Nash and Correlated Equilibria: Some Complexity Considerations
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.
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|Date of creation:||1989|
|Publication status:||Published in Games and Economic Behavior, Elsevier, 1989, vol. 1, pp. 80-93. <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|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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- Aumann, Robert J., 1974.
"Subjectivity and correlation in randomized strategies,"
Journal of Mathematical Economics,
Elsevier, vol. 1(1), pages 67-96, March.
- AUMANN, Robert J., "undated". "Subjectivity and correlation in randomized strategies," CORE Discussion Papers RP 167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
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