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The Computational Complexity of Nash Equilibria

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  • Rosenbaum, Janet

Abstract

Although the computation of Nash equlibria for general games is of unknown complexity, there exist many algorithms for specific game classes, some of which are a marked improvement of previous algorithms. This paper reviews general results on the computational complexity of Nash equilibria and discusses the major algorithms for specific game classes.

Suggested Citation

  • Rosenbaum, Janet, 2002. "The Computational Complexity of Nash Equilibria," SocArXiv h63mz, Center for Open Science.
    • Handle: RePEc:osf:socarx:h63mz
    DOI: 10.31219/osf.io/h63mz
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    References listed on IDEAS

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    1. Koller, Daphne & Megiddo, Nimrod, 1996. "Finding Mixed Strategies with Small Supports in Extensive Form Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 73-92.
    2. Kalai, Ehud & Stanford, William, 1988. "Finite Rationality and Interpersonal Complexity in Repeated Games," Econometrica, Econometric Society, vol. 56(2), pages 397-410, March.
    3. Koller, Daphne & Megiddo, Nimrod & von Stengel, Bernhard, 1996. "Efficient Computation of Equilibria for Extensive Two-Person Games," Games and Economic Behavior, Elsevier, vol. 14(2), pages 247-259, June.
    4. McKelvey, Richard D. & McLennan, Andrew, 1996. "Computation of equilibria in finite games," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 2, pages 87-142, Elsevier.
    5. Koller, Daphne & Megiddo, Nimrod, 1992. "The complexity of two-person zero-sum games in extensive form," Games and Economic Behavior, Elsevier, vol. 4(4), pages 528-552, October.
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