A cooperative location game based on the 1-center location problem
In this paper we introduce and analyze new classes of cooperative games related to facility location models defined on general metric spaces. The players are the customers (demand points) in the location problem and the characteristic value of a coalition is the cost of serving its members. Specific...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/56506 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/56506 |
| Access Level: | acceso abierto |
| Palabra clave: | Cooperative combinatorial games Core solutions Diameter Radius Characteristic value Combinatorial game Cooperative game Edge length Facility location models Finite metric spaces Location problems Metric spaces Network space Polynomial representations Undirected graph Facilities Game theory Set theory Topology Location ESTADISTICA E INVESTIGACION OPERATIVA |
| Sumario: | In this paper we introduce and analyze new classes of cooperative games related to facility location models defined on general metric spaces. The players are the customers (demand points) in the location problem and the characteristic value of a coalition is the cost of serving its members. Specifically, the cost in our games is the service radius of the coalition. We call these games the Minimum Radius Location Games (MRLG). We study the existence of core allocations and the existence of polynomial representations of the cores of these games, focusing on network spaces, i.e., finite metric spaces induced by undirected graphs and positive edge lengths, and on the ¿ p metric spaces defined over R d. © 2011 Elsevier B.V. All rights reserved. |
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