopoly union, facing a company characterized by a constant-elasticity labor-demand schedule, privatization raises efficiency wages. If privatization is modeled as a stronger profit orientation, wages, effort, and labor productivity will rise, while employment will shrink in a wage-setting firm. Again, wage and employment effects can be reversed in the case of wage negotiations.     

The Distribution of Earnings in an Equilibrium Search Model with State‐Dependent Offers and Counteroffers*

We construct an equilibrium job search model with on‐the‐job search in which firms implement optimal‐wage strategies under full information in the sense that they leave no rent to their employees and counter the offers received by their employees from competing firms. Productivity dispersion across firms results in wage mobility both within and across firms. Workers may accept wage cuts to move to firms offering higher future wage prospects. Equilibrium productivity dispersion across ex ante homogeneous firms can be endogenously generated. Productivity dispersion then generates a nontrivial wage distribution which is generically thin‐tailed, as typically observed in the data.     

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.     

The influence of potential on wages and effort

We investigate how employee potential influences wage offers and effort exertion in a gift exchange experiment. In particular, we test if gift exchange based on a commonly accepted norm for wage differentiation can emerge in a setting where the wage demands of agents are heterogeneous. We also analyse how communication by principals responds to the unequal wage demands and how it influences agents’ decisions about working effort in the presence of varying degrees of bargaining power. We find that differences in productivity and the resulting entitlements lead to differentiation in wages. High productivity agents are offered substantially higher wages than low productivity agents. Results from a control experiment suggest that a large part of this wage markup is related to the future productivity potential of high performers. At the same time, unequal wage schemes do not substantially crowd out effort exertion: we observe no strong detrimental effects from disadvantageous relative wage positions. Certain communication patterns significantly influence effort exertion.     

Monetary regimes and the co-ordination of wage setting

A recent literature argues that a strict monetary regime may reduce equilibrium unemployment by disciplining wage setters, as wage setters abstain from raising wages to avoid a monetary contraction. However, in this literature the wage setters are assumed not to co-ordinate their wage setting. The present paper argues that precisely because a strict monetary regime may discipline the unco-ordinated wage setting, thus lowering unemployment in the unco-ordinated outcome, it also reduces wage setters’ incentives to co-ordinate. It is shown that an accommodating monetary regime may reduce equilibrium unemployment, via the strengthening of the wage setters’ incentives to co-ordinate.