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Nash and correlated equilibria: Some complexity considerations

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  • Gilboa, Itzhak
  • Zemel, Eitan

Abstract

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.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

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  • Gilboa, Itzhak & Zemel, Eitan, 1989. "Nash and correlated equilibria: Some complexity considerations," Games and Economic Behavior, Elsevier, vol. 1(1), pages 80-93, March.
    • Handle: RePEc:eee:gamebe:v:1:y:1989:i:1:p:80-93
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    References listed on IDEAS

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    1. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
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