Borda and the maximum likelihood approach to vote aggregation
Drissi-Bakhkhat and Truchon ["Maximum Likelihood Approach to Vote Aggregation with Variable Probabilities," Social Choice and Welfare, 23, (2004), 161-185.] extend the Condorcet-Kemeny-Young maximum likelihood approach to vote aggregation by relaxing the assumption that the probability of correctly ordering two alternatives is the same for all pairs of alternatives. They let this probability increase with the distance between the two alternatives in the true order, to reflect the intuition that a judge or voter is more prone to errors when confronted to two comparable alternatives than when confronted to a good alternative and a bad one. In this note, it is shown than, for a suitably chosen probability function, the maximum likelihood rule coincides with the Borda rule, thus, partially reconciling the Borda and the Condorcet methods.
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References listed on IDEAS
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- Mathias Risse, 2005. "Why the count de Borda cannot beat the Marquis de Condorcet," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 95-113, October.
- Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(1), pages 107-129, January.
- Mohamed Drissi-Bakhkhat & Michel Truchon, 2004.
"Maximum likelihood approach to vote aggregation with variable probabilities,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 23(2), pages 161-185, October.
- Drissi, Mohamed & Truchon, Michel, 2002. "Maximum Likelihood Approach to Vote Aggregation with Variable Probabilities," Cahiers de recherche 0211, Université Laval - Département d'économique.
- Michel Truchon, 2004.
"Aggregation of Rankings in Figure Skating,"
Cahiers de recherche
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