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The Borda and Condorcet winners coincide for lexicographic preferences

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  • Moreno, Bernardo
  • Salmaso, Pietro

Abstract

We show that, for any lexicographic preference profile, the sets of Borda and Condorcet winners coincide. Moreover, the sets of Borda and Condorcet losers also coincide. However the binary relations induced by the Borda Count and the majority pairwise comparisons are not the same.

Suggested Citation

  • Moreno, Bernardo & Salmaso, Pietro, 2024. "The Borda and Condorcet winners coincide for lexicographic preferences," Economics Letters, Elsevier, vol. 238(C).
    • Handle: RePEc:eee:ecolet:v:238:y:2024:i:c:s0165176524001873
    DOI: 10.1016/j.econlet.2024.111704
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    References listed on IDEAS

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    1. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    2. Peter C. Fishburn, 1974. "Exceptional Paper--Lexicographic Orders, Utilities and Decision Rules: A Survey," Management Science, INFORMS, vol. 20(11), pages 1442-1471, July.
    3. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    4. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
    5. Berga, Dolors & Correa-Lopera, Guadalupe & Moreno, Bernardo, 2019. "Condorcet consistent scoring rules and single-peakedness," Economics Letters, Elsevier, vol. 181(C), pages 199-202.
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    More about this item

    Keywords

    Lexicographical preferences; Condorcet winner; Borda winner;
    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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