Nash and Correlated Equilibria: Some Complexity Considerations - HEC Paris - École des hautes études commerciales de Paris Accéder directement au contenu
Article Dans Une Revue Games and Economic Behavior Année : 1989

Nash and Correlated Equilibria: Some Complexity Considerations

Résumé

This paper deals with the complexity of computing Nash and correlated equilibria for a finite game in normal form. We examine the problems of checking the existence of equilibria satisfying a certain condition, such as "Given a game G and a number r, is there a Nash (correlated) equilibrium of G in which all players obtain an expected payoff of at least r?" or "Is there a unique Nash (correlated) equilibrium in G?" etc. We show that such problems are typically "hard" (NP-hard) for Nash equilibria but "easy" (polynomial) for correlated equilibria.

Dates et versions

hal-00753241 , version 1 (18-11-2012)

Identifiants

Citer

Itzhak Gilboa, Eitan Zemel. Nash and Correlated Equilibria: Some Complexity Considerations. Games and Economic Behavior, 1989, vol. 1, pp. 80-93. ⟨10.1016/0899-8256(89)90006-7⟩. ⟨hal-00753241⟩

Collections

HEC
74 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More