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Borda elimination rule and monotonicity paradoxes in three-candidate elections

Author

Listed:
  • Hatem Smaoui

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

  • Dominique Lepelley

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

  • Issofa Moyouwou

    (MASS - UY1 - Université de Yaoundé I)

Abstract

We derive analytical representations for the vulnerability of Borda Elimination Rule (BER) to Monotonicity Paradoxes. These results allow to compare BER vulnerability with that of Plurality Elimination Rule (or Plurality Runoff) and Negative Plurality Elimination Rule (or Coombs Rule), that suffer from the same pathologies. We show that BER performs better than these two rules at avoiding monotonicity failures. The probability model on which our results are based is the Impartial Anonymous Culture condition, often used in this kind of study.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Hatem Smaoui & Dominique Lepelley & Issofa Moyouwou, 2016. "Borda elimination rule and monotonicity paradoxes in three-candidate elections," Post-Print hal-01452550, HAL.
    • Handle: RePEc:hal:journl:hal-01452550
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    Cited by:

    1. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2018. "The Chamberlin-Courant Rule and the k-Scoring Rules: Agreement and Condorcet Committee Consistency," Working Papers hal-01757761, HAL.
    2. Daniela Bubboloni & Mostapha Diss & Michele Gori, 2020. "Extensions of the Simpson voting rule to the committee selection setting," Public Choice, Springer, vol. 183(1), pages 151-185, April.
    3. Dominique Lepelley & Issofa Moyouwou & Hatem Smaoui, 2018. "Monotonicity paradoxes in three-candidate elections using scoring elimination rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 1-33, January.
    4. Moyouwou, Issofa & Tchantcho, Hugue, 2017. "Asymptotic vulnerability of positional voting rules to coalitional manipulation," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 70-82.
    5. Dan S. Felsenthal & Hannu Nurmi, 2018. "Monotonicity Violations by Borda’s Elimination and Nanson’s Rules: A Comparison," Group Decision and Negotiation, Springer, vol. 27(4), pages 637-664, August.

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    Keywords

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    JEL classification:

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

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