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Perfect and proper equilibria in large games

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  • Sun, Xiang
  • Zeng, Yishu

Abstract

This paper studies pure strategy perfect and proper equilibria for games with non-atomic measure spaces of players and infinitely many actions. A richness condition (nowhere equivalence) on the measure space of players is shown to be both necessary and sufficient for the existence of such equilibria. The limit admissibility of perfect and proper equilibria is also proved.

Suggested Citation

  • Sun, Xiang & Zeng, Yishu, 2020. "Perfect and proper equilibria in large games," Games and Economic Behavior, Elsevier, vol. 119(C), pages 288-308.
    • Handle: RePEc:eee:gamebe:v:119:y:2020:i:c:p:288-308
    DOI: 10.1016/j.geb.2019.11.005
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    Cited by:

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    More about this item

    Keywords

    Condition of nowhere equivalence; Large game; Limit admissibility; Perfect equilibrium; Proper equilibrium;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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