Cooperation among agents with a proximity relation

A cooperative game consists of a set of players and a characteristic function determining the maximal gain or minimal cost that every subset of players can achieve when they decide to cooperate, regardless of the actions that the other players take. The relationships of closeness among the players s...

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Detalles Bibliográficos
Autores: Fernández García, Julio R., Gallego Sánchez, Inés Magdalena, Jiménez Losada, Andrés, Ordóñez Sánchez, Manuel, Andrés Jiménez-Losada (Coordinador)
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/161630
Acceso en línea:https://hdl.handle.net/11441/161630
https://doi.org/10.1016/j.ejor.2015.09.029
Access Level:acceso abierto
Palabra clave:cooperative game, fuzzy relations, proximity relations, Choquet integral, Shapley value, Owen value
Cooperative game
Fuzzy relations
Proximity relations
Choquet integral
Shapley value
Owen value
Descripción
Sumario:A cooperative game consists of a set of players and a characteristic function determining the maximal gain or minimal cost that every subset of players can achieve when they decide to cooperate, regardless of the actions that the other players take. The relationships of closeness among the players should modify the bargaining among them and therefore their payoffs. The first models that have studied this closeness used a priori unions or undirected graphs. In the a priori union model a partition of the big coalition is supposed. Each element of the partition represents a group of players with the same interests. The groups negotiate among them to form the grand coalition and later, inside each one, players bargain among them. Now we propose to use proximity relations to represent leveled closeness of the interests among the players and extending the a priori unions model.