Correlated equilibria, incomplete information and coalitional deviations

This paper proposes new concepts of strong and coalition-proof correlated equilibria where agents form coalitions at the interim stage and share information about their recommendations in a credible way. When players deviate at the interim stage, coalition-proof correlated equilibria may fail to exist for two-player games. However, coalition-proof correlated equilibria always exist in dominance-solvable games and in games with positive externalities and binary actions

Correlated Equilibria, Incomplete Information and Coalitional Deviations

This paper proposes new concepts of strong and coalition-proof correlated equilibria where agents form coalitions at the interim stage and share information about their recommendations in a credible way. When players deviate at the interim stage, coalition-proof correlated equilibria may fail to exist for two-player games. However, coalition- proof correlated equilibria always exist in dominance-solvable games and in games with positive externalities and binary actions.correlated equilibrium ; coalitions ; information sharing ; games with positive externalities

Negotiation-proof correlated equilibrium

This article characterizes the set of correlated equilibria that result from open negotiations, which players make prior to playing a strategic game. A negotiation-proof correlated equilibrium is defined as a correlated strategy in which the negotiation process among all of the players prevents the formation of any improving coalitional deviation. Additionally, this notion of equilibrium is adapted to general games with incomplete information.Correlated equilibrium, coalitions, negotiation, incomplete information

Mechanism design with partially-specified participation games

This paper considers the implementation of an economic outcome under complete information when the strategic and informational details of the participation game are partially-specified. This means that full participation is required to be a subgame-perfect equilibrium for a large variety of extensive modifications of the simultaneous-move participation game in the same vein as Kalai [Large Robust Games, Econometrica 72 (2004) 1631-1665].mechanism design ; robust implementation ; strong Nash equilibrium ; partial subgame perfection ; collusion on participation

INFORMATION TRANSMISSION IN COALITIONAL VOTING GAMES

A core allocation of a complete information economy can be characterized as one that would not be unanimously rejected in favor of another feasible alternative by any coalition. We use this test of coalitional voting in an incomplete information environment to formalize a notion of resilience. Since information transmission is implicit in the Bayesian equilibria of such voting games, this approach makes it possible to derive core concepts in which the transmission of information among members of a coalition is endogenous. Our results lend support to the credible core of Dutta and Vohra [4] and the core proposed by Myerson [11] as two that can be justified in terms of coalitional voting

Information transmission in coalitional voting games

A core allocation of a complete information economy can be characterized as one that would not be unanimously rejected in favor of another feasible alternative by any coalition. We use this test of coalitional voting in an incomplete information environment to formalize a notion of resilience. Since information transmission is implicit in the Bayesian equilibria of such voting games, this approach makes it possible to derive core concepts in which the transmission of information among members of a coalition is endogenous. Our results lend support to the credible core of Dutta and Vohra [4] and the core proposed by Myerson [11] as two that can be justified in terms of coalitional votin

Information Transmission in Coalitional Voting Games

A core allocation of a complete information economy can be characterized as one that would not be unanimously rejected in favor of another feasible alternative by any coalition. We use this test of coalitional voting in an incomplete information environment to formalize a notion of resilience. Since information transmission is implicit in the Bayesian equilibria of such voting games, this approach makes it possible to derive core concepts in which the transmission of information among members of a coalition is endogenous. Our results lend support to the credible core of Dutta and Vohra (2003) and the core proposed by Myerson (2003) as two that can be justified in terms of coalitional voting.Core, Incomplete Information, Coalitional Voting, Resilience, Mediation

Stability and Bayesian Consistency in Two-Sided Markets

We propose a criterion of stability for two-sided markets with asymmetric information. A central idea is to formulate matching functions, off-path beliefs conditional on counterfactual pairwise deviations, and on-path beliefs in the absence of such deviations. A matching-belief configuration is stable if the matching is individually rational with respect to the system of on-path beliefs and is not blocked with respect to the system of off-path beliefs. The formulation provides a language for assessing matching outcomes with respect to their supporting beliefs and opens the door to further belief-based refinements. The main refinement analyzed in the paper requires the Bayesian consistency of on-path and off-path beliefs with prior beliefs. We also define concepts of Bayesian efficiency, the rational expectations competitive equilibrium, and the core. Their contrast with pairwise stability manifests the role of information asymmetry in matching formation