Paper
A Direct Algorithm for Computing Nash Equilibriums
- Authors:
- Lunshan Gao
- Abstract
- 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.
- Keywords
- Two-Person General-Sum Game; Mixed Nash Equilibrium; Expected Average Payoff; Linguistic Variable; The Fuzzy Average; Triangular Fuzzy Number; Consequence Matrix
- StartPage
- 80
- EndPage
- 86
- Doi
- 10.5963/IJCSAI0302006