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On pure-strategy Nash equilibria in large games

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  • Wu, Bin

Abstract

A general condition called “coarser traits” is introduced and shown to be necessary and sufficient for the idealized limit property of large games with traits. Moreover, we illustrate the minimality of the “coarser traits” condition by showing its necessity in deriving the existence of pure-strategy Nash equilibria in large games with traits.

Suggested Citation

  • Wu, Bin, 2022. "On pure-strategy Nash equilibria in large games," Games and Economic Behavior, Elsevier, vol. 132(C), pages 305-315.
    • Handle: RePEc:eee:gamebe:v:132:y:2022:i:c:p:305-315
    DOI: 10.1016/j.geb.2021.12.004
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    More about this item

    Keywords

    Large game with traits; Coarser traits; Idealized limit property; Nash equilibrium; Nowhere equivalence;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • 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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