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Candidate stability and nonbinary social choice

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  • Lars Ehlers
  • John A. Weymark

Abstract

The requirement that a voting procedure be immune to the strategic withdrawal of a candidate for election can be formalized in different ways. Dutta, Jackson, and Le Breton (Econometrica, 2001) have recently shown that two formalizations of this candidate stability property are 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 two of their impossibility theorems. Copyright Springer-Verlag Berlin Heidelberg 2003

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 22 (2003)
Issue (Month): 2 (09)
Pages: 233-243

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Handle: RePEc:spr:joecth:v:22:y:2003:i:2:p:233-243

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Related research

Keywords: Keywords and Phrases:Axiomatic social choice; Candidate stability; Political economy; Voting.; JEL Classification Numbers:D71; D72.;

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References

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  1. Barbera, Salvador & Dutta, Bhaskar & Sen, Arunava, 2001. "Strategy-proof Social Choice Correspondences," Journal of Economic Theory, Elsevier, vol. 101(2), pages 374-394, December.
  2. Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, vol. 69(4), pages 1013-37, July.
  3. Eraslan, H.Hulya & McLennan, Andrew, 2004. "Strategic candidacy for multivalued voting procedures," Journal of Economic Theory, Elsevier, vol. 117(1), pages 29-54, July.
  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. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
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Cited by:
  1. Le Breton, Michel & Weymark, John, 2002. "Arrovian Social Choice Theory on Economic Domains," IDEI Working Papers 143, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2003.
  2. de Clippel, Geoffroy & Bejan, Camelia, 2011. "No profitable decompositions in quasi-linear allocation problems," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1995-2012, September.
  3. Rodriguez-Alvarez, Carmelo, 2003. "Candidate Stability And Voting Correspondences," The Warwick Economics Research Paper Series (TWERPS) 666, University of Warwick, Department of Economics.
  4. 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.
  5. Ehlers,Lars & Storcken,Ton, 2001. "Arrow's Theorem in Spatial Environments," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  6. Kentaro Hatsumi, 2009. "Candidate Stable Voting Rules for Separable Orderings," ISER Discussion Paper 0735, Institute of Social and Economic Research, Osaka University.
  7. Samejima, Yusuke, 2005. "Strategic candidacy, monotonicity, and strategy-proofness," Economics Letters, Elsevier, vol. 88(2), pages 190-195, August.
  8. Geoffroy de Clippel, 2009. "Axiomatic Bargaining on Economic Enviornments with Lott," Working Papers 2009-5, Brown University, Department of Economics.
  9. Priscilla Man & Shino Takayama, 2012. "A Unifying Impossibility Theorem," Discussion Papers Series 448, School of Economics, University of Queensland, Australia.
  10. 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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