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The single deviation property in games with discontinuous payoffs

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  • Pavlo Prokopovych

Abstract

We study equilibrium existence in normal form games in which it is possible to associate with each nonequilibrium point an open neighborhood, a set of players, and a collection of deviation strategies, such that at any nonequilibrium point of the neighborhood, a player from the set can increase her payoff by switching to the deviation strategy designated for her. An equilibrium existence theorem for compact, quasiconcave games with two players is established as an application of a general equilibrium existence result for qualitative games. A new form of the better-reply security condition, called the strong single deviation property, is proposed. Copyright Springer-Verlag 2013

Suggested Citation

  • Pavlo Prokopovych, 2013. "The single deviation property in games with discontinuous payoffs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 383-402, June.
    • Handle: RePEc:spr:joecth:v:53:y:2013:i:2:p:383-402
    DOI: 10.1007/s00199-012-0696-0
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    References listed on IDEAS

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    More about this item

    Keywords

    Better-reply secure game; Discontinuous game; Single deviation property; Majorized correspondence; Qualitative game; C65; C72;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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