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A characterization of the plurality rule

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  • Sekiguchi, Yohei

Abstract

We consider an axiomatic characterization of the plurality rule, which selects the alternative(s) most preferred by the largest number of individuals. We strengthen the characterization result of Yeh [Yeh, C.-H., 2008. An efficiency characterization of plurality rule in collective choice problems. Economic Theory 34, 575–583] by replacing efficiency axiom by the weaker axiom called faithfulness. Formally, we show that the plurality rule is the only rule satisfying anonymity, neutrality, reinforcement, tops-only, and faithfulness.

Suggested Citation

  • Sekiguchi, Yohei, 2012. "A characterization of the plurality rule," Economics Letters, Elsevier, vol. 116(3), pages 330-332.
    • Handle: RePEc:eee:ecolet:v:116:y:2012:i:3:p:330-332
    DOI: 10.1016/j.econlet.2012.03.025
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    References listed on IDEAS

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    5. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    6. B. Fine & K. Fine, 1974. "Social Choice and Individual Ranking I," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(3), pages 303-322.
    7. Semih Koray, 2000. "Self-Selective Social Choice Functions Verify Arrow and Gibbarad- Satterthwaite Theorems," Econometrica, Econometric Society, vol. 68(4), pages 981-996, July.
    8. Jordi Massó & Alejandro Neme, 2004. "A maximal domain of preferences for strategy-proof, efficient, and simple rules in the division problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(2), pages 187-206, October.
    9. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    10. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    11. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    12. Chun-Hsien Yeh, 2008. "An efficiency characterization of plurality rule in collective choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 575-583, March.
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    Citations

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    Cited by:

    1. Salvador Barberà & Walter Bossert & Kotaro Suzumura, 2021. "Daunou’s voting rule and the lexicographic assignment of priorities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 259-289, February.
    2. Z. Emel Öztürk, 2020. "Consistency of scoring rules: a reinvestigation of composition-consistency," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 801-831, September.
    3. Federico Fioravanti & Ulle Endriss, 2024. "Voting with Partial Orders: The Plurality and Anti-Plurality Classes," Papers 2404.17413, arXiv.org, revised Jun 2024.
    4. Barberà, Salvador & Bossert, Walter, 2023. "Opinion aggregation: Borda and Condorcet revisited," Journal of Economic Theory, Elsevier, vol. 210(C).
    5. Jac C. Heckelman, 2021. "Characterizing plurality using the majoritarian condition: a new proof and implications for other scoring rules," Public Choice, Springer, vol. 189(3), pages 335-346, December.
    6. Walter Bossert & Kotaro Suzumura, 2017. "The greatest unhappiness of the least number," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 637-655, December.
    7. Kurihara, Takashi, 2018. "Axiomatic characterisations of the basic best–worst rule," Economics Letters, Elsevier, vol. 172(C), pages 19-22.
    8. Hiroki Saitoh, 2022. "Characterization of tie-breaking plurality rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 139-173, July.
    9. Kurihara, Takashi, 2018. "A simple characterization of the anti-plurality rule," Economics Letters, Elsevier, vol. 168(C), pages 110-111.
    10. Z. Emel Ozturk, 2017. "A composition-consistency characterization of the plurality rule," Working Papers 2017_04, Business School - Economics, University of Glasgow.
    11. Wesley H. Holliday & Eric Pacuit, 2023. "An extension of May's Theorem to three alternatives: axiomatizing Minimax voting," Papers 2312.14256, arXiv.org, revised Jul 2024.
    12. Federico Fioravanti & Ulle Endriss, 2024. "Voting with Partial Orders: The Plurality and Anti-Plurality Classes," Working Papers 329, Red Nacional de Investigadores en Economía (RedNIE).

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    More about this item

    Keywords

    Plurality rule; Faithfulness; Reinforcement; Tops-only;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • 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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