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

S Rachmilevitch

doi:10.1007/s40505-022-00238-y

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

S Rachmilevitch

Department of Economics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	65-68
Number of pages	4
Journal	Economic Theory Bulletin
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/s40505-022-00238-y
State	Published - 2023

Bibliographical note

Times Cited in Web of Science Core Collection: 0 Total Times Cited: 0 Cited Reference Count: 8

Keywords

Symmetry
Symmetric equilibrium
EXISTENCE

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10.1007/s40505-022-00238-y

Cite this

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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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KW - Symmetric equilibrium

KW - EXISTENCE

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

Abstract

Bibliographical note

Keywords

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