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Further results on essential Nash equilibria in normal-form games

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  • Oriol Carbonell-Nicolau

Abstract

A Nash equilibrium $$x$$ x of a normal-form game $$G$$ G is essential if any perturbation of $$G$$ G has an equilibrium close to $$x$$ x . Using payoff perturbations, we identify a new collection of games containing a dense, residual subset of games whose Nash equilibria are all essential. This collection covers economic examples that cannot be handled by extant results and subsumes the sets of games considered in the literature. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Oriol Carbonell-Nicolau, 2015. "Further results on essential Nash equilibria in normal-form games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 277-300, June.
    • Handle: RePEc:spr:joecth:v:59:y:2015:i:2:p:277-300
    DOI: 10.1007/s00199-014-0829-8
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    References listed on IDEAS

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    Cited by:

    1. Carbonell-Nicolau, Oriol & Wohl, Nathan, 2018. "Essential equilibrium in normal-form games with perturbed actions and payoffs," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 108-115.
    2. Vincenzo Scalzo, 2016. "Remarks on the existence and stability of some relaxed Nash equilibrium in strategic form games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 571-586, March.

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    More about this item

    Keywords

    Infinite normal-form game; Equilibrium refinement; Essential equilibrium; Equilibrium existence; Continuous security; C72;
    All these keywords.

    JEL classification:

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

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