Ordinally symmetric games

Published: 01 Jan 2019, Last Modified: 20 Jul 2024Oper. Res. Lett. 2019EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: We extend the notion of an ordinally symmetric game of Osborne and Rubinstein (1994) from two to n players. We prove that each ordinally symmetric game with two strategies is an ordinal potential game and thus possesses a pure strategy Nash equilibrium, generalizing a result of Hofbauer and Sorger (2002) on symmetric games.
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