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Ideology and existence of 50% : Majority equilibria in multidimensional spatial voting models

 

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Type:   Working paper
 
Titre:   Ideology and existence of 50% : Majority equilibria in multidimensional spatial voting models
 
Auteur(s):   Crès, Hervé (Auteur)
Unver, Utku - Department of Economics (Auteur)
 
Date de publication:   2005-06
 
Collection:   Cahier de Recherche du Groupe HEC  :  818/2005
 
Résumé:   [en] When aggregating individual preferences through the majority rule in an n-dimensional spatial voting model, the ‘worst-case’ scenario is a social choice conÞguration where no political equilibrium exists unless a super majority rate as high as 1−1/n is adopted. In this paper we assume that a lower d-dimensional (d < n) linear map spans the possible candidates’ platforms. These d ‘ideological’ dimensions imply some linkages between the n political issues. We randomize over these linkages and show that there almost surely exists a 50%-majority equilibria in the above worst-case scenario, when n grows to inÞnity. Moreover the equilibrium is the mean voter. The speed of convergence (toward 50%) of the super majority rate guaranteeing existence of equilibrium is computed for d = 1 and 2.
 
 

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