The q-Condorcet efficiency of positional rules
According to a given quota q, a candidate a is beaten by another candidate b if at least a proportion of q individuals prefer b to a. The q-Condorcet efficiency of a voting rule is the probability that the rule selects a q-Condorcet winner (q-CW), that is any candidate who is never beaten under the q-majority. Closed form representations are obtained for the q-Condorcet efficiency of positional rules (simple and sequential) in three-candidate elections. This efficiency is significantly greater for sequential rules than for simple positional rules.
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- Dominique Lepelley & Ahmed Louichi & Hatem Smaoui, 2008.
"On Ehrhart polynomials and probability calculations in voting theory,"
Social Choice and Welfare,
Springer, vol. 30(3), pages 363-383, April.
- Dominique Lepelley & Ahmed Louichi & Hatem Smaoui, 2006. "On Ehrhart Polynomials and Probability Calculations in Voting Theory," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200610, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
- Sébastien Courtin & Mathieu Martin & Bertrand Tchantcho, 2012. "Positional rules and q-Condorcet consistency," THEMA Working Papers 2012-36, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Eyal Baharad & Shmuel Nitzan, 2003. "The Borda rule, Condorcet consistency and Condorcet stability," Economic Theory, Springer, vol. 22(3), pages 685-688, October.
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