Abstract

In this paper, lexicographical solution concepts in an n-person cooperative game with multiple scenarios are considered. A characteristic function of the n-person cooperative game with multiple scenarios associates a subset of the set of all the players with its real vector value. Fuzziness, uncertainty or risk is incorporated in the cooperative games, and especially, we examine the cooperative games in which the values of the coalitions have discrete distributions. In such games, the nucleolus and its related lexicographical solutions are defined and the computational methods for obtaining the solutions are developed.Key wordscooperative gamemultiple scenarioslexicographical solutionthe nucleolusfuzzy coalition

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