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An elementary axiomatization of the Nash equilibrium concept
Working paper   Open access

An elementary axiomatization of the Nash equilibrium concept

Mark Voorneveld
1, pp.1-11
SSE Working Paper Series in Economics, 2019:1, Stockholm School of Economics Department of Economics SSE
2019

Abstract

Nash equilibrium axiomatization solution concept C72
For strategic games, the Nash equilibrium concept is axiomatized using three properties: (i) if the difference between two games is `strategically irrelevant', then their solutions are the same; (ii) if a player has a strategy with a constant payoff, this player need not settle for less in any solution of the game; (iii) if all players agree that a certain strategy profile is optimal, then this strategy profile is a solution of the game.
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