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Candidate stability and probabilistic voting procedures

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  • Carmelo Rodríguez-Álvarez

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Abstract

We extend the analysis of Dutta, Jackson and Le Breton (Econometrica, 2001) on strategic candidacy to probabilistic environments. For each agenda and each profile of voters’ preferences over running candidates, a probabilistic voting procedure selects a lottery on the set of running candidates. Assuming that candidates cannot vote, we show that random dictatorships are the only unanimous probabilistic voting procedures that never provide unilateral incentives for the candidates to withdraw their candidacy at any set of potential candidates. More flexible probabilistic voting procedures can be devised if we restrict our attention to the stability of specific sets of potential candidates. Copyright Springer-Verlag Berlin/Heidelberg 2006

Suggested Citation

  • Carmelo Rodríguez-Álvarez, 2006. "Candidate stability and probabilistic voting procedures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(3), pages 657-677, April.
  • Handle: RePEc:spr:joecth:v:27:y:2006:i:3:p:657-677
    DOI: 10.1007/s00199-004-0564-7
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    File URL: http://hdl.handle.net/10.1007/s00199-004-0564-7
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    Cited by:

    1. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    2. Kentaro Hatsumi, 2009. "Candidate Stable Voting Rules for Separable Orderings," ISER Discussion Paper 0735, Institute of Social and Economic Research, Osaka University.

    More about this item

    Keywords

    Probabilistic voting procedures; Candidate stability; Random dictatorship.;

    JEL classification:

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

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