Candidate Stability and Nonbinary Social Choice
A voting procedure is candidate stable if no candidate would prefer to withdraw from an election when all of the other potential candidates enter. Dutta, Jackson, and Le Breton have recently established a number of theorems showing that candidate stability 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 a simple proof of Dutta, Jackson, and Le Breton's impossibility theorem for the case in which the voters and potential candidates have no one in common.
|Date of creation:||Jul 2000|
|Date of revision:||Feb 2001|
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- Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001.
"Strategic Candidacy and Voting Procedures,"
Econometric Society, vol. 69(4), pages 1013-37, July.
- Grether, David M. & Plott, Charles R., .
"Nonbinary Social Choice: An Impossibility Theorem,"
271, California Institute of Technology, Division of the Humanities and Social Sciences.
- Eraslan, H.Hulya & McLennan, Andrew, 2004. "Strategic candidacy for multivalued voting procedures," Journal of Economic Theory, Elsevier, vol. 117(1), pages 29-54, July.
- Barbera, Salvador & Dutta, Bhaskar & Sen, Arunava, 2001.
"Strategy-proof Social Choice Correspondences,"
Journal of Economic Theory,
Elsevier, vol. 101(2), pages 374-394, December.
- 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.
- 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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