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Nash and Correlated Equilibria: Some Complexity Considerations

Author

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  • Itzhak Gilboa

    (Northwestern University [Evanston])

  • Eitan Zemel

    (Northwestern University [Evanston])

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.

Suggested Citation

  • Itzhak Gilboa & Eitan Zemel, 1989. "Nash and Correlated Equilibria: Some Complexity Considerations," Post-Print hal-00753241, HAL.
  • Handle: RePEc:hal:journl:hal-00753241
    DOI: 10.1016/0899-8256(89)90006-7
    Note: View the original document on HAL open archive server: https://hal-hec.archives-ouvertes.fr/hal-00753241
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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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