A note on assignment games with the same nucleolus

We show that the family of assignment matrices which give rise to the same nucleolus forms a compact join-semilattice with one maximal element. The above family is in general not a convex set, but path-connected.

Detalhes bibliográficos
Autores: Martínez de Albéniz, F. Javier, Rafels, Carles, Ybern, Neus
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Recursos: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:2445/136377
Acesso em linha:https://hdl.handle.net/2445/136377
Access Level:acceso abierto
Palavra-chave:Teoria de jocs
Assignació de recursos
Matemàtica financera
Game theory
Resource allocation
Business mathematics
Descrição
Resumo:We show that the family of assignment matrices which give rise to the same nucleolus forms a compact join-semilattice with one maximal element. The above family is in general not a convex set, but path-connected.