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Condorcet efficiencies under the maximal culture condition

Author

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  • William V. Gehrlein

    (Department of Business Administration, University of Delaware, Newark, DE 19716-2710, USA)

  • Dominique Lepelley

    (CREME, University of Caen F-14032 Caen Cedex, France)

Abstract

The Condorcet winner in an election is a candidate that could defeat each other candidate in a series of pairwise majority rule elections. The Condorcet efficiency of a voting rule is the conditional probability that the voting rule will elect the Condorcet winner, given that such a winner exists. The study considers the Condorcet efficiency of basic voting rules under various assumptions about how voter preference rankings are obtained. Particular attention is given to situations in which the maximal culture condition is used as a basis for obtaining voter preferences.

Suggested Citation

  • William V. Gehrlein & Dominique Lepelley, 1999. "Condorcet efficiencies under the maximal culture condition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 471-490.
    • Handle: RePEc:spr:sochwe:v:16:y:1999:i:3:p:471-490
    Note: Received: 4 February 1998/Accepted: 13 April 1998
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    Citations

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    Cited by:

    1. Mostapha Diss & Ahmed Doghmi, 2016. "Multi-winner scoring election methods: Condorcet consistency and paradoxes," Public Choice, Springer, vol. 169(1), pages 97-116, October.
    2. Sébastien Courtin & Mathieu Martin & Issofa Moyouwou, 2015. "The $$q$$ q -majority efficiency of positional rules," Theory and Decision, Springer, vol. 79(1), pages 31-49, July.
    3. Jack Stecher, 2008. "Existence of approximate social welfare," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 43-56, January.
    4. William Gehrlein, 1999. "On the Probability that all Weighted Scoring Rules Elect the Condorcet Winner," Quality & Quantity: International Journal of Methodology, Springer, vol. 33(1), pages 77-84, February.
    5. 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.
    6. William Gehrlein & Dominique Lepelley, 2009. "The Unexpected Behavior of Plurality Rule," Theory and Decision, Springer, vol. 67(3), pages 267-293, September.
    7. 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.

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