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On the Likelihood of Condorcet's Profiles

Author

Listed:
  • Merlin, V.
  • Tataru, M.
  • Valognes, F.

Abstract

Consider a group of individuals who have to collectively choose an outcome from a finite set of feasible alternatives. A scoring or positional rule is an aggregation procedure where each voter awards a given number of points, Wj, to the alternative she ranks in Jth position in her preference ordering; the outcome chosen is then the alternative that receives the highest number of points. A Condorcet or majority winner is a candidate who obtains more votes than her opponents in any pairwise comparison.

Suggested Citation

  • Merlin, V. & Tataru, M. & Valognes, F., 2000. "On the Likelihood of Condorcet's Profiles," Papers 223, Notre-Dame de la Paix, Sciences Economiques et Sociales.
    • Handle: RePEc:fth:nodapa:223
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    Citations

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    Cited by:

    1. Eric Kamwa & Vincent Merlin, 2019. "The Likelihood of the Consistency of Collective Rankings Under Preferences Aggregation with Four Alternatives Using Scoring Rules: A General Formula and the Optimal Decision Rule," Computational Economics, Springer;Society for Computational Economics, vol. 53(4), pages 1377-1395, April.
    2. Mostapha Diss & Vincent Merlin, 2010. "On the stability of a triplet of scoring rules," Theory and Decision, Springer, vol. 69(2), pages 289-316, August.
    3. Eyal Baharad & Shmuel Nitzan, 2011. "Condorcet vs. Borda in light of a dual majoritarian approach," Theory and Decision, Springer, vol. 71(2), pages 151-162, August.
    4. Aleksandras KRYLOVAS & Natalja KOSAREVA & Edmundas Kazimieras ZAVADSKAS, 2016. "Statistical Analysis of KEMIRA Type Weights Balancing Methods," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 19-39, September.
    5. 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.
    6. William v. Gehrlein & Dominique Lepelley, 2009. "A note on Condorcet's other paradox," Economics Bulletin, AccessEcon, vol. 29(3), pages 2000-2007.
    7. Eric Kamwa & Vincent Merlin, 2018. "The Likelihood of the Consistency of Collective Rankings under Preferences Aggregation with Four Alternatives using Scoring Rules: A General Formula and the Optimal Decision Rule," Working Papers hal-01757742, HAL.
    8. William V Gehrlein & Vincent Merlin, 2021. "On the Probability of the Ostrogorski Paradox," Post-Print halshs-03504780, HAL.
    9. Aaron Meyers & Michael Orrison & Jennifer Townsend & Sarah Wolff & Angela Wu, 2014. "Generalized Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 11-27, June.

    More about this item

    Keywords

    GAME THEORY ; ECONOMIC MODELS ; DECISION MAKING;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    Statistics

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