A Fuzzy Approach to Strategic Games Using Fuzzy Expected Value Models

摘要

A game is a decision-making situation with many players, having objectives that partly or completely conflict with each other. The players involved in the game usually make their decisions under conditions of risk or uncertainty. Therefore, it is appropriate to apply fuzzy approaches to the field of game theory. Recently, a static fuzzy approach to strategic games was proposed by Song and Kandel [1]. It is found that the computation of optimal strategies is a difficult task using this approach. Expected value of a fuzzy variable introduced by B. Liu and K. Liu [18] is a novel idea with properties that simplify general decision-making in a fuzzy environment. In this paper the fuzzy approach to strategic games is remodeled using fuzzy expected value models. Using this method, it is shown that more meaningful conclusions regarding the selection of optimal strategies are possible for the famous "prisoner's dilemma" problem.