Relative wages, labor specialization and bargaining patterns

The goal of this paper is to study the effects of centralized and decentralized bargaining patterns on wage inequality when there are two different types of labor, skilled and unskilled. We present two models where labor is specialized between firms, that is, there are two types of firms, each one employing one type of labor. We show that the revenue shares of the production factors in each type of firm and the union power are crucial determinants of the relative wage. In contrast, the relative expected wage is the same across models and bargaining patterns.     

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.     

Signaling via an agenda in multi-issue bargaining with incomplete information

Summary. While actual bargaining features many issues and decision making on the order in which issues are negotiated and resolved, the typical models of bargaining do not. Instead, they have either a single issue or many issues resolved in some fixed order, typically simultaneously. This paper shows that, when there is incomplete information, such an approach removes an important avenue for information transmission: the bargaining agenda itself. Compared to the standard model, pooling on offers by the informed is reduced and a signaling equilibrium arises when the agenda is determined endogenously. Signaling is carried out by use of an issue-by-issue bargaining agenda. Received: September 3, 1997; revised version: May 11, 1998     

Bilateral matching and bargaining with private information

We study equilibria of a dynamic matching and bargaining game (DMBG) with two-sided private information bilateral bargaining. The model is a private information replica of Mortensen and Wright (2002). There are two kinds of frictions: time discounting and explicit search costs. A simple necessary and sufficient condition on parameters for existence of a nontrivial equilibrium is obtained. This condition is the same regardless whether the information is private or not. In addition, it is shown that when the discount rate is sufficiently small, the equilibrium is unique and has the property that every meeting results in trade.     

The bargaining set of a large economy with differential information

Summary. We study the Mas-Colell bargaining set of an exchange economy with differential information and a continuum of traders. We established the equivalence of the private bargaining set and the set of Radner competitive equilibrium allocations. As for the weak fine bargaining set, we show that it contains the set of competitive equilibrium allocations of an associated symmetric information economy in which each trader has the “joint information” of all the traders in the original economy, but unlike the weak fine core and the set of fine value allocations, it may also contain allocations which are not competitive in the associated economy. Received: February 15, 1999; revised version: August 9, 1999     

Mixed-strategy equilibria and strong purification for games with private and public information

This paper shows the existence of mixed-strategy equilibria for games with private and public information under general conditions. Under the additional assumptions of finiteness of action spaces and diffuseness and conditional independence of private information, a strong purification result is obtained for the mixed strategies in such games. As a corollary, the existence of pure-strategy equilibria follows. I am very grateful to Yeneng Sun, Nicholas C. Yannelis and M. Ali Khan for helpful discussions and suggestions. I also wish to thank an anonymous referee whose comments led to many improvements in the paper.     

Wage bargaining and employment revisited: separability and efficiency in collective bargaining*

We analyse the two-dimensional Nash bargaining solution (NBS) by deploying the standard labour market negotiations model of McDonald and Solow. We show that the two-dimensional bargaining problem can be decomposed into two one-dimensional problems, such that the two solutions together replicate the solution of the two-dimensional problem if the NBS is applied. The axiom of “independence of irrelevant alternatives” is shown to be crucial for this type of decomposability. This result has significant implications for actual negotiations because it allows for the decomposition of a multi-dimensional bargaining problem into one-dimensional problems – and thus helps to facilitate real-world negotiations.     

Strategic delay and endogenous offers in bargaining games with private information

This paperendogenously determines the order of offers and the duration of delay in reaching agreement between buyers and sellers in a continuous-time bargaining game in which a seller wishes to vend an object of known cost to a buyer, to whom the value of the good is private information, and in which each player can choose to strategically delay a response to a previous offer or to interrupt the delay of his rival. Both buyers and sellers are shown to prefer to move first in a model of bargaining in which: (1) either player can make the first offer; (2) after the minimum time has elapsed from the previous offer, either player can make an offer; and (3) players can choose to strategically delay and refrain from making an offer after the previous offer. When the buyer moves first, the equilibrium response for the seller is to accept the offer immediately. When the seller moves first the equilibrium is characterized by the seller making all but the last offer, with minimal feasible delay between successive offers. Observable endogenous delay in reaching an agreement in such equilibria approaches zero as the minimal feasible delay between offers approaches zero. This indicates that in noncooperative bargaining models with private information, where players can strategically delay their offers, endogenizing the order in which players make offers removes the ability of informational asymmetries to generate equilibria exhibiting endogenous delay in reaching an agreement.     

Technology selling and innovation with bargaining

We examine when the price of technology is found through bargaining between the seller and the buyer and explore its effect on the innovation incentive. Selling the technology is preferred to licensing for the innovating firm. The possibility of selling increases the incentive for innovation compared to licensing for a range of high‐cost innovation, but reduces the incentive for a range of low‐cost innovation.     

Dynamic bilateral bargaining under private information with a sequence of potential buyers

A seller owning a single, indivisible asset faces the random arrival of privately informed buyers, with whom he can bargain sequentially. Our key result is that despite the arrival of alternative buyers the Coase conjecture continues to hold under stationary strategies if the distribution of buyer valuations has convex support: Negotiations end almost immediately and the asset is sold almost at the minimum of the seller's own reservation value and the lowest possible valuation of a buyer. We also show existence of multiple stationary equilibria, though, in the special case where the support of buyers' valuations exhibits a sufficiently large “interior gap”. Taken together, our findings thus also point to a potential pitfall when analyzing only two-type distributions in more applied work.     

Unemployment,wages and pensions

Empirical evidence has shown the existence of a negative relationship between the rates of unemployment and real wages. If pensions are computed according to the wages that workers have contributed, then the unemployment rates during working life may also influence the pensions to which they are entitled. Using data from 2005 to 2012 for the Spanish social security system, we estimate that the unemployment elasticity of real pension is ?0.135. A 1% increase in unemployment rate is associated with a reduction in pension equal to 0.135%. In ‘normal times’, this value could be considered modest, but the Great Recession has increased dramatically the rate of unemployment. In 2012, the rate of unemployment in Spain had increased to 25.7% and in 2015, it had diminished to 20.9%. It is estimated that unemployment rate will not be returned to figures existing before the crisis until middle of the next decade. Moreover, the current reforms in social security systems could interact with the future effects of the current rates of unemployment and cause future pensions to be significantly lower than those estimated by individuals. The economic welfare of the future cohorts of retirees would then be significantly worsened.     

Gamson's Law versus non-cooperative bargaining theory

We compare Gamson's Law, a popular empirical model of legislative bargaining, with two non-cooperative bargaining models in three players divide the dollar games in which no player has enough votes to form a winning coalition on their own. Both of the game theoretic models better organize the comparative static data resulting from changes in nominal bargaining power than does Gamson's Law. We also identify deviations from the point predictions of the non-cooperative bargaining models. Namely, proposer power is not nearly as strong as predicted under the Baron–Ferejohn model, and a significant number of bargaining rounds tend to take more than two steps under demand bargaining and more than one stage under Baron–Ferejohn, counter to the models' predictions. Regressions using the experimental data provide results similar to the field data, but fail to do so once one accounts for predictions regarding coalition composition under Gamson's Law.     

Opacity in bargaining over public good provision

We consider ultimatum bargaining over the provision of a public good. Offer-maker and responder can delegate their decisions to agents whose actual decision rules are opaque. We show that the responder will benefit from strategic opacity, even with bilateral delegation. The incomplete information created by strategic opacity choices does not lead to inefficient negotiation failure in equilibrium. Inefficiencies arise from an inefficient provision level. While an agreement will always be reached, the public good provision will fall short of the socially desirable level. Compared with unilateral delegation, bilateral delegation is never worse from a welfare perspective.     

Is the Efficiency Wage Efficient? The Social Norm and Organizational Corruption

The effectiveness of efficiency wage incentives is often jeopardized by perverse organizational corruption. We model organizational corruption as a phenomenon of social interaction and relate the substantial psychological role characterizing the social norm to the corruption problem. We find that if the status quo bribery rate within the firm is high, social norms can no longer serve as a sufficient sanction against a corrupt supervisor; pandemic organizational corruption tends to generate a critical mass effect—the snowball effect—which intensifies the corruption effect. This intensified effect, due to the snowballing character of social norms, may more than offset the usual incentive effect of wages, resulting in more widespread shirking in the firm.
JEL classification : D 82; J 41     

Waiting to settle: Multilateral bargaining with subjective biases

We study multilateral bargaining games where agents disagree over their bargaining power. We show that if agents are extremely optimistic, there may be costly delays in an arbitrarily long finite game but if optimism is moderate, all sufficiently long games end in immediate agreement. We show that the game with extreme optimism is highly unstable in the finite-horizon, and we examine the ramifications of this instability on the infinite-horizon problem. Finally, we consider other voting rules, and show that the majority-rule may be more efficient than the unanimity rule when agents are optimistic.     

Bargaining, binding contracts, and competitive wages

In a model where many workers bargain with one firm and sign binding contracts, we show existence of a stationary subgame perfect equilibrium. If the production function satisfies decreasing returns, each worker receives a share of his marginal product (treating all other workers as employed) in equilibrium. Thus, wages are competitive. This is in contrast to Stole and Zweibel (1996, Rev. Econ. Stud. 63, 375–410), who assume that contracts are non-binding and find that the payoff of a worker is a weighted average of the inframarginal contributions. Hence, binding contracts imply lower wages than non-binding contracts.     

Efficient bargaining with underutilization of labor

The standard efficient contract involving a monopolistic firm and a union has always been derived under the assumption that the firm operates efficiently, i.e., it fully uses its labor force. However, nothing constrains the firm to do so and production with underutilization of labor may occur. The implications of ignoring that possibility and the conditions under which underutilization effectively occurs are studied in this paper.     

Secrecy and fairness in plea bargaining with multiple defendants

I consider a model of plea bargaining with multiple codefendants. I mainly compare the equilibrium outcomes under joint negotiations whereby both defendants can observe both plea offers and under separate (secret) negotiations whereby they can observe only their own respective offer. Contrary to the widespread perceptions, the prosecutor is made worse off under secret negotiations or at best as well off as under joint negotiations. I also discuss the implication of equilibrium offers on fairness.      

Union bargaining power, employment, and output in a model of monopolistic competition with wage bargaining

This paper examines the implications of a rise in the bargaining power of workers on the real wage, income distribution, and the levels of employment and output using a macroeconomic model with monopolistic competition and worker-owner Nash bargaining at the firm level. It thereby provides optimizing microfoundations to Kalecki's macroeconomic analysis of the positive effect on output of a rise in trade-union power, and contrasts it with the neoclassical view based on the diminishing marginal productivity of labor.     

Central Government versus private sector wages and cognitive skills: evidence using endogenous switching regression

The importance of estimation techniques that allow for nonrandom selection of workers into the public and private sectors has been established in the theoretical and empirical literature. A separate body of work has explored the contribution of cognitive and other basic skills to earnings. This article brings together these two strands of empirical literature using Adult Literacy and Lifeskills (ALL) survey data for Norway and Bermuda. In the case of Norway, results from both Ordinary Least Squares (OLS) and a switching regression model agree that cognitive skills are rewarded more in the public sector and that, in both sectors, the main effect is the direct effect of skills on earnings. In the case of Bermuda, however, switching regression estimates are substantially different with respect to the how skills affect earnings; furthermore, controlling for cognitive skills changes the nature of selection and, hence, the estimates of sector wage differentials.