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ORCID: https://orcid.org/0000-0001-5043-6417, López González, M. Dolores
ORCID: https://orcid.org/0000-0002-9974-7918, Rodrigo Hitos, Javier and Lillo Villalobos, Isabel
(2011).
Weak Equilibrium in a Spatial Model.
"International Journal of Game Theory"
;
ISSN 0020-7276.
https://doi.org/10.1007/s00182-010-0241-y.
| Título: | Weak Equilibrium in a Spatial Model |
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| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | International Journal of Game Theory |
| Fecha: | 2011 |
| ISSN: | 0020-7276 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Nash equilibrium - Computational geometry - Game theory - Location |
| Escuela: | E.T.S.I. Caminos, Canales y Puertos (UPM) |
| Departamento: | Matemática e Informática Aplicadas a la Ingeniería Civil [hasta 2014] |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
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Spatial models of two-player competition in spaces with more than one dimension almost never have pure-strategy Nash equilibria, and the study of the equilibrium positions, if they exist, yields a disappointing result: the two players must choose the same position to achieve equilibrium. In this work, a discrete game is proposed in which the existence of Nash equilibria is studied using a geometric argument. This includes a definition of equilibrium which is weaker than the classical one to avoid the uniqueness of the equilibrium position. As a result, a “region of equilibrium” appears, which can be located by geometric methods. In this area, the players can move around in an “almost-equilibrium” situation and do not necessarily have to adopt the same position.
| ID de Registro: | 6739 |
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| Identificador DC: | https://oa.upm.es/6739/ |
| Identificador OAI: | oai:oa.upm.es:6739 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/578886 |
| Identificador DOI: | 10.1007/s00182-010-0241-y |
| URL Oficial: | http://www.springerlink.com/content/v126228207171p... |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 29 Abr 2011 09:14 |
| Ultima Modificación: | 12 Nov 2025 00:00 |
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