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Symmetric games with only asymmetric equilibria: examples with continuous payoff functions

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  • Shiran Rachmilevitch

    (University of Haifa)

Abstract

I construct examples of symmetric 2-person games that have Nash equilibria, but no symmetric Nash equilibria (not even in mixed strategies). Such an example was first constructed by Fey (Games Econ Behav 75: 424–427, 2012). In his example, the actions set is compact and the payoff function is discontinuous. Here, by contrast, payoff functions are continuous, but the actions sets are not compact.

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  • Shiran Rachmilevitch, 2023. "Symmetric games with only asymmetric equilibria: examples with continuous payoff functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 65-68, April.
    • Handle: RePEc:spr:etbull:v:11:y:2023:i:1:d:10.1007_s40505-022-00238-y
    DOI: 10.1007/s40505-022-00238-y
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    References listed on IDEAS

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    Symmetry; Symmetric equilibrium;

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