An axiomatization of the nucleolus of assignment markets

On the domain of two-sided assignment markets with agents' reservation values, the nucleolus is axiomatized as the unique solution that satisfies consistency with respect to Owen's reduced game and symmetry of maximum complaints of the two sides. As an adjunt, we obtain a geometric charact...

Descripción completa

Detalles Bibliográficos
Autores: Llerena Garrés, Francesc, Núñez, Marina (Núñez Oliva), Rafels, Carles
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2015
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:2445/106690
Acceso en línea:https://hdl.handle.net/2445/106690
Access Level:acceso abierto
Palabra clave:Teoria de jocs
Teoria de conjunts
Lògica matemàtica
Presa de decisions
Game theory
Set theory
Mathematical logic
Decision making
Descripción
Sumario:On the domain of two-sided assignment markets with agents' reservation values, the nucleolus is axiomatized as the unique solution that satisfies consistency with respect to Owen's reduced game and symmetry of maximum complaints of the two sides. As an adjunt, we obtain a geometric characterization of the nucleolus by means of a strong form of the bisection property that characterizes the intersection between the core and the kernel of a coalitional game in Maschler et al. (1979)