Borda and the Maximum Likelihood Approach to Vote Aggregation
AbstractDrissi-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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Bibliographic InfoPaper provided by CIRPEE in its series Cahiers de recherche with number 0623.
Date of creation: 2006
Date of revision:
Vote aggregation; ranking rules; maximum likelihood; Borda;
Other versions of this item:
- Truchon, Michel, 2008. "Borda and the maximum likelihood approach to vote aggregation," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 96-102, January.
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-07-02 (All new papers)
- NEP-CDM-2006-07-02 (Collective Decision-Making)
- NEP-DCM-2006-07-02 (Discrete Choice Models)
- NEP-ECM-2006-07-02 (Econometrics)
- NEP-POL-2006-07-02 (Positive Political Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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Cahiers de recherche
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Cahiers de recherche
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Cahiers de recherche
- Truchon, Michel & Gordon, Stephen, 2009. "Statistical comparison of aggregation rules for votes," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 199-212, March.
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