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Coeur et nucléolus des jeux de recouvrement

Nicolas Preux;  Fatiha Bendali;  Jean Mailfert;  Alain Quilliot — 2010

RAIRO - Operations Research

A cooperative game is defined as a set of players and a cost function. The distribution of the whole cost between the players can be done using the core concept, that is the set of all undominated cost allocations which prevent players from grouping. In this paper we study a game whose cost function comes from the optimal solution of a linear integer covering problem. We give necessary and sufficient conditions for the core to be nonempty and characterize its allocations using linear programming...

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