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The Unexpected Behavior of Plurality Rule

  • William Gehrlein
  • Dominique Lepelley

    ()

When voters’ preferences on candidates are mutually coherent, in the sense that they are at all close to being perfectly single-peaked, perfectly single-troughed, or perfectly polarized, there is a large probability that a Condorcet Winner exists in elections with a small number of candidates. Given this fact, the study develops representations for Condorcet Efficiency of plurality rule as a function of the proximity of voters’ preferences on candidates to being perfectly single-peaked, perfectly single-troughed or perfectly polarized. We find that the widely used plurality rule has Condorcet Efficiency values that behave in very different ways under each of these three models of mutual coherence.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/s11238-008-9097-z
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Article provided by Springer in its journal Theory and Decision.

Volume (Year): 67 (2009)
Issue (Month): 3 (September)
Pages: 267-293

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Handle: RePEc:kap:theord:v:67:y:2009:i:3:p:267-293
Contact details of provider: Web page: http://www.springerlink.com/link.asp?id=100341

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  1. Gehrlein, William V., 1982. "Condorcet efficiency and constant scoring rules," Mathematical Social Sciences, Elsevier, vol. 2(2), pages 123-130, March.
  2. Berg, Sven, 1985. "A note on plurality distortion in large committees," European Journal of Political Economy, Elsevier, vol. 1(2), pages 271-284.
  3. 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.
  4. Dominique Lepelley, 1994. "Condorcet efficiency of positional voting rules with single-peaked preferences," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 289-299, December.
  5. William V. Gehrlein & Dominique Lepelley, 1999. "Condorcet efficiencies under the maximal culture condition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 471-490.
  6. 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.
  7. Gehrlein, William V. & Fishburn, Peter C., 1978. "Probabilities of election outcomes for large electorates," Journal of Economic Theory, Elsevier, vol. 19(1), pages 38-49, October.
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