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A simple characterization of the anti-plurality rule

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  • Kurihara, Takashi

Abstract

We axiomatize the anti-plurality rule by anonymity, neutrality, reinforcement, and new axioms, that is, averseness and bottoms-only. Averseness is a weaker axiom than faithfulness, and bottoms-only is the opposite of tops-only. Thus, we do not apply the characterization of a scoring social choice rule by anonymity, neutrality, reinforcement, and continuity to characterize the anti-plurality rule.

Suggested Citation

  • Kurihara, Takashi, 2018. "A simple characterization of the anti-plurality rule," Economics Letters, Elsevier, vol. 168(C), pages 110-111.
  • Handle: RePEc:eee:ecolet:v:168:y:2018:i:c:p:110-111
    DOI: 10.1016/j.econlet.2018.04.016
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    References listed on IDEAS

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    1. Sekiguchi, Yohei, 2012. "A characterization of the plurality rule," Economics Letters, Elsevier, vol. 116(3), pages 330-332.
    2. Eyal Baharad & Shmuel Nitzan, 2005. "The inverse plurality rule—an axiomatization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 173-178, October.
    3. Hansson, Bengt & Sahlquist, Henrik, 1976. "A proof technique for social choice with variable electorate," Journal of Economic Theory, Elsevier, vol. 13(2), pages 193-200, October.
    4. Ching, Stephen, 1996. "A Simple Characterization of Plurality Rule," Journal of Economic Theory, Elsevier, vol. 71(1), pages 298-302, October.
    5. 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.
    6. Yohei Sekiguchi, 2012. "A Characterization of the Plurality Rule," CIRJE F-Series CIRJE-F-833, CIRJE, Faculty of Economics, University of Tokyo.
    7. 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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    Cited by:

    1. Kurz, Sascha & Mayer, Alexander & Napel, Stefan, 2020. "Weighted committee games," European Journal of Operational Research, Elsevier, vol. 282(3), pages 972-979.
    2. Kurihara, Takashi, 2018. "Axiomatic characterisations of the basic best–worst rule," Economics Letters, Elsevier, vol. 172(C), pages 19-22.
    3. Jac C. Heckelman, 2023. "Negative voting social welfare functions: a characterization," Review of Economic Design, Springer;Society for Economic Design, vol. 27(1), pages 125-132, February.

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    More about this item

    Keywords

    Anti-plurality; Averseness; Bottoms-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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