Weak Equilibrium in a Spatial Model

Abellanas Oar, Manuel and López González, M. Dolores and 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.

Description

Title: Weak Equilibrium in a Spatial Model
Author/s:
  • Abellanas Oar, Manuel
  • López González, M. Dolores
  • Rodrigo Hitos, Javier
  • Lillo Villalobos, Isabel
Item Type: Article
Título de Revista/Publicación: International Journal of Game Theory
Date: 2011
ISSN: 0020-7276
Subjects:
Freetext Keywords: Nash equilibrium - Computational geometry - Game theory - Location
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Matemática e Informática Aplicadas a la Ingeniería Civil [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

More information

Item ID: 6739
DC Identifier: http://oa.upm.es/6739/
OAI Identifier: oai:oa.upm.es:6739
DOI: 10.1007/s00182-010-0241-y
Official URL: http://www.springerlink.com/content/v126228207171p33/
Deposited by: Memoria Investigacion
Deposited on: 29 Apr 2011 09:14
Last Modified: 20 Apr 2016 15:55
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