Abstract

Owen value is an important solution concept in cooperative games with coalition structure, which can be seen as the extension of Shapley value. Spired by the approach to measure the interaction among players in crisp cooperative game, in this paper, the Shapley index of interation among players in games with coalition structure is proposed. This index can be viewed as the extension of Owen value. Furthermore, the properties of the Shapley index of interaction in game with coalition structure are discussed.

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