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http://dx.doi.org/10.4134/BKMS.2012.49.6.1251

NOTE ON PURE-STRATEGY NASH EQUILIBRIA IN MATRIX GAMES  

Ma, Weidong (Institute of Applied Mathematics AMSS Chinese Academy of Sciences)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1251-1254 More about this Journal
Abstract
Pure-strategy Nash Equilibrium (NE) is one of the most important concepts in game theory. Tae-Hwan Yoon and O-Hun Kwon gave a "sufficient condition" for the existence of pure-strategy NEs in matrix games [5]. They also claimed that the condition was necessary for the existence of pure-strategy NEs in undominated matrix games. In this short note, we show that these claims are not true by giving two examples.
Keywords
pure-strategy equilibrium; matrix game; saddle point;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 D. Fudenberg and J. Tirole, Game Theory, The MIT Press, 1992.
2 J. Nash, Non-cooperative games, Ann. of Math. (2) 54 (1951), 289-295.
3 G. Owen, Game Theory, Academic Press, 1982.
4 J. H. Wang, The Theory of Games, TsingHua University Press, 1988.
5 T. Yoon and O. Kwon, On pure-strategy equilibria in matrix games, Bull. Korean Math. Soc. 37 (2000), no. 2, 377-385.   과학기술학회마을