Condorcet efficiency: A preference for indifference
AbstractThe Condorcet winner in an election is the candidate who would be able to defeat all other candidates in a series of pairwise elections. The Condorcet efficiency of a voting procedure is the conditional probability that it will elect the Condorcet winner, given that a Condorcet winner exists. The study considers the Condorcet efficiency of weighted scoring rules (WSR's) on three candidates for large electorates when voter indifference between candidates is allowed. It is shown that increasing the proportion of voters who have partial indifference will increase the probability that a Condorcet winner exists, and will also increase the Condorcet efficiency of all WSR's. The same observation is observed when the proportion of voters with complete preferences on candidates is reduced. Borda Rule is shown to be the WSR with maximum Condorcet efficiency over a broad range of assumptions related to voter preferences. The result of forcing voters to completely rank all candidates, by randomly breaking ties on candidates that are viewed as indifferent, leads to a reduction in the probability that a Condorcet winner exists and to a reduction in the Condorcet efficiency of all WSR's.
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Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 18 (2001)
Issue (Month): 1 ()
Note: Received: 31 July 1999/Accepted: 11 February 2000
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Other versions of this item:
- Gehrlein, W. & Valognes, F., 2000. "Condorcet Efficiency: A Preference for Indifference," Papers 224, Notre-Dame de la Paix, Sciences Economiques et Sociales.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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- Hervé Crès, 2001.
"Aggregation of coarse preferences,"
Social Choice and Welfare,
Springer, vol. 18(3), pages 507-525.
- Mostapha Diss & Vincent Merlin, 2010.
"On the stability of a triplet of scoring rules,"
- Hervé Crès, 2000. "Aggregation of Coarse Preferences," Sciences Po publications 659/1998, Sciences Po.
- Regenwetter, Michel & Grofman, Bernard & Marley, A. A. J., 2002. "On the model dependence of majority preference relations reconstructed from ballot or survey data," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 451-466, July.
- Merlin, Vincent & Valognes, Fabrice, 2004. "The impact of indifferent voters on the likelihood of some voting paradoxes," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 343-361, November.
- Michel Regenwetter & James Adams & Bernard Grofman, 2002. "On the (Sample) Condorcet Efficiency of Majority Rule: An alternative view of majority cycles and social homogeneity," Theory and Decision, Springer, vol. 53(2), pages 153-186, September.
- Mathieu Martin, 2002. "On the emptiness of the stability set of order d," Theory and Decision, Springer, vol. 52(4), pages 313-326, June.
- M. Martin, 2001. "On the emptiness of the stability set of order d," THEMA Working Papers 2001-04, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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