Informe
Games on concept lattices: Shapley value and core
Autor/es | Faigle, Ulrich
Grabisch, Michel Jiménez Losada, Andrés Ordóñez Sánchez, Manuel |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Fecha de publicación | 2015 |
Fecha de depósito | 2016-11-29 |
Publicado en |
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Resumen | 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, ... 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). |
Agencias financiadoras | Agence Nationale de la Recherche. France |
Identificador del proyecto | ANR-13-BSHS1-0010 |
Cita | Faigle, U., Grabisch, M., Jiménez Losada, A. y Ordóñez Sánchez, M. (2015). Games on concept lattices: Shapley value and core. Documents de Travail du Centre d’Economie de la Sorbonne, 2014 (70) |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Games on concept lattices.pdf | 250.4Kb | [PDF] | Ver/ | |