Cooperative assignment games with the inverse Monge property

We study inverse-Monge assignment games, namely cooperative assignment games in which the assignment matrix satisfies the inverse-Monge property. For square inverse-Monge assignment games, we describe their cores and we obtain a closed formula for the buyers-optimal and the sellers-optimal core allo...

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Detalles Bibliográficos
Autores: Martínez de Albéniz, F. Javier, Rafels, Carles
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2014
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/104406
Acceso en línea:https://hdl.handle.net/2445/104406
Access Level:acceso abierto
Palabra clave:Funcions de variables reals
Assignació de recursos
Matemàtica financera
Teoria de jocs
Functions of real variables
Resource allocation
Business mathematics
Game theory
Descripción
Sumario:We study inverse-Monge assignment games, namely cooperative assignment games in which the assignment matrix satisfies the inverse-Monge property. For square inverse-Monge assignment games, we describe their cores and we obtain a closed formula for the buyers-optimal and the sellers-optimal core allocations. We also apply the above results to solve the non-square case.