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Condorcet-loser dominance between the plurality rule and other scoring rules

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  • Doi, Ryoga
  • Okamoto, Noriaki

Abstract

In a voting model with three alternatives, we show that for any non-Borda scoring rule, there exists at least one preference profile under which the scoring rule selects a Condorcet loser, whereas the plurality rule does not.

Suggested Citation

  • Doi, Ryoga & Okamoto, Noriaki, 2024. "Condorcet-loser dominance between the plurality rule and other scoring rules," Economics Letters, Elsevier, vol. 237(C).
  • Handle: RePEc:eee:ecolet:v:237:y:2024:i:c:s0165176524001356
    DOI: 10.1016/j.econlet.2024.111652
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    References listed on IDEAS

    as
    1. Eric Kamwa & Fabrice Valognes, 2017. "Scoring Rules and Preference Restrictions: The Strong Borda Paradox Revisited," Revue d'économie politique, Dalloz, vol. 127(3), pages 375-395.
    2. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    3. Noriaki Okamoto & Toyotaka Sakai, 2019. "The Borda rule and the pairwise-majority-loser revisited," Review of Economic Design, Springer;Society for Economic Design, vol. 23(1), pages 75-89, June.
    4. Peter Fishburn & William Gehrlein, 1976. "Borda's rule, positional voting, and Condorcet's simple majority principle," Public Choice, Springer, vol. 28(1), pages 79-88, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Borda rule; Plurality rule; Scoring rules; Condorcet loser;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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