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Ideology and existence of 50%-majority equilibria in multidimensional spatial voting models

Author

Listed:
  • Herve Cres

    (HEC Paris)

  • M. Utku Unver

    (Koc University)

Abstract

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.

Suggested Citation

  • Herve Cres & M. Utku Unver, 2005. "Ideology and existence of 50%-majority equilibria in multidimensional spatial voting models," Microeconomics 0506007, EconWPA.
  • Handle: RePEc:wpa:wuwpmi:0506007
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    References listed on IDEAS

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    1. Crès, Hervé & Tvede, Mich, 2009. "Production in incomplete markets: Expectations matter for political stability," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 212-222, March.
    2. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    3. repec:spo:wpecon:info:hdl:2441/10281 is not listed on IDEAS
    4. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    5. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135-135.
    6. Ferejohn, John A. & Grether, David M., 1974. "On a class of rational social decision procedures," Journal of Economic Theory, Elsevier, vol. 8(4), pages 471-482, August.
    7. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
    8. Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," Working Papers hal-01065579, HAL.
    9. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
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    More about this item

    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • D2 - Microeconomics - - Production and Organizations
    • D3 - Microeconomics - - Distribution
    • D4 - Microeconomics - - Market Structure, Pricing, and Design

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