Von Neumann Publishing House Inc.Communications in Nonlinear Analysis(CNA)2371-79205120180429Nash equilibrium strategy for two-person zero-sum matrix games on credibility space17ENFatemehMadandarDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranSomayehHaghayeghiDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranIn this paper, firstly, we obtain the credibility measure of fuzzy trapezoidal variables. Also, we attain the
expected value of fuzzy trapezoidal variables. Then, based on these theorems, we present the expected
value Nash equilibrium strategy of the fuzzy games. In other words we extend the expected model to fuzzy
trapezoidal variables and improve the previous researches in this area. However in some cases, the game
don't have the Nash equilibrium strategy. Therefore, we investigate the existence of Pareto Nash equilibrium
and weak Pareto Nash equilibrium strategies in this cases.http://vonneumann-publishing.com/cna/152/download-nash-equilibrium-strategy-for-two-person-zero-sum-matrix-games-on-credibility-space