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A method of solution of antagonistic games in violation of a common knowledge principle is described, wherein players have incomplete knowledge of possible solutions and appropriate outcomes for the opposite side. As a formal model of for a game situation, it is proposed to use a fuzzy-multiple representation of estimates of the possibilities of using players’ strategies and the corresponding consequences. The solution for this problem is based on the transformation of the fuzzy estimates of the results of possible solutions for each situation in the form of an equivalent fuzzy set that has a triangular membership function. The developed method does not impose restrictions on the affiliation functions of the initial fuzzy data. In addition to the selection of the best solution, an estimation of the result and the degree of feasibility is obtained.
Vladimir Chernov (Fri,) studied this question.