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Candidate Stability and Voting Correspondences

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  • Carmelo Rodríguez-Álvarez

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Abstract

For each set of candidates at state and each profile of voters' preferences over running candidates a voting corresponsence selects a set of candidates. following Dutta, Jackson and Le Breton (Econometrica 2001) a voting correspondence is candidate stable if a candidate never benefits from withdrawing unilateraly her candidacy. If candidates cannot vote and compare sets of candidates according to their expected utility conditional on some prior probability assessment only dictatorial voting correspondences are candidate stable and unanimous. If the assessments are restricted to be uniform, rules that select the set of best candidates of tww fixed voters are also allowed. We also analyze other domains of preferences fitting extreme attitudes towards risk in which positive results are obtained
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Suggested Citation

  • Carmelo Rodríguez-Álvarez, 2006. "Candidate Stability and Voting Correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 545-570, December.
  • Handle: RePEc:spr:sochwe:v:27:y:2006:i:3:p:545-570
    DOI: 10.1007/s00355-006-0126-y
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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, vol. 112(1), 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, vol. 69(4), pages 1013-1037, July.
    9. Demange, Gabrielle, 1987. "Nonmanipulable Cores," Econometrica, Econometric Society, vol. 55(5), pages 1057-1074, September.
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    Citations

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    Cited by:

    1. Kentaro Hatsumi, 2009. "Candidate Stable Voting Rules for Separable Orderings," ISER Discussion Paper 0735, Institute of Social and Economic Research, Osaka University.
    2. 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.
    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

    JEL classification:

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

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