FINDING THE SET OF ALL NASH EQUILIBRIA OF A POLYMATRIX MIXED-STRATEGY GAME

Abstract

The method of intersection of best response mapping graphs is applied to determine the Nash equilibrium set of a finite mixedstrategy game. Results of a Wolfram language implementation of the method are presented. Appeared issues are highlighted, too.

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noncooperative game, polymatrix game, mixed strategy, Nash equilibrium set, best response mapping

Citation

UNGUREANU, V. Finding the set of all Nash equilibria of a polymatrix mixed-strategy game. In: The Fourth Conference of Mathematical Society of the Republic of Moldova dedicated to the centenary of V. Andrunachievici (1917-1997): Proceeding CMSM4, June28-July2, 2017. Ch.: CEP USM, 2017, pp. 451-454. ISBN 978-9975-71-915-5.

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