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Searching for equilibrium positions in a game of political competition with restrictions
Authors:Manuel Abellanas,M Dolores Ló  pez,Javier Rodrigo
Affiliation:1. Departamento de Matemática Aplicada de la Facultad de Informática, Universidad Politécnica de Madrid, Spain;2. Departamento de Matemática Aplicada de la E.T.S.I. Caminos, Canales y Puertos, Universidad Politécnica de Madrid, Spain;3. Departamento de Matemática Aplicada, E.T.S. de Ingenier?´a. Universidad Pontificia Comillas de Madrid, Spain
Abstract:This paper considers a problem of political economy in which a Nash equilibrium study is performed in a proposed game with restrictions where the two major parties in a country vary their position within a politically flexible framework to increase their number of voters. The model as presented fits the reality of many countries. Moreover, it avoids the uniqueness of equilibrium positions. The problem is stated and solved from a geometric point of view.
Keywords:OR in government   Game theory   Location   Political competition   Nash equilibrium
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