José Miguel Giménez, Marı́a Albina Puente
Abstract
In this paper we focus on games with a coalition structure. Particularly, we deal with the Owen value, the coalitional value of the Shapley value, and we provide a computational procedure to calculate this coalitional value in terms of the multilinear extension of the original game.
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In this paper we focus on games with a coalition structure. Particularly, we deal with the Owen value, the coalitional value of the Shapley value, and we provide a computational procedure to calculate this coalitional value in terms of the multilinear extension of the original game.
Key concepts: Shapley value, Multilinear map, Extension (predicate logic), Value (mathematics), Focus (optics), Computer science, Mathematical economics, Game theory