Computing Nash equilibria through computational intelligence methods

Pavlidis, Nicos and Parsopoulos, Kostantinos E. and Vrahatis, Michael N. (2005) Computing Nash equilibria through computational intelligence methods. Journal of Computational and Applied Mathematics, 175 (1). pp. 113-136. ISSN 0377-0427

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Nash equilibrium constitutes a central solution concept in game theory. The task of detecting the Nash equilibria of a finite strategic game remains a challenging problem up-to-date. This paper investigates the effectiveness of three computational intelligence techniques, namely, covariance matrix adaptation evolution strategies, particle swarm optimization, as well as, differential evolution, to compute Nash equilibria of finite strategic games, as global minima of a real-valued, nonnegative function. An issue of particular interest is to detect more than one Nash equilibria of a game. The performance of the considered computational intelligence methods on this problem is investigated using multistart and deflection.

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Journal Article
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Journal of Computational and Applied Mathematics
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09 Nov 2011 14:08
Last Modified:
21 Nov 2022 21:50