English, Article, Journal or magazine article edition: Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models Herve Cres; M. Utku Unver

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Bookmark: http://trove.nla.gov.au/version/68724
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models
Author
  • Herve Cres
  • M. Utku Unver
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 we assume that a lower d-dimensional (d smaller than 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 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.
  • RePEc:wpa:wuwpmi:0506007
  • RePEc:pit:wpaper:261
Language
  • English
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