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A Direct Algorithm for Computing Nash Equilibriums

Journal: International Journal of Computer Science and Artificial Intelligence (Vol.3, No. 2)

Publication Date:

Authors : ;

Page : 80-86

Keywords : Two-Person General-Sum Game; Mixed Nash Equilibrium; Expected Average Payoff; Linguistic Variable; The Fuzzy Average; Triangular Fuzzy Number; Consequence Matrix;

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This paper describes a relationship between the expected average payoffs of a two-person general-sum game and the fuzzy average of two linguistic values. It is shown that the expected average payoff is identical to the fuzzy average. A new algorithm for calculating mixed Nash equilibriums is introduced by using this concept. The new algorithm simplifies the process of finding mixed Nash equilibriums of two-person general-sum games to solving linear equations.

Last modified: 2013-08-15 19:14:51