Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models

Hervé Cres

HEC Paris

M. Utku Ünver

Boston College - Department of Economics

September 17, 2008

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 < 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 equilibrium 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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Date posted: October 16, 2008  

Suggested Citation

Cres, Hervé and Ünver, M. Utku, Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models (September 17, 2008). Available at SSRN: http://ssrn.com/abstract=1285182 or http://dx.doi.org/10.2139/ssrn.1285182

Contact Information

Hervé Cres
HEC Paris ( email )
1, rue de la Liberation
Jouy-en-Josas Cedex, 78351
33 1 39 94 12 (Phone)
33 1 39 67 70 85 (Fax)

Utku Unver (Contact Author)
Boston College - Department of Economics ( email )
140 Commonwealth Ave.
Chestnut Hill, MA 02467
United States
+1 (617) 552 2217 (Phone)
+1 (617) 552 2318 (Fax)
HOME PAGE: http://www2.bc.edu/~unver
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