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

Author

Listed:
  • Hervé Crès

    (Sciences Po, Paris, herve.cres@sciences-po.fr)

  • M. Utku Ãœnver

    (Boston College, utku.unver@bc.edu,)

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 & 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.
  • Handle: RePEc:sae:jothpo:v:22:y:2010:i:4:p:431-444
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    References listed on IDEAS

    as
    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," Sciences Po publications 816/2005, Sciences Po.
    9. Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," Working Papers hal-00587205, HAL.
    10. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
    11. 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)

    More about this item

    Keywords

    ideology; mean voter theorem; spatial voting; super majority;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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