Informes (Matemática Aplicada II)

URI permanente para esta colecciónhttps://hdl.handle.net/11441/72248

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    Games on concept lattices: Shapley value and core
    (Elsevier, 2015) Faigle, Ulrich; Grabisch, Michel; Jiménez Losada, Andrés; Ordóñez Sánchez, Manuel; Universidad de Sevilla. Departamento de Matemática Aplicada II; Agence Nationale de la Recherche. France
    We introduce cooperative TU-games on concept lattices, where a concept is a pair (S, S′ ) with S being a subset of players or objects, and S ′ a subset of attributes. Any such game induces a game on the set of players/objects, which appears to be a TU-game whose collection of feasible coalitions is a lattice closed under intersection, and a game on the set of attributes. We propose a Shapley value for each type of game, axiomatize it, and investigate the geometrical properties of the core (nonemptiness, boundedness, pointedness, extremal rays).