Ideology and existence of 50%-majority equilibria in multidimensional spatial voting models
AbstractWhen 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.
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Bibliographic InfoPaper provided by EconWPA in its series Microeconomics with number 0506007.
Date of creation: 21 Jun 2005
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- HervÃ© CrÃ¨s & M. Utku Ãœnver, 2010. "Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models," Journal of Theoretical Politics, , vol. 22(4), pages 431-444, October.
- Crès, Hervé & Ünver, Utku, 2006. "Ideology and existence of 50%-majority equilibria in multidimensional spatial voting models," Les Cahiers de Recherche 818, HEC Paris.
- Hervé Crès & Utku Unver, 2010. "Ideology and existence of 50% majority equilibria in Multidimensional spatial voting Models," Sciences Po publications info:hdl:2441/eu4vqp9ompq, Sciences Po.
- Utku Unver & Hervé Crès, 2005. "Ideology and existence of 50% : Majority equilibria in multidimensional spatial voting models," Sciences Po publications 818/2005, Sciences Po.
- Hervé Crès & M. Utku Ünver, 2008. "Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models," Boston College Working Papers in Economics 716, Boston College Department of Economics.
- M.Utku Unver, 2005. "Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models," Working Papers 261, University of Pittsburgh, Department of Economics, revised Jan 2005.
- D1 - Microeconomics - - Household Behavior
- D2 - Microeconomics - - Production and Organizations
- D3 - Microeconomics - - Distribution
- D4 - Microeconomics - - Market Structure and Pricing
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-07-03 (All new papers)
- NEP-DCM-2005-07-03 (Discrete Choice Models)
- NEP-POL-2005-07-03 (Positive Political Economics)
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