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Aggregation of Rankings: a Brief Review of Distance-Based Rules

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  • Michel Truchon

Abstract

Some researchers have addressed the problem of aggregating individual preferences or rankings by seeking a ranking that is closest to the individual rankings. Their methods differ according to the notion of distance that they use. The best known method of this sort is due to Kemeny. The first part of this paper offers a brief survey of some of these methods. Another way of approaching the aggregation of rankings is as a problem of optimal statistical inference, in which an expected loss is minimised. This approach requires a loss function, a concept closely related the notion of distance between rankings. The second part of this paper examines two classes of parametric functions and proposes one class for the optimal statistical inference problem.

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File URL: http://www.cirpee.org/fileadmin/documents/Cahiers_2005/CIRPEE05-34.pdf
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Bibliographic Info

Paper provided by CIRPEE in its series Cahiers de recherche with number 0534.

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Date of creation: 2005
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Handle: RePEc:lvl:lacicr:0534

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Related research

Keywords: Vote aggregation; ranking rules; distance; loss function; maximum likelihood; optimal inference; Kemeny;

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References

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  1. Wade D. Cook & Lawrence M. Seiford, 1982. "On the Borda-Kendall Consensus Method for Priority Ranking Problems," Management Science, INFORMS, vol. 28(6), pages 621-637, June.
  2. Wade D. Cook & Lawrence M. Seiford, 1978. "Priority Ranking and Consensus Formation," Management Science, INFORMS, vol. 24(16), pages 1721-1732, December.
  3. Truchon, Michel, 2004. "Aggregation of Rankings in Figure Skating," Cahiers de recherche 0402, Université Laval - Département d'économique.
  4. 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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Cited by:
  1. Michel Truchon & Stephen Gordon, 2006. "Statistical Comparison of Aggregation Rules for Votes," Cahiers de recherche 0625, CIRPEE.
  2. Stephen Gordon & Michel Truchon, 2006. "Social Choice, Optimal Inference and Figure Skating," Cahiers de recherche 0624, CIRPEE.

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