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Statistical Comparison of Aggregation Rules for Votes

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Author Info

  • Michel Truchon
  • Stephen Gordon

Abstract

If individual voters observe the true ranking on a set of alternatives with error, then the social choice problem, that is, the problem of aggregating their observations, is one of statistical inference. This study develops a statistical methodology that can be used to evaluate the properties of a given or aggregation rule. These techniques are then applied to some well-known rules.

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File URL: http://www.cirpee.org/fileadmin/documents/Cahiers_2006/CIRPEE06-25.pdf
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Bibliographic Info

Paper provided by CIRPEE in its series Cahiers de recherche with number 0625.

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Date of creation: 2006
Date of revision:
Handle: RePEc:lvl:lacicr:0625

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Related research

Keywords: Vote aggregation; ranking rules; figure skating; maximum likelihood; optimal inference; Monte Carlo; Kemeny; Borda;

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References

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  1. Michel Truchon, 2004. "Aggregation of Rankings in Figure Skating," Cahiers de recherche 0414, CIRPEE.
  2. Michel Truchon, 2005. "Aggregation of Rankings: a Brief Review of Distance-Based Rules," Cahiers de recherche 0534, CIRPEE.
  3. Truchon, Michel, 2008. "Borda and the maximum likelihood approach to vote aggregation," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 96-102, January.
  4. Kenneth J. Arrow & Herve Raynaud, 1986. "Social Choice and Multicriterion Decision-Making," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262511754, December.
  5. Jonathan Levin & Barry Nalebuff, 1995. "An Introduction to Vote-Counting Schemes," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 3-26, Winter.
  6. Truchon, Michel, 1998. "Figure Skating and the Theory of Social Choice," Cahiers de recherche 9814, Université Laval - Département d'économique.
  7. Mohamed Drissi-Bakhkhat & Michel Truchon, 2004. "Maximum likelihood approach to vote aggregation with variable probabilities," Social Choice and Welfare, Springer, vol. 23(2), pages 161-185, October.
  8. Stephen Gordon & Michel Truchon, 2006. "Social Choice, Optimal Inference and Figure Skating," Cahiers de recherche 0624, CIRPEE.
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Cited by:
  1. Michel Truchon, 2005. "Aggregation of Rankings: a Brief Review of Distance-Based Rules," Cahiers de recherche 0534, CIRPEE.
  2. Stephen Gordon & Michel Truchon, 2006. "Social Choice, Optimal Inference and Figure Skating," Cahiers de recherche 0624, CIRPEE.
  3. Pivato, Marcus, 2011. "Voting rules as statistical estimators," MPRA Paper 30292, University Library of Munich, Germany.

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