Entry Deterrence in a Unionized Oligopoly

We investigate wage determination between an incumbent firm and its labour union under threat from another firm entering its product market. In equilibrium, it may be optimal for a labour union of the incumbent firm to lower its wage demand. This may make it possible for the incumbent firm to maintain a higher employment level, in that the lower wages can help the firm deter the entry of a rival firm. This will yield a higher profit for the incumbent firm and a lower utility level for the labour union compared with those in an equilibrium with no threat of entry.
JEL Classification Numbers: J51, L10     

International outsourcing when labour markets are unionized

Abstract. We consider the implications of international outsourcing in a simple general equilibrium model where the wage rate is the outcome of negotiations between a firm and a trade union. The effects of potential, but non‐realized, international outsourcing, is a reduction in the wage rate and an increase in employment. Aggregate welfare increases, but the trade union becomes worse off while owners of capital become better off. Realized international outsourcing gives rise to an increase in the wage rate and a reduction in employment. Aggregate welfare decreases, but the trade union becomes better off, while owners of capital become worse off.     

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.     

Strategic union delegation and strike activity

Abstract.  We develop a model of wage determination with private information, in which the union has the option to delegate the wage bargaining to either surplus‐maximizing delegates or to wage‐maximizing delegates (such as senior union members). We show that the wage outcome in case of surplus‐maximizing delegates is not necessarily smaller than the wage outcome in case of wage‐maximizing delegates, even when the wage bargaining with private information is close to one with complete information. However, if it is commonly known that the union is stronger than the firm and the demand is sufficiently elastic, then delegating to wage‐maximizing delegates definitely increases the wage at equilibrium. The maximum delay in reaching an agreement is greater whenever the union chooses wage‐maximizing delegates instead of surplus‐maximizing delegates and remains finite even when the period length shrinks to zero. JEL classification: C70, C71, C72, C78     

The optimal degree of cooperation in the repeated Prisoners' Dilemma with side payments

In the infinitely repeated Prisoners' Dilemma with side payments, we characterize the Pareto frontier of the set of subgame perfect equilibrium payoffs for all possible combinations of discount factors. Play paths implementing Pareto dominant equilibrium payoffs are uniquely determined in all but the first period. Full cooperation does not necessarily implement these payoffs even when it maximizes total stage game payoffs. Rather, when the difference in players' discount factors is sufficiently large, Pareto dominant equilibrium payoffs are implemented by partial cooperation supported by repeated payments from the impatient to the patient player. When both players are sufficiently patient, such payoffs, while implemented via full cooperation, are supported by repeated payments from the impatient to the patient player. We characterize conditions under which public randomization has no impact on the Pareto dominant equilibrium payoffs and conditions under which such payoffs are robust to renegotiation.     

Union–firm bargaining: Order of play and efficiency

This paper shows that a modified alternating offers Rubinstein model can provide a Pareto superior outcome in the context of the right-to-manage union–firm bargaining. Two examples of bargaining protocols that yield a superior outcome are provided. In the first example, the parties engage in a game in which the order of play is determined as part of the bargaining. We show that the game has a unique subgame perfect equilibrium in which the firm always moves first in the wage bargaining game. The equilibrium wage is, therefore, unique. In the second example, we examine a two-part-tariff alternating offers bargaining protocol, where the parties bargain over the wage and transfer payments. We show that this bargaining protocol has a Pareto efficient, unique subgame perfect equilibrium. Thus, although the parties do not bargain over the level of employment, the outcome under this protocol is, nevertheless, socially optimal.     

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.     

Taxes,Strikes and Wages

A union and a firm bargain about wage increases. The firm possesses private information about its revenues. A two-period screening model is used to derive equilibrium wage demands by the union and to calculate measures of strike activity. Changes in wage demands and dispute probabilities due to alterations in various taxes are analysed. A more progressive income tax, a lower level of income taxes and higher payroll taxes reduce wages and strike activity. Hence, tax policy can be used not only to affect wages and employment, but lso to influence strike incidence.     

The impact of trade on employment,welfare, and income distribution in unionized general oligopolistic equilibrium

This paper sets up a multi-sector general oligopolistic equilibrium trade model in which all firms face wage claims of firm-level unions. By accounting for productivity differences across industries, the model features income inequality along multiple lines, including inequality between firm owners and workers as well as within these two groups of agents, and involuntary unemployment. We use this setting to study the impact of trade liberalization on key macroeconomic performance measures. In particular, we show that a movement from autarky to free trade with a fully symmetric partner country lowers union wage claims and therefore stimulates employment and raises welfare. Whether firms can extract a larger share of rents in the open economy depends on the competitive environment in the product market. Furthermore, the distribution of profit income across firm owners remains unaffected, while the distribution of wage income becomes more equal when a country opens up to trade with a fully symmetric trading partner. We also analyze how country size differences and technological dissimilarity of trading partners affect the results from our analysis.     

Endogenous rationing,price dispersion and collusion in capacity constrained supergames

This paper examines the feasibility of collusion in capacity constrained duopoly supergames. In each period firms simultaneously set a price–quantity pair specifying the price for the period and the maximum quantity the firm is willing to sell at this price. Under price–quantity competition firms are able to ration their output below capacity. For a wide range of capacity pairs, the equilibrium path providing the smaller firm with its highest stationary perfect equilibrium payoff requires that it undercut its rival’s price and ration demand. Furthermore, for some capacities and discount factors supporting security level punishments, price shading and rationing arise everywhere on the set of stationary perfect equilibrium paths yielding (constrained) Pareto optimal payoffs. That is, price shading may not only be consistent with optimal collusion, it may be a requirement of optimal collusion.     

Bargaining over a Menu of Wage Contracts

We investigate an infinite horizon bargaining problem in which a firm and a worker bargain over two dimensions, quality and wage. The worker has private information about his type. Only the uninformed firm makes an offer and it can offer a menu of quality-wage contracts instead of single one. We show that for all discount factors, the unique sequential equilibrium outcome is separating without delay; the firm separates the types of worker with a menu of contracts in the first period. Our result shows that in multi-dimensional bargaining, the "Coase Conjecture" holds in the sense that the game ends in the first period. But it fails in the sense that the uninformed party can preserve the entire bargaining power.     

Competing wage claims,cost inflation,and capacity utilization

This paper develops a theory of competing wage claims and cost inflation, and attempts to integrate this theory into the core of modern macroeconomic analysis. Specifically, the paper proposes an explanation for wage inertia and wage interdependence based on an application of duopoly theory to labor unions, and incorporates this microeconomic theory of labor union behavior into a macroeconomic general equilibrium model with goods, money, and bonds as well as two kinds of labor. Special emphasis is placed on the interplay between demand and cost factors in the inflation process and on the implications of wage competition among labor unions for the relationship between inflation and unemployment in the short and long run.     

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.     

Uniqueness of Stationary Equilibrium Payoffs in the Baron-Ferejohn Model

We consider a multilateral sequential bargaining model in which the players may differ in their probability of being selected as the proposer and the rate at which they discount future payoffs. For games in which agreement requires less than unanimous consent, we characterize the set of stationary subgame perfect equilibrium payoffs. With this characterization, we establish the uniqueness of the equilibrium payoffs. For the case where the players have the same discount factor, we show that the payoff to a player is nondecreasing in his probability of being selected as the proposer. For the case where the players have the same probability of being selected as the proposer, we show that the payoff to a player is nondecreasing in his discount factor. Journal of Economic Literature Classification numbers: C72, C78, D70.     

Investment and technological choice in a right-to-manage model

We analyze the interactions between investment and local wage bargaining in a putty-clay model where the investment decision commits the firm to a particular capital intensity. This technological precommitment is used strategically in order to manipulate the bargaining outcome. We show that this strategic behavior induces a nonmonotonic relationship between the capital and labor demands of the firm and most of its environmental parameters (e.g., the bargaining power of the union, its minimum wage requirement, the capital cost). The results we obtain in our putty-clay framework thus contradict several conclusions of the standard literature on wage bargaining and investment.     

The Cournot-Bertrand profit differential: A reversal result in a differentiated duopoly with wage bargaining

This paper compares Cournot and Bertrand equilibria in a downstream differentiated duopoly in which the input price (wage) paid by each downstream firm is the outcome of a strategic bargain with its upstream supplier (labor union). We show that the standard result that Cournot equilibrium profits exceed those under Bertrand competition - when the differentiated duopoly game is played in imperfect substitutes - is reversible. Whether equilibrium profits are higher under Cournot or Bertrand competition is shown to depend upon the nature of the upstream agents’ preferences and on the distribution of bargaining power over the input price. We find that the standard result holds unless unions are both powerful and place considerable weight on the wage argument in their utility function.     

Regionalism and Multilateral Trade Liberalization with Asymmetric Countries

The paper examines the impact of regionalism on the process of multilateral trade liberalization when countries are asymmetric. The author uses a three‐country, three‐good, competing exporters model, with countries being symmetric in everything but their discount factors. The equilibrium regional agreement is found to be a customs union between a patient and an impatient country and that the impact of regionalism depends on the discount factors. The impact of regionalism on multilateral trade liberalization depends critically on which countries engage in regionalism.     

Wage bargaining and inflation

This paper investigates the issue of time inconsistency of monetary policy in a game with perfect information and infinite repetitions. The private sector is described by a wage negotiation process between a labour union and a firm. Unlike in the standard literature, the model has the feature that as the distortion of the economy gets larger, namely as the bargaining power of the union increases, the reputational equilibrium with low inflation becomes more likely to occur. This finding is consistent with the observation that higher levels of the labour cost are not typically associated with higher levels of inflation.     

Infinitely repeated games with public monitoring and monetary transfers

This paper studies infinitely repeated games with imperfect public monitoring and the possibility of monetary transfers. It is shown that all public perfect equilibrium payoffs can be implemented with a simple class of stationary equilibria that use stick-and-carrot punishments. A fast algorithm is developed that exactly computes the set of pure strategies equilibrium payoffs for all discount factors.     

Profit sharing as entry deterrence mechanism

In a right-to-manage framework, this paper analyzes the optimal choice of the pay scheme (profit sharing vs. fixed wage) in a unionized duopoly with potential market entry and decentralized bargaining. The paper shows that, depending on the institutional features, both pay systems can arise as equilibria in Nash strategies. Under duopoly with committed bargaining, the fixed wage is the Nash equilibrium; with flexible bargaining, an agreement between the incumbent firm and its union about profit sharing arises as Nash equilibrium, if the union is not too strong. A monopoly with threat of entry reinforces the selection of profit sharing as a deterrent mechanism.