Positional rules and q-Condorcet consistency
A well-known result in Social Choice theory is the following: every scoring rule (positional rules) violates Condorcet consistency. A rule is Condorcet consistent when it selects the alternative that is preferred to every other alternative by a majority of individuals. In this paper, we investigate some limits of this negative result. We expose the relationship between a weaker version of the Condorcet consistency principle and the scoring rules. Our main objective is then to study the condition on the quota that ensure that positional rules (simple and sequential) satisfy this principle.
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- Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-41, November.
- Dominique Lepelley, 1996. "Constant scoring rules, Condorcet criteria and single-peaked preferences (*)," Economic Theory, Springer, vol. 7(3), pages 491-500.
- Eyal Baharad & Shmuel Nitzan, 2003. "The Borda rule, Condorcet consistency and Condorcet stability," Economic Theory, Springer, vol. 22(3), pages 685-688, October.
- Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer, vol. 26(1), pages 107-129, January.
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