Bimatrix Games on Credibility Space

摘要

The aim of the paper is to establish a new model of equivalent strategy for fuzzy bi-matrix games. Precisely, we introduced the credibility measures and presented the credibility space based on the axiom of the credibility measures. Some basic characteristics of fuzzy events were investigated and the expected value of the fuzzy variables was given in credibility space. Then, we established an expected model of fuzzy bi-matrix games and defined the expected value Nash equilibrium strategy of fuzzy bi-matrix games. Furthermore, we determined the Nash equilibrium strategy of the fuzzy bi-matrix games through solving linear equations.