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Ideology and existence of 50% majority equilibria in Multidimensional spatial voting Models

Author

Listed:
  • Hervé Crès

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

  • Utku Unver

    (Department of Economics - Tilburg University [Netherlands])

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+1) is adopted. In this paper we assume that a lower d-dimensional (d

Suggested Citation

  • Hervé Crès & Utku Unver, 2010. "Ideology and existence of 50% majority equilibria in Multidimensional spatial voting Models," Post-Print hal-01023800, HAL.
  • Handle: RePEc:hal:journl:hal-01023800
    DOI: 10.1177/0951629810371015
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-01023800
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    1. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    2. repec:hal:spmain:info:hdl:2441/10281 is not listed on IDEAS
    3. Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," SciencePo Working papers hal-01065579, HAL.
    4. repec:hal:spmain:info:hdl:2441/10273 is not listed on IDEAS
    5. 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.
    6. Enelow,James M. & Hinich,Melvin J., 1984. "The Spatial Theory of Voting," Cambridge Books, Cambridge University Press, number 9780521275156, September.
    7. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    8. McKelvey, Richard D. & Schofield, Norman, 1986. "Structural instability of the core," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 179-198, June.
    9. Banks, Jeffrey S., 1995. "Singularity theory and core existence in the spatial model," Journal of Mathematical Economics, Elsevier, vol. 24(6), pages 523-536.
    10. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    11. Adam Meirowitz, 2004. "The core of social choice problems with monotone preferences and a feasibility constraint," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(3), pages 467-478, June.
    12. 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.
    13. Howard Rosenthal & Erik Voeten, 2004. "Analyzing Roll Calls with Perfect Spatial Voting: France 1946–1958," American Journal of Political Science, John Wiley & Sons, vol. 48(3), pages 620-632, July.
    14. repec:hal:wpspec:info:hdl:2441/10281 is not listed on IDEAS
    15. Hervé Crès & Mich Tvede, 2009. "Production in incomplete markets: Expectations matter for political stability," SciencePo Working papers hal-01022731, HAL.
    16. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
    17. Donald G. Saari, 1997. "The generic existence of a core for q -rules (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 219-260.
    18. Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," SciencePo Working papers Main hal-01065579, HAL.
    19. Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," Working Papers hal-01065579, HAL.
    20. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
    21. repec:hal:wpspec:info:hdl:2441/10267 is not listed on IDEAS
    22. repec:hal:spmain:info:hdl:2441/10267 is not listed on IDEAS
    23. Keith Poole, 2007. "Changing minds? Not in Congress!," Public Choice, Springer, vol. 131(3), pages 435-451, June.
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    More about this item

    Keywords

    ideology; mean voter theorem; spatial voting; super majority;
    All these keywords.

    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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