IDEAS home Printed from https://ideas.repec.org/p/hal/spmain/hal-01023800.html
   My bibliography  Save this paper

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," SciencePo Working papers Main hal-01023800, HAL.
  • Handle: RePEc:hal:spmain:hal-01023800
    DOI: 10.1177/0951629810371015
    Note: View the original document on HAL open archive server: https://hal-sciencespo.archives-ouvertes.fr/hal-01023800
    as

    Download full text from publisher

    File URL: https://hal-sciencespo.archives-ouvertes.fr/hal-01023800/document
    Download Restriction: no

    File URL: https://libkey.io/10.1177/0951629810371015?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    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. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    3. Banks, Jeffrey S., 1995. "Singularity theory and core existence in the spatial model," Journal of Mathematical Economics, Elsevier, vol. 24(6), pages 523-536.
    4. 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.
    5. 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.
    6. 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.
    7. Hervé Crès & Mich Tvede, 2009. "Production in incomplete markets: Expectations matter for political stability," SciencePo Working papers hal-01022731, HAL.
    8. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
    9. 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.
    10. Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," SciencePo Working papers Main hal-01065579, HAL.
    11. Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," Working Papers hal-01065579, HAL.
    12. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
    13. repec:hal:spmain:info:hdl:2441/10267 is not listed on IDEAS
    14. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    15. repec:hal:spmain:info:hdl:2441/10281 is not listed on IDEAS
    16. Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," SciencePo Working papers hal-01065579, HAL.
    17. repec:hal:spmain:info:hdl:2441/10273 is not listed on IDEAS
    18. Enelow,James M. & Hinich,Melvin J., 1984. "The Spatial Theory of Voting," Cambridge Books, Cambridge University Press, number 9780521275156.
    19. McKelvey, Richard D. & Schofield, Norman, 1986. "Structural instability of the core," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 179-198, June.
    20. 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.
    21. repec:hal:wpspec:info:hdl:2441/10281 is not listed on IDEAS
    22. repec:hal:wpspec: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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09iepsg269m is not listed on IDEAS
    2. repec:hal:spmain:info:hdl:2441/10277 is not listed on IDEAS
    3. repec:spo:wpecon:info:hdl:2441/10277 is not listed on IDEAS
    4. repec:hal:wpspec:info:hdl:2441/10277 is not listed on IDEAS
    5. Hervé Crès & Utku Unver, 2010. "Ideology and existence of 50% majority equilibria in Multidimensional spatial voting Models," SciencePo Working papers hal-01023800, HAL.
    6. Tovey, Craig A., 2010. "The instability of instability of centered distributions," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 53-73, January.
    7. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09iepsg269m is not listed on IDEAS
    8. Pierre-Guillaume Méon, 2006. "Majority voting with stochastic preferences: The whims of a committee are smaller than the whims of its members," Constitutional Political Economy, Springer, vol. 17(3), pages 207-216, September.
    9. Hervé Crès & Utku Unver, 2005. "Ideology and existence of 50% : Majority equilibria in multidimensional spatial voting models," SciencePo Working papers hal-01065582, HAL.
    10. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09iepsg269m is not listed on IDEAS
    11. repec:hal:spmain:info:hdl:2441/10284 is not listed on IDEAS
    12. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    13. Tanner, Thomas Cole, 1994. "The spatial theory of elections: an analysis of voters' predictive dimensions and recovery of the underlying issue space," ISU General Staff Papers 1994010108000018174, Iowa State University, Department of Economics.
    14. repec:spo:wpecon:info:hdl:2441/10284 is not listed on IDEAS
    15. repec:hal:wpspec:info:hdl:2441/10284 is not listed on IDEAS
    16. Hervé Crès & Mich Tvede, 2005. "Portfolio Diversification and Internalization of Production Externalities through Majority Voting," Working Papers hal-00587205, HAL.
    17. Crès, Hervé & Utku Ünver, M., 2017. "Toward a 50%-majority equilibrium when voters are symmetrically distributed," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 145-149.
    18. Hervé Crès, 2000. "Majority Stable Production Equilibria: A Multivariate Mean Shareholders Theorem," Working Papers hal-00598173, HAL.
    19. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2006. "Social choice and electoral competition in the general spatial model," Journal of Economic Theory, Elsevier, vol. 126(1), pages 194-234, January.
    20. repec:spo:wpecon:info:hdl:2441/10281 is not listed on IDEAS
    21. Edward Wesep, 2012. "Defensive Politics," Public Choice, Springer, vol. 151(3), pages 425-444, June.
    22. Josep M. Colomer, 1999. "On the Geometry of Unanimity Rule," Journal of Theoretical Politics, , vol. 11(4), pages 543-553, October.
    23. repec:hal:spmain:info:hdl:2441/10281 is not listed on IDEAS
    24. repec:hal:wpspec:info:hdl:2441/10281 is not listed on IDEAS
    25. Hervé Crès & Mich Tvede, 2001. "Proxy fights in incomplete markets: when majority voting and sidepayments are equivalent," Sciences Po publications 726/2001, Sciences Po.
    26. Kirchgassner, Gebhard, 2000. "Probabilistic Voting and Equilibrium: An Impossibility Result," Public Choice, Springer, vol. 103(1-2), pages 35-48, April.
    27. Mich Tvede & Hervé Crés, 2005. "Voting in assemblies of shareholders and incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 887-906, November.
    28. A. J. McGann, 2004. "The Tyranny of the Supermajority," Journal of Theoretical Politics, , vol. 16(1), pages 53-77, January.
    29. Hervé Crès & Mich Tvede, 2013. "Production externalities: internalization by voting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 403-424, June.
    30. Grandmont, Jean-Michel, 1992. "Transformations of the commodity space, behavioral heterogeneity, and the aggregation problem," Journal of Economic Theory, Elsevier, vol. 57(1), pages 1-35.
    31. Maria Gallego & Norman Schofield & Kevin McAlister & Jee Jeon, 2014. "The variable choice set logit model applied to the 2004 Canadian election," Public Choice, Springer, vol. 158(3), pages 427-463, March.
    32. Thomas Bräuninger, 2007. "Stability in Spatial Voting Games with Restricted Preference Maximizing," Journal of Theoretical Politics, , vol. 19(2), pages 173-191, April.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:spmain:hal-01023800. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Contact - Sciences Po Departement of Economics (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.