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Generating random weak orders and the probability of a Condorcet winner

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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.

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Authors and Affiliations

  1.  University of Nijmegen, Department of Mathematics, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands (e-mail: [email protected]), , , , , , NL

    Hans Maassen

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

    Thom Bezembinder

Authors
  1. Hans Maassen
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  2. Thom Bezembinder
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Received: 6 April 2000/Accepted: 31 January 2001

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Maassen, H., Bezembinder, T. Generating random weak orders and the probability of a Condorcet winner. Soc Choice Welfare 19, 517–532 (2002). https://doi.org/10.1007/s003550100129

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  • DOI: https://doi.org/10.1007/s003550100129

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