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Generating random weak orders and the probability of a Condorcet winner |
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| Authors: | Hans Maassen Thom Bezembinder |
| Affiliation: | (1) University of Nijmegen, Department of Mathematics, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands (e-mail: maassen@sci.kun.nl), NL;(2) University of Nijmegen, Nijmegen Institute for Cognition and Information, P.O. Box 9104, 6500 HE Nijmegen, The Netherlands, NL |
| 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. Received: 6 April 2000/Accepted: 31 January 2001 |
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