Fuzzy matrix game perspective for problems of cooperation, non-cooperation, and conflicts

Abstract

In societal applications of systems science where competition under conflicting interests is pertinent to, the decision making faces situations in which one must decide whether to cooperate or not with a competitor or opponent. Each of the opponents (‘players’) has as well as carries own missions within the society out. At least two if not more parties need to make decisions under fully or partially conflicting objectives when involved in a dispute or open conflict. By and large decisions must be made under risk, uncertainty, and incomplete or fuzzy information implying large amounts of linguistic and probabilistic information. For cases of two opponents, the synergy of fuzzy control approach and matrix games seems rather effective to represent and find solutions for such multi-criteria conflicting situations. The fuzzy procedure is used to take into account some of the subjective attitudes of the decision makers that are difficult to model using classical game theory.