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Generating random weak orders and the probability of a Condorcet winner

Author

Listed:
  • Thom Bezembinder

    (University of Nijmegen, Nijmegen Institute for Cognition and Information, P.O. Box 9104, 6500 HE Nijmegen, The Netherlands)

  • Hans Maassen

    (University of Nijmegen, Department of Mathematics, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands)

Abstract

We present an algorithm for generating a random weak order of m objects in which all possible weak orders are equally likely. The form of the algorithm suggests analytic expressions for the probability of a Condorcet winner both for linear and for weak preference orders.

Suggested Citation

  • Thom Bezembinder & Hans Maassen, 2002. "Generating random weak orders and the probability of a Condorcet winner," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 517-532.
    • Handle: RePEc:spr:sochwe:v:19:y:2002:i:3:p:517-532
    Note: Received: 6 April 2000/Accepted: 31 January 2001
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    Cited by:

    1. Moulin, Herve & Sprumont, Yves, 2006. "Responsibility and cross-subsidization in cost sharing," Games and Economic Behavior, Elsevier, vol. 55(1), pages 152-188, April.
    2. Salvatore Barbaro & Nils D. Steiner, 2022. "Majority principle and indeterminacy in German elections," Working Papers 2202, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    3. Evangelos Triantaphyllou & Fujun Hou & Juri Yanase, 2020. "Analysis of the Final Ranking Decisions Made by Experts After a Consensus has Been Reached in Group Decision Making," Group Decision and Negotiation, Springer, vol. 29(2), pages 271-291, April.
    4. Salvatore Barbaro, 2021. "A social-choice perspective on authoritarianism and political polarization," Working Papers 2108, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.

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