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Statistical comparison of aggregation rules for votes

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  • Truchon, Michel
  • Gordon, Stephen

Abstract

If individual voters observe the true ranking on a set of alternatives with error, then 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 voting or aggregation rule. These techniques are then applied to some well-known rules.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 57 (2009)
Issue (Month): 2 (March)
Pages: 199-212

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Handle: RePEc:eee:matsoc:v:57:y:2009:i:2:p:199-212

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Web page: http://www.elsevier.com/locate/inca/505565

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Keywords: Vote aggregation Ranking rules Maximum likelihood Optimal inference Monte Carlo;

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References

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  1. Michel Truchon, 2006. "Borda and the Maximum Likelihood Approach to Vote Aggregation," Cahiers de recherche 0623, CIRPEE.
  2. 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.
  3. Truchon, Michel, 1998. "Figure Skating and the Theory of Social Choice," Cahiers de recherche 9814, Université Laval - Département d'économique.
  4. Stephen Gordon & Michel Truchon, 2006. "Social Choice, Optimal Inference and Figure Skating," Cahiers de recherche 0624, CIRPEE.
  5. Michel Truchon, 2005. "Aggregation of Rankings: a Brief Review of Distance-Based Rules," Cahiers de recherche 0534, CIRPEE.
  6. Michel Truchon, 2004. "Aggregation of Rankings in Figure Skating," Cahiers de recherche 0414, CIRPEE.
  7. 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.
  8. 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.
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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. Marcus Pivato, 2013. "Voting rules as statistical estimators," Social Choice and Welfare, Springer, vol. 40(2), pages 581-630, February.
  3. Stephen Gordon & Michel Truchon, 2008. "Social choice, optimal inference and figure skating," Social Choice and Welfare, Springer, vol. 30(2), pages 265-284, February.

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