Ideology and existence of 50%-majority equilibria in multidimensional spatial voting models
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.
References listed on IDEAS
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- Crès, Hervé & Tvede, Mich, 2009.
"Production in incomplete markets: Expectations matter for political stability,"
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- Hervé Crès & Mich Tvede, 2009. "Production in Incomplete Markets: Expectations Matter for Political Stability," Discussion Papers 09-01, University of Copenhagen. Department of Economics.
- Hervé Crès & Mich Tvede, 2009. "Production in incomplete markets: Expectations matter for political stability," Sciences Po publications info:hdl:2441/10267, Sciences Po.
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- Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," Sciences Po publications 816/2005, Sciences Po.
- Crès, Hervé & Tvede, Mich, 2006. "Portfolio diversification and internalization of production externalities through majority voting," Les Cahiers de Recherche 816, HEC Paris.
- Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," Working Papers hal-00587205, HAL.
- Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
- Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," Working Papers hal-01065579, HAL. Full references (including those not matched with items on IDEAS)
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