A Direct Algorithm for Computing Nash Equilibriums

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.