A general procedure to compute mixed modified semivalues for cooperative games with structure of coalition blocks |
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| Authors: | Rafael Amer Jos Miguel Gimnez |
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| Institution: | aDepartment of Applied Mathematics II, Industrial and Aeronautics Engineering School of Terrassa, Technical University of Catalonia, Spain;bDepartment of Applied Mathematics III, Engineering School of Manresa, Technical University of Catalonia, Spain |
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| Abstract: | Semivalues are solution concepts for cooperative games that assign to each player a weighted sum of his/her marginal contributions to the coalitions, where the weights only depend on the coalition size. The Shapley value and the Banzhaf value are semivalues. Mixed modified semivalues are solutions for cooperative games when we consider a priori coalition blocks in the player set. For all these solutions, a computational procedure is offered in this paper. |
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| Keywords: | Cooperative game Solution Semivalue Coalition structure Multilinear function |
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