WAGE BARGAINING AND MERGER INCENTIVES WITH ASYMMETRIC COSTS

This paper examines how wage bargaining within each firm influences the relationship between an equilibrium ownership structure and the most preferred ownership structure from the viewpoint of social welfare, in a unionized oligopoly of asymmetric firms with respect to productivity of capital. We consider the merger incentive of each firm’s owner when the wage level is determined through bargaining between the firm’s owner and union. We derive a condition for both the degree of cost asymmetry among existing firms and the relative bargaining power of each firm’s owner to her/his union such that each ownership structure can be observed in equilibrium. We also show that although the two types of ownership structures with the merger involving the least efficient firm can be equilibria and socially optimal, these structures are observed only when both the degree of cost asymmetry and the relative bargaining power of each firm’s owner are moderate. Finally, we analyse the relationship among the cooperative game approach employed in this paper and two non‐cooperative merger formation approaches, and examine the robustness of the results obtained in this paper against the change in the assumption regarding each firm’s cost function.     

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.     

Offshoring and Reshoring: The Roles of Incomplete Contracts and Relative Bargaining Power

This paper demonstrates that an increase in bargaining power of Northern firms relative to that of their Southern contractors can trigger reshoring if the North-South wage differential is moderate, such that only industries with a high share of unskilled labor find outsourcing profitable. However, such an increase in Northern bargaining power can increase offshoring if the wage differential is so high that even industries with a low share of unskilled labor also offshore.     

A Note on Franchising and Wage Bargaining

A franchising contract relocates distributable rent between franchisor and franchisee. With decentralized wage bargaining relocation modifies the position of the union in the wage bargaining. If the rent is relocated to the franchisor completely, then even a strong union is not able to raise wage above reservation level in the franchisee's firm. If franchisor and franchisee negotiate on rent division, there is an incentive to increase the franchise fee at the expense of the union. Therefore the overall rent assigned to labor depends on the differences of labor intensity in the franchisor's and franchisee's firms. Firm owners may be able to transfer distributable rents from a firm with a strong union to one with a weak union. Furthermore, a franchising contract shows a first mover advantage. A franchising contract is placed before wage bargaining, benefiting the franchisor.     

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.     

LABOR SUPPLY FACTORS AND ECONOMIC FLUCTUATIONS

We propose a new Vector Autoregressive identification scheme that enables us to disentangle labor supply shocks from wage bargaining shocks. Identification is achieved by imposing sign restrictions on the responses of the unemployment rate and the labor force participation rate to the two shocks. According to our analysis on United States data over the period 1985–2014, labor supply shocks and wage bargaining shocks are important drivers of output and unemployment both in the short run and in the long run. These results suggest that identification strategies used in estimated new Keynesian models to disentangle labor market shocks may be misguided.     

The trade-offs from pattern bargaining with uncertain production costs

Pattern bargaining is a negotiating strategy that is often employed by industry-wide unions in oligopolistic industries to set wages. The conventional wisdom is that pattern bargaining “takes labor out of competition” and therefore softens bargaining between the union and firms, resulting in higher industry wide wages. However, this does not explain why firms agree to pattern bargaining. We introduce a model in which the agents face uncertainty about the relative product-market positions of the firms and compare the trade-offs involved in adopting different bargaining mechanisms. We show that with sufficient heterogeneity in non-labor costs, there are situations in which both the union and the firms prefer pattern bargaining. We also show that in such situations, the adoption of pattern bargaining harms consumers. This provides an explanation as to how pattern bargaining can arise in equilibrium and why there is often strong political opposition to it.     

Staggered wages,unanticipated shocks and firms’ adjustments

This paper empirically investigates the employment and wage effects of contract staggering, i.e., the asynchronous and infrequent way in which wages adjust to changes in the economic environment. Using an identification strategy based on exogenous start dates of collective agreements around the Great Recession, we estimate the effect of increases in base wages on firms’ labor cost adjustments. Our analysis is based on a large employers-employees dataset merged to collective agreements in the Netherlands, a country in which collective bargaining is dominant and contract staggering is relatively pervasive. The main result is that staggered wage setting has no real effect on employment. We find significant employment losses only in sectors covered by contracts with much longer durations than those normally assumed in macroeconomic models featuring staggered wages. Instead, we show that firms adjust labor costs by curbing other pay components such as bonuses and benefits and incidental pay. The overall result supports the idea that wage rigidities are not the main source of employment fluctuations.     

INFORMATION SHARING IN UNION–FIRM RELATIONSHIPS*

Large firms often negotiate wage rates with labor unions. When they do, an ex ante agreement to share information should make it more likely that they will reach an agreement and capture the gains from trade. However, if the firm refuses to share information, the union may shade down its wage demand to increase the probability of acceptance. This reduction in the wage can increase the joint surplus of the agents and increase social welfare. As a result, there are some circumstances in which bargaining with incomplete information can be better for the agents and society than bargaining with complete information.     

The Location of Firms in Unionized Countries*

This paper develops a two‐country economic geography model with Cournot competition, where the labor markets are unionized so that trade unions bargain efficiently with each firm over wages and employment. Agglomeration forces are present due to wage premia obtained by the trade unions. It is shown that if the bargaining power of unions differs across countries then, as trade costs are reduced, the country with relatively weak unions gradually acquires all firms. However, for a range of trade costs, it is also a locally stable equilibrium for all firms to locate in the country with strong unions.     

Wage Bargaining Versus Efficiency Wages: A Synthesis

We construct a model integrating the efficiency wage model of Shapiro–Stiglitz (1984) (SS), with an individual wage bargaining model in the Diamond–Mortensen–Pissarides (DMP) tradition where firms and workers form pairwise matches. We show that when workers may threaten to shirk on the job and there is individual wage bargaining, the wage is always higher and employment lower than in either the SS model, or the (appropriately modified) DMP model. When firms determine workers' efforts unilaterally, efforts are set inefficiently low in the SS model. In the bargaining model, effort is higher, and is first best when the worker non–shirking constraint does not bind. The overall equilibrium allocation may then be more or less efficient than in the SS model, but is always less efficient than in a pure bargaining model with no moral hazard.     

Working capital requirement and the unemployment volatility puzzle

Shimer (2005) argues that a search and matching model of the labor market in which wage is determined by Nash bargaining cannot generate the observed volatility in unemployment and vacancy in response to reasonable labor productivity shocks. This paper examines how incorporating monopolistically competitive firms with a working capital requirement (in which firms borrow funds to pay their wage bills) improves the ability of the search models to match the empirical fluctuations in unemployment and vacancy without resorting to an alternative wage setting mechanism. The monetary authority follows an interest rate rule in the model. A positive labor productivity shock lowers the real marginal cost of production and lowers inflation. In response to the fall in price level, the monetary authority reduces the nominal interest rate. A lower interest rate reduces the cost of financing and partially offsets the increase in labor cost from a higher productivity. A reduced labor cost implies the firms retain a greater portion of the gain from a productivity shock, which gives them a greater incentive to create vacancies. Simulations show that a working capital requirement does indeed improve the ability of the search models to generate fluctuations in key labor market variables to better match the U.S. data.     

The Organisation of Wage Bargaining in Divisionalised Firms

This paper analyses the organisation of wage bargaining in multiproduct firms since it affects the distribution of power between workers and firms. We assume that each firm has two plants and chooses who bargains the wage with the workers: either the head of the firm or the manager of each plant. Similarly, in each firm, its workers choose whether they set up plant unions or a single union.     

International Trade and Collective Bargaining Outcomes: Evidence from German Employer–Employee Data

In theoretical trade models with variable mark‐ups and collective wage bargaining, exposure to international markets might reduce the exporter wage premium. We test this prediction using linked German employer–employee data covering the years 1996–2007. To separate the rent‐sharing mechanism from assortative matching, we exploit individual worker information to construct profitability measures that are free of skill composition. Our results show that rent‐sharing is less pronounced in more export‐intensive firms or in more open industries. The exporter wage premium is highest for low‐productivity firms. In line with theory, these findings are unique to the subsample of plants covered by collective bargaining.     

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.     

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.     

Sex, Wages, and Productivity: An Empirical Analysis of Israeli Firm-Level Data

Sex discrimination in labor markets may generate a wage gap between men and women that exceeds any gap in marginal productivity. We test for this type of discrimination using unique firm-level data on manufacturing firms in Israel. There is a statistically significant negative association between wages and the proportion of a firm's workforce that is female. However, there is also a statistically significant negative association between marginal productivity and the proportion of females. The difference beween the wage and productivity gaps is small relative to wage-regression estimates of wage discrimination, and is not statistically significant, which is most consistent with no discrimination.     

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.     

No education,no good jobs? Evidence on the relationship between education and labor market segmentation

This paper assesses labor market segmentation across formal and informal salaried jobs and self-employment in three Latin American and three transition countries. It looks separately at the markets for skilled and unskilled labor, inquiring if segmentation is an exclusive feature of the latter. Longitudinal data are used to assess wage differentials and mobility patterns across jobs. To study mobility, the paper compares observed transitions with a new benchmark measure of mobility under no segmentation. It finds evidence of a formal wage premium relative to informal salaried jobs in the three Latin American countries, but not in transition economies. It also finds evidence of extensive mobility across these two types of jobs in all countries, particularly from informal salaried to formal jobs. These patterns are suggestive of a preference for formal over informal salaried jobs in all countries. In contrast, there is little mobility between self-employment and formal salaried jobs, suggesting the existence of barriers to this type of mobility or a strong assortative matching according to workers’ individual preferences. Lastly, for both wage differentials and mobility, there is no statistical difference across skill levels, indicating that the markets for skilled and unskilled labor are similarly affected by segmentation.     

Search,Concave Production,and Optimal Firm Size

This paper demonstrates that in a free entry search and bargaining economy with concave production firms over-employ. Bargaining allows the worker's wage to depend upon marginal productivity. As such, with strictly concave production, the wage declines as firms employ more labor. Firms react to this declining wage function by choosing an inefficiently large number of workers. However, in equilibrium, fewer firms are likely to enter causing aggregate employment and vacancies to fall.Journal of Economic LiteratureClassification Numbers: J30, J41, J50.