Advanced Search
MyIDEAS: Login to save this paper or follow this series

Borda and the Maximum Likelihood Approach to Vote Aggregation

Contents:

Author Info

  • Michel Truchon

Abstract

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.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.cirpee.org/fileadmin/documents/Cahiers_2006/CIRPEE06-23.pdf
Download Restriction: no

Bibliographic Info

Paper provided by CIRPEE in its series Cahiers de recherche with number 0623.

as in new window
Length:
Date of creation: 2006
Date of revision:
Handle: RePEc:lvl:lacicr:0623

Contact details of provider:
Postal: CP 8888, succursale Centre-Ville, Montréal, QC H3C 3P8
Phone: (514) 987-8161
Web page: http://www.cirpee.org/
More information through EDIRC

Related research

Keywords: Vote aggregation; ranking rules; maximum likelihood; Borda;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
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.:
as in new window
  1. Michel Truchon, 2004. "Aggregation of Rankings in Figure Skating," Cahiers de recherche 0414, 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. Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer, vol. 26(1), pages 107-129, January.
  4. Mathias Risse, 2005. "Why the count de Borda cannot beat the Marquis de Condorcet," Social Choice and Welfare, Springer, vol. 25(1), pages 95-113, October.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. T. Tideman & Florenz Plassmann, 2014. "Which voting rule is most likely to choose the “best” candidate?," Public Choice, Springer, vol. 158(3), pages 331-357, March.
  2. Conitzer, Vincent, 2012. "Should social network structure be taken into account in elections?," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 100-102.
  3. Jean-François Laslier, 2009. "In Silico Voting Experiments," Working Papers hal-00390376, HAL.
  4. Truchon, Michel & Gordon, Stephen, 2009. "Statistical comparison of aggregation rules for votes," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 199-212, March.
  5. Pivato, Marcus, 2011. "Voting rules as statistical estimators," MPRA Paper 30292, University Library of Munich, Germany.
  6. Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2011. "Borda voting is non-manipulable but cloning manipulation is possible," MPRA Paper 50848, University Library of Munich, Germany, revised 10 Jan 2012.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:lvl:lacicr:0623. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Johanne Perron).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.