A noncooperative approach to the Mas-Colell bargaining set

We propose an extensive form game to give a noncooperative interpretation of the Mas-Colell bargaining set for transferable utility games. Based on the objection and counterobjection in the sense of the Mas-Colell bargaining set, a bilateral negotiation is designed in our model. We show that the equilibrium outcomes of our extensive form game coincide with the Mas-Colell bargaining set in the supperadditive environments.     

The core of the inductive limit of a direct system of economies with a communication structure

This paper studies direct systems of finite, that is with finitely many agents, communication structures, finite (balanced and superadditive) NTU games and finite economies. The inductive limit of such a system is again a communication structure, an NTU game or an economy, this time possibly with infinitely many agents. As a matter of fact, each infinite communication structure, each infinite NTU game and each infinite economy, is the inductive limit of a direct system of finite communication structures, finite NTU games and finite economies. A communication game is an NTU game with a communication structure on the set of players. To each economy, there corresponds a balanced and superadditive NTU game. To each economy with a communication structure on the set of agents, there corresponds a communication game. In the paper it is proved that the core of the inductive limit of a direct system of communication games is not empty and in fact the intersection of the cores of the finite communication games of the direct system. It follows that each infinite economy (with or without a communication structure on the set of agents) has a nonempty core. A direct system of economies is a generalisation of the Debreu and Scarf [Debreu, G., Scarf, H. A limit theorem on the core of an economy, International Economic Review 4, pp. 235–246.] example of `replica economies'. The proof of the nonemptiness of the core of the inductive limit of a direct system of economies is along the lines of the proof by Debreu and Scarf. As by-product it is shown that an NTU game is totally balanced if and only if all its finite subgames are balanced.     

A non-cooperative interpretation of bargaining sets

This paper provides a non-cooperative interpretation for bargaining sets concepts in economic environments. We investigate the implementability of the Aumann-Maschler and Mas-Colell bargaining sets, and provide mechanisms whose subgame perfect equilibrium outcomes realize these sets. These mechanisms, in contrast to general mechanisms suggested in the implementation literature, have a natural structure closely related to that of the rationale underlying the bargaining sets. Furthermore, the strategy sets consist mainly of allocations and coalitions (thus avoiding any reference to preference parameters) and are finite dimensional. Received: 17 February 1997 / Accepted: 2 February 1999     

Implementing the nash extension bargaining solution for non-convex problems

Conley and Wilkie (1993) introduced an axiomatization at the Nash extension bargaining solution defined on a domain of comprehensive but not necessarily convex problems. In this paper we present a non-cooperative game which implements the Nash extension solution in subgame perfect equilibria in the limit as the discount rate applied between rounds of play vanishes.     

Strategic militancy and the probability of strikes in union-firm bargaining

The paper provides a model that explains the probability of strikes by the union's use of militancy as a strategic tool in bargaining. Militants are useful because they provide a credible threat, hence enhancing the union's bargaining position. Using a multi-stage bargaining game, we show that, in general, militants will be used by the union as a strategic tool. The strategic benefit of militancy is reflected by the fact that the wage and employment level will be higher in a union that uses militants, compared to a union that does not. We use the model to show that the level of militancy and the probability of a strike decrease with the union's power. This suggests that policies that increase the strength of the union will have, at least, a partial positive effect on social welfare. We also show that the model can be viewed as providing an equilibrium of a repeated game, an interpretation that can explain the probability of strikes even in the absence of militants.     

Negotiation games with unobservable mixed disagreement actions

A negotiation model combines an alternating offers bargaining game with a normal form stage game that determines players’ (interim) disagreement payoffs. Busch and Wen [Econometrica 63 (1995) 545] investigated this negotiation model under the assumption that players’ past mixed disagreement actions are observable. The question arises if this assumption is a substantial restriction. In this paper, we adopt the more plausible assumption that only the realizations of past mixed actions are observable, and find that the set of equilibrium payoffs shrinks, compared to that when mixed disagreement actions are observable. We precisely identify the effects of the unobservability and characterize the limiting set of equilibrium payoffs as the two players become sufficiently patient.     

Game theoretical analysis of wage bargaining in a simple business cycle model

We consider a simple business cycle model of the multiplier–accelerator type with an infinite time horizon. The result of present wage bargaining influences not only present incomes but also the future bargaining positions. Although the bargaining parties pursue long-run goals, they cannot commit themselves for more than one period. The solution concept combines the local application of Nash's bargaining theory with the idea of subgame consistency. It is shown that the game theoretic solution exists and is unique. There is a surprising similarity between extremely myopic and extremely far-sighted bargaining behavior.     

Coalition formation in general NTU games

A general nontransferable utility (NTU) game is interpreted as a collection of pure bargaining games that can be played by individual coalitions. The threatpoints or claims points respectively, in these pure bargaining games reflect the players' opportunities outside a given coalition. We develop a solution concept for general NTU games that is consistent in the sense that the players' outside opportunities are determined by the solution to a suitably defined reduced game. For any general NTU game the solution predicts which coalitions are formed and how the payoffs are distributed among the players.     

A note on van Damme's mechanism

We consider (two-person) bargaining games and we assume that the agents want to apply two possibly different bargaining solutions. A mechanism is a function which assigns an allocation to every bargaining game and every pair of bargaining solutions. Examining van Damme's mechanism (1986) from a cooperative point of view we see that it fails to satisfy Pareto-optimality. By modifying it we propose a new mechanism yielding the same conclusions as the original while enjoying some additional desirable properties. Received: 8 August 1998 / Accepted: 15 October 1998     

Stagnation proofness in n-agent bargaining problems

Journal of Economic Interaction and Coordination - Some bargaining solutions may remain unchanged under any extension of a bargaining set which does not affect the utopia point, despite the fact...     

Markov Perfect equilibria in repeated asynchronous choice games

This paper examines the issue of multiplicity of Markov Perfect equilibria in alternating move repeated games. Such games are canonical models of environments with repeated, asynchronous choices due to inertia or replacement. Our main result is that the number of Markov Perfect equilibria is generically finite with respect to stage game payoffs. This holds despite the fact that the stochastic game representation of the alternating move repeated game is “non-generic” in the larger space of state dependent payoffs. We further obtain that the set of completely mixed Markov Perfect equilibria is generically empty with respect to stage game payoffs.     

土地市场中开发商行贿的动态演化研究

采用数理方法和博弈理论,研究土地市场中开发商行贿的特点、条件及博弈路径。研究发现：（1）开发商行贿的博弈情形取决于参与者一开发商、官员的策略组合;（2）开发商行贿的博弈要素主要包括议价权和效用函数;（3）开发商行贿的博弈路径呈现出动态变化和均衡差异。由此认为开发商行贿基于反复的讨价还价,博弈要素的不同配置伴随着规划调整和商谈的进程,而且开发商行贿带有动态演化的特征,“知己知彼”的熟知程度和市场运行的发展态势从主观与客观方面决定了博弈的均衡状态。     

Equilibrium in abstract economies without ordered preferences

We extend a theorem of G. Debreu on the existence of equilibrium in a generalized N-person game (‘A Social Equilibrium Existence Theorem’). Applying standard techniques the result can be used to prove the existence of equilibrium in economies with interdependent preferences, price-dependent preferences and preferences which may be both non-transitive and non-complete. This generalizes a recent theorem of A. Mas-Colell.     

Wage Bargaining in Industries with Market Power

We develop a game-theoretic version of the right-to-manage model of firm-level bargaining where strategic interactions among firms are explicitly recognized. Our main aim is to investigate how equilibrium wages and employment react to changes in various labor and product market variables. We show that our comparative statics results hinge crucially on the strategic nature of the game, which in turn is determined by the relative bargaining power of unions and managers.     

Strategic trade policy with bargaining over managerial contracts

This paper re‐examines the well‐known activist regime's inefficiency (governments set export subsidies) in a sales–delegation game with owner–manager bargaining over contracts. Contrary to the received literature, this bargaining process may (a) induce governments to set a tax if products are not too substitute or complements and (b) lead to an efficient (inefficient) equilibrium provided that products are sufficiently differentiated (not too complements). Therefore, unilateral public intervention can be optimal: in case of rival governments' retaliation, under appropriate product competition degrees, welfares are larger than under free trade even for small managers' power. Thus, managerial delegation practices are crucial also for international trade issues.     

Bargaining over incentive contracts

The incentive contract theory assumes that the principal holds all of the bargaining power. By introducing alternating offers and strategic delay into the nonlinear pricing model, we relax this assumption and analyze an infinite-horizon contract bargaining game. We attain either the “sequential separating equilibrium” or the “simultaneous separating equilibrium”, depending on the parameter values. We prove the existence and the uniqueness of the equilibrium, and claim that multidimensionality and strategic delay can help resolve the multiple equilibria problem of bargaining theory. When the time between offers approaches zero, either quantity distortion or delay persists.     

Sequential bargaining with common values

We study the alternating-offers bargaining problem of assigning an indivisible and commonly valued object to one of two players who jointly own this object. The players are asymmetrically informed about the object’s value and have veto power over any settlement. There is no depreciation during the bargaining process which involves signalling of private information. We characterise the perfect Bayesian equilibrium outcome of this game which is unique if offers are required to be strictly increasing. Equilibrium agreement is reached gradually and non-deterministically. The better informed player obtains a rent.     

A bargaining set for roommate problems

Since stable matchings may not exist, we propose a weaker notion of stability based on the credibility of blocking pairs. We adopt the weak stability notion of Klijn and Massó (2003) for the marriage problem and we extend it to the roommate problem. We first show that although stable matchings may not exist, a weakly stable matching always exists in a roommate problem. Then, we adopt a solution concept based on the credibility of the deviations for the roommate problem: the bargaining set. We show that weak stability is not sufficient for a matching to be in the bargaining set. We generalize the coincidence result for marriage problems of Klijn and Massó (2003) between the bargaining set and the set of weakly stable and weakly efficient matchings to roommate problems. Finally, we prove that the bargaining set for roommate problems is always non-empty by making use of the coincidence result.     

A stochastic bargaining process for n-person games

A stochastic bargaining process for a cooperative n-person game is investigated. The bargaining consists of proposing a sequence of utility vectors each of which improves upon (blocks) the foregoing one. In this sequence the proposals are chosen according to a transition probability fulfilling some regularity conditions. It can be proved that almost every sequence converges to an imputation in the core of the game. Further, the probability of ending up in a neighborhood of the core converges quickly to one as the number of proposals goes to infinity.