Ideology and existence of 50% : Majority equilibria in multidimensional spatial voting models - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

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

(1) , (2)
1
2
Hervé Crès
  • Function : Author
  • PersonId : 954777

Abstract

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.
Fichier principal
Vignette du fichier
cres-unver-crhec-2005.pdf (361.85 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01065582 , version 1 (18-09-2014)

Identifiers

Cite

Hervé Crès, Utku Unver. Ideology and existence of 50% : Majority equilibria in multidimensional spatial voting models. 2005. ⟨hal-01065582⟩
60 View
80 Download

Share

Gmail Facebook Twitter LinkedIn More