Externalities and the (Pre)nucleolus in Cooperative Games

In most economic applications of cooperative games, externalities prevail: the worth of a coalition depends on how the other players are organized. We show that there is a unique natural way of extending the prenucleolus to games with coalitional externalities. This is in contrast to the Shapley val...

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Detalles Bibliográficos
Autores: Álvarez-Mozos, Mikel, Ehlers, Lars
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2024
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/207069
Acceso en línea:https://hdl.handle.net/2445/207069
Access Level:acceso abierto
Palabra clave:Jocs cooperatius (Matemàtica)
Estadística matemàtica
Geometria algebraica
Teoria d'operadors
Cooperative games (Mathematics)
Mathematical statistics
Algebraic geometry
Operator theory
Descripción
Sumario:In most economic applications of cooperative games, externalities prevail: the worth of a coalition depends on how the other players are organized. We show that there is a unique natural way of extending the prenucleolus to games with coalitional externalities. This is in contrast to the Shapley value and the core for which many different extensions have been proposed.