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The complexity of computing a (quasi-)perfect equilibrium for an n-player extensive form game

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  • Etessami, Kousha

Abstract

We study the complexity of computing or approximating refinements of Nash equilibrium for finite n-player extensive form games of perfect recall (EFGPR), n≥3. Our results apply to a number of well-studied refinements, including sequential equilibrium, extensive-form perfect equilibrium, and quasi-perfect equilibrium.

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  • Etessami, Kousha, 2021. "The complexity of computing a (quasi-)perfect equilibrium for an n-player extensive form game," Games and Economic Behavior, Elsevier, vol. 125(C), pages 107-140.
    • Handle: RePEc:eee:gamebe:v:125:y:2021:i:c:p:107-140
    DOI: 10.1016/j.geb.2019.03.006
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    2. Cao, Yiyin & Dang, Chuangyin, 2022. "A variant of Harsanyi's tracing procedures to select a perfect equilibrium in normal form games," Games and Economic Behavior, Elsevier, vol. 134(C), pages 127-150.

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    More about this item

    Keywords

    Extensive form game; Perfect equilibrium; Quasi-perfect equilibrium; Algorithms; Computational complexity;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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