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Candidate Stability and Voting Correspondences

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  • Carmelo Rodr?uez-?varez

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Abstract

We study the incentives of candidates to enter or to exit elections in order to strategically affect the outcome of a voting correspondence. We extend the results of Dutta, Jackson and Le Breton (2000), who only considered single-valued voting procedures by admitting that the outcomes of voting may consist of sets of candidates. We show that, if candidates form their preferences over sets according to Expected Utility Theory and Bayesian updating, every unanimous and non dictatorial voting correspondence violates candidate stability. When candidates are restricted to use even chance prior distributions, only dictatorial or bidictatorial rules are unanimous and candidate stable. We also analyze the implications of using other extension criteria to define candidate stability that open the door to positive results.

Suggested Citation

  • Carmelo Rodr?uez-?varez, 2001. "Candidate Stability and Voting Correspondences," UFAE and IAE Working Papers 492.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  • Handle: RePEc:aub:autbar:492.01
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    References listed on IDEAS

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    1. Lars Ehlers & John A. Weymark, 2003. "Candidate stability and nonbinary social choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 233-243, September.
    2. Eraslan, H.Hulya & McLennan, Andrew, 2004. "Strategic candidacy for multivalued voting procedures," Journal of Economic Theory, Elsevier, vol. 117(1), pages 29-54, July.
    3. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    4. Martin J. Osborne & Al Slivinski, 1996. "A Model of Political Competition with Citizen-Candidates," The Quarterly Journal of Economics, Oxford University Press, vol. 111(1), pages 65-96.
    5. Timothy Besley & Stephen Coate, 1997. "An Economic Model of Representative Democracy," The Quarterly Journal of Economics, Oxford University Press, pages 85-114.
    6. Barbera, Salvador & Dutta, Bhaskar & Sen, Arunava, 2005. "Corrigendum to "Strategy-proof social choice correspondences" [J. Econ. Theory 101 (2001) 374-394]," Journal of Economic Theory, Elsevier, vol. 120(2), pages 275-275, February.
    7. Dutta, Bhaskar & Jackson, Matthew O. & Le Breton, Michel, 2002. "Voting by Successive Elimination and Strategic Candidacy," Journal of Economic Theory, Elsevier, vol. 103(1), pages 190-218, March.
    8. Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, pages 1013-1037.
    9. Demange, Gabrielle, 1987. "Nonmanipulable Cores," Econometrica, Econometric Society, vol. 55(5), pages 1057-1074, September.
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    Cited by:

    1. Bhaskar Dutta & Matthew O. Jackson & Michel Le Breton, 2004. "Equilibrium agenda formation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 21-57, August.
    2. Kentaro Hatsumi, 2009. "Candidate Stable Voting Rules for Separable Orderings," ISER Discussion Paper 0735, Institute of Social and Economic Research, Osaka University.
    3. Berga, Dolors & Bergantinos, Gustavo & Masso, Jordi & Neme, Alejandro, 2007. "An undominated Nash equilibrium for voting by committees with exit," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 152-175, September.

    More about this item

    Keywords

    Candidate Stability; Voting Correspondence; Extension Criterion;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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