On the probability of observing Borda’s paradox
Previous studies have shown that, when voters’ preferences become more internally consistent or mutually coherent, the probability of observing Condorcet’s Paradox of cyclic majorities is reduced and tends to zero, in accordance with intuition. The current study shows that the impact of an increasing degree of mutual coherence among voters’ preferences on the likelihood of observing Borda’s Paradox is much more subtle and more difficult to analyze. The degree of the impact in this case depends both on the measure of mutual coherence that is considered and on the voting rule that is used. In some circumstances, the probability that Borda’s Paradox will occur actually increases when voters’ preferences become more internally consistent.
(This abstract was borrowed from another version of this item.)
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 35 (2010)
Issue (Month): 1 (June)
|Contact details of provider:|| Web page: http://www.springer.com|
|Order Information:||Web: http://www.springer.com/economics/economic+theory/journal/355|
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.:
- Dominique Lepelley & Ahmed Louichi & Hatem Smaoui, 2006.
"On Ehrhart Polynomials and Probability Calculations in Voting Theory,"
Economics Working Paper Archive (University of Rennes 1 & University of Caen)
200610, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
- Dominique Lepelley & Ahmed Louichi & Hatem Smaoui, 2008. "On Ehrhart polynomials and probability calculations in voting theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 363-383, April.
- Dominique Lepelley & Ahmed Louichi & Hatem Smaoui, 2007. "On Ehrhart polynomials and probability calculations in voting theory," Post-Print hal-01245310, HAL.
- Thom Bezembinder, 1996. "The plurality majority converse under single peakedness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(3), pages 365-380.
- Lepelley, Dominique, 1993. "On the probability of electing the Condorcet," Mathematical Social Sciences, Elsevier, vol. 25(2), pages 105-116, February.
- William V. Gehrlein & Dominique Lepelley, 2008.
"The Unexpected Behavior of Plurality Rule,"
- Saari, Donald G. & Valognes, Fabrice, 1999. "The geometry of Black's single peakedness and related conditions," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 429-456, December.
- Van Newenhizen, Jill, 1992. "The Borda Method Is Most Likely to Respect the Condorcet Principle," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 69-83, January.
- Wilson, Mark C. & Pritchard, Geoffrey, 2007. "Probability calculations under the IAC hypothesis," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 244-256, December.
- William Gehrlein, 2005. "Probabilities of election outcomes with two parameters: The relative impact of unifying and polarizing candidates," Review of Economic Design, Springer;Society for Economic Design, vol. 9(4), pages 317-336, December.
When requesting a correction, please mention this item's handle: RePEc:spr:sochwe:v:35:y:2010:i:1:p:1-23. 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: (Sonal Shukla)or (Rebekah McClure)
If references are entirely missing, you can add them using this form.