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The Unexpected Behavior of Plurality Rule

Author

Listed:
  • William V. Gehrlein

    (University of Delaware [Newark])

  • Dominique Lepelley

    (CEMOI - Centre d'Économie et de Management de l'Océan Indien - UR - Université de La Réunion)

Abstract

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.

Suggested Citation

  • William V. Gehrlein & Dominique Lepelley, 2008. "The Unexpected Behavior of Plurality Rule," Post-Print hal-01243483, HAL.
    • Handle: RePEc:hal:journl:hal-01243483
    DOI: 10.1007/s11238-008-9097-z
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    Cited by:

    1. is not listed on IDEAS
    2. William Gehrlein & Dominique Lepelley, 2010. "On the probability of observing Borda’s paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(1), pages 1-23, June.
    3. Brian Kogelmann, 2017. "Aggregating out of indeterminacy," Politics, Philosophy & Economics, , vol. 16(2), pages 210-232, May.

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    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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