A fuzzy approach to the prisoner's dilemma game using fuzzy expected value models

A game is a decision-making situation with many players, having objectives that partly or completely conflict with each other. The attitude of the players such as moral or philosophical motives, which are important in taking the optimal decision, are better modeled using fuzzy set theory. Prisoner's dilemma is important in the study of game theory because the payoff structure associated with it arises in various strategic situations in real life. Therefore it is important to consider prisoner's dilemma under the framework of fuzzy models. In this paper the idea of the expected value of a fuzzy variable is used as a tool to analyze a fuzzy approach to the prisoner's dilemma game and some useful conclusions are reached regarding the selection of optimal strategies.