Candidate Stability and Nonbinary Social Choice
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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- David M. Grether & Charles R. Plott, 1982.
"Nonbinary Social Choice: An Impossibility Theorem,"
Review of Economic Studies,
Oxford University Press, vol. 49(1), pages 143-149.
- Grether, David M. & Plott, Charles R., "undated". "Nonbinary Social Choice: An Impossibility Theorem," Working Papers 271, California Institute of Technology, Division of the Humanities and Social Sciences.
- 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.
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- Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, vol. 69(4), pages 1013-1037, July.
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- Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December. Full references (including those not matched with items on IDEAS)