English, Article, Journal or magazine article edition: Ideology and existence of 50%-majority equilibria in multidimensional spatial voting models Crès, Hervé; Ünver, Utku

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Bookmark: http://trove.nla.gov.au/version/22913
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Ideology and existence of 50%-majority equilibria in multidimensional spatial voting models
Author
  • Crès, Hervé
  • Ünver, Utku
Physical Description
  • preprint
Notes
  • When aggregating individual preferences through the majority rule in an n-dimensional spatial voting model, the "worst-case" scenario is a social choice configuration where no political equilibrium exists unless a super majority rate as high as 1-1/​n is adopted. In this paper the authors assume that a lower d-dimensional (d<n)linear map spans the possible candidates plateforms. These d "ideological" dimensions imply some linkages between the n political issues. The authors randomize over these linkages and show that there almost surely exists a50%-majority equilibria in the above worst-case scenario, when n grows to infinity.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.
  • spatial voting; super majority; ideology; mean voter theorem; random point set
  • RePEc:ebg:heccah:0818
Language
  • English
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