Fuzzy Equilibria for Games Involving n > 2 Players

Generative relations represent a powerful algebraic tool for characterizing and detecting game equilibria. Generative relations are particularly useful for defining new classes of equilibria, for example joint equilibria. In order to avoid difficulties for games involving many players (n >= 2) a new generative relation for fuzzy Nash-Pareto equilibrium is introduced. An evolutionary procedure relying on this generative relation is used for detecting several types of fuzzy equilibria. Experimental results indicate the effectiveness and robustness of the proposed approach.