Bimatrix Games on Possibility Space

The aim of the paper is to establish a new model of equivalent strategy for fuzzy bi-matrix games. Precisely, we introduced the possibility measures and presented the possibility space based on the axiom of the possibility measures. The expected value of the fuzzy variables was given in possibility 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.