On pure-strategy equilibria in matrix games

Tae-Hwan Yoon; O-Hun Kwon

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Bull. Korean Math. Soc. 2000; 37(2): 377-385

Printed June 1, 2000

On pure-strategy equilibria in matrix games

Tae-Hwan Yoon and O-Hun Kwon

Korea University, Korea University

Abstract

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Abstract

In this paper we find a sufficient condition to guarantee the existence of pure-strategy equilibria in matrix games. In the process of formulating our condition, the alternative theorem of Farkas is used. The formulated condition is necessary and sufficient to the existence of pure-strategy equilibria in undominated matrix games.

Keywords: matrix game, equilibrium, Farkas' theorem

MSC numbers: 91A05