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Candidate Stability and Nonbinary Social Choice

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  • Lars Ehlers

    ()
    (Departement de Sciences Economiques and C.R.D.E., Universite de Montreal)

  • John A. Weymark

    ()
    (Department of Economics, Vanderbilt University)

Abstract

A desirable property of a voting procedure is that it be immune to the strategic withdrawal of a cadidate for election. Dutta, Jackson, and Le Breton (Econometrica,2001) have established a number of theorems which demonstrate that this condition is incompatible with some other desirable properties of voting procedures. This article shows that Grether and Plott's nonbinary generalization of Arrow's Theorem can be used to provide simple proofs of these impossibility theorems.

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File URL: http://www.accessecon.com/pubs/VUECON/vu01-w13.pdf
File Function: First version, 2001
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Bibliographic Info

Paper provided by Vanderbilt University Department of Economics in its series Vanderbilt University Department of Economics Working Papers with number 0113.

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Date of creation: Jul 2001
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Handle: RePEc:van:wpaper:0113

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Web page: http://www.vanderbilt.edu/econ/wparchive/index.html

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Keywords: Axiomatic social choice; candidate stability; political economy; voting;

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References

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  1. DUTTA, Bhaskar & JACKSON, Matthew O. & LE BRETON, Michel, 1999. "Strategic candidacy and voting procedures," CORE Discussion Papers 1999011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. 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.
  3. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
  4. Grether, David M & Plott, Charles R, 1982. "Nonbinary Social Choice: An Impossibility Theorem," Review of Economic Studies, Wiley Blackwell, vol. 49(1), pages 143-49, January.
  5. Eraslan, H.Hulya & McLennan, Andrew, 2004. "Strategic candidacy for multivalued voting procedures," Journal of Economic Theory, Elsevier, vol. 117(1), pages 29-54, July.
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Citations

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Cited by:
  1. Samejima, Yusuke, 2005. "Strategic candidacy, monotonicity, and strategy-proofness," Economics Letters, Elsevier, vol. 88(2), pages 190-195, August.
  2. Priscilla Man & Shino Takayama, 2012. "A Unifying Impossibility Theorem," Discussion Papers Series 448, School of Economics, University of Queensland, Australia.
  3. Kentaro Hatsumi, 2009. "Candidate Stable Voting Rules for Separable Orderings," ISER Discussion Paper 0735, Institute of Social and Economic Research, Osaka University.
  4. Carmelo Rodríguez-Álvarez, 2006. "Candidate Stability and Voting Correspondences," Social Choice and Welfare, Springer, vol. 27(3), pages 545-570, December.
  5. EHLERS, Lars & STORCKEN, Ton, 2002. "Arrow's Theorem in Spatial Environments," Cahiers de recherche 2002-03, Universite de Montreal, Departement de sciences economiques.
  6. Eraslan, H.Hulya & McLennan, Andrew, 2004. "Strategic candidacy for multivalued voting procedures," Journal of Economic Theory, Elsevier, vol. 117(1), pages 29-54, July.
  7. Geoffroy de Clippel & Camelia Bejan, 2009. "No Profitable Decomposition in Quasi-Linear Allocation Problems," Working Papers 2009-6, Brown University, Department of Economics.
  8. Geoffroy de Clippel, 2009. "Axiomatic Bargaining on Economic Enviornments with Lott," Working Papers 2009-5, Brown University, Department of Economics.
  9. Michel Le Breton & John A. Weymark, 2002. "Arrovian Social Choice Theory on Economic Domains," Vanderbilt University Department of Economics Working Papers 0206, Vanderbilt University Department of Economics, revised Sep 2003.
  10. 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.

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