Generating random weak orders and the probability of a Condorcet winner
Thom Bezembinder and
Hans Maassen ()
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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
Social Choice and Welfare, 2002, vol. 19, issue 3, 517-532
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.
Date: 2002-07-08
Note: Received: 6 April 2000/Accepted: 31 January 2001
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