Bimatrix games in necessity space

Abstract

A model fuzzy bi-matrix games is established in necessity space. Precisely, this article introduces the necessity measures and presentes the necessity space based on the axiom of the necessity measures. Fuzzy events are investigated and the expected value of the fuzzy variables is given in necessity space. Then, we establish an expected model of fuzzy bi-matrix games and define the expected value Nash equilibrium strategy for it. Furthermore, its Nash equilibrium strategy is found by solving a linear equation problem.