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A note on Approval Voting and electing the Condorcet loser

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)

  • Issofa Moyouwou

    (MASS - UY1 - Université de Yaoundé I)

Abstract

Analytical representations are developed for the probability that Approval Voting (AV) elects the Condorcet Loser in three-alternative elections with large electorates. A comparison of AV is then made to Plurality Rule (PR) to show that AV is much less susceptible to the risk of electing the Condorcet loser than PR. All calculations in this analysis are based on IAC-like assumptions.

Suggested Citation

  • William V. Gehrlein & Dominique Lepelley & Issofa Moyouwou, 2016. "A note on Approval Voting and electing the Condorcet loser," Post-Print hal-01452548, HAL.
    • Handle: RePEc:hal:journl:hal-01452548
    DOI: 10.1016/j.mathsocsci.2016.02.009
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    Cited by:

    1. Eric Kamwa, 2019. "Condorcet efficiency of the preference approval voting and the probability of selecting the Condorcet loser," Theory and Decision, Springer, vol. 87(3), pages 299-320, October.
    2. 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.
    3. 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.
    4. Eric Kamwa, 2023. "On two voting systems that combine approval and preferences: fallback voting and preference approval voting," Public Choice, Springer, vol. 196(1), pages 169-205, July.
    5. Barbaro, Salvatore, 2025. "Election methods and political polarization," Mathematical Social Sciences, Elsevier, vol. 135(C).
    6. Salvatore Barbaro & Anna-Sophie Kurella, 2025. "Dichotomous Preferences: Concepts, Measurement, and Evidence," Working Papers 2506, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    7. Salvatore Barbaro, 2024. "Electoral Methods and Political Polarization," Working Papers 2411, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    8. Eric Kamwa, 2018. "On the Condorcet Efficiency of the Preference Approval Voting and the Probability of Selecting the Condorcet Loser," Working Papers hal-01786121, HAL.

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