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Multi-winner rules analogous to the Plurality rule

Author

Listed:
  • Clinton Gubong Gassi

    (Université de Franche-Comté, CRESE, UR3190, F-25000 Besançon, France)

  • Frank Steffen

    (Faculty of Law, Business and Economics, University of Bayreuth, Germany)

Abstract

The aim of this paper is to identify the multi-winner voting rules that can be con- sidered as extension of the Plurality rule. Multi-winner voting addresses the problem of selecting a fixed-size subset of candidates, called a committee, from a larger set of available candidates based on the voters’ preferences. In the single-winner setting, where each voter provides a strict ranking of the candidates and the goal is to select a unique candidate, Yeh (2008) characterized the Plurality rule as the only voting rule satisfying five independent axioms: anonymity, neutrality, consistency, efficiency, and top-only. In this paper, we demonstrate that a natural extension of these axioms to the multi-winner framework allows us to identify a class of top-k counting rules as multi-winner analogous to the Plurality rule.

Suggested Citation

  • Clinton Gubong Gassi & Frank Steffen, 2024. "Multi-winner rules analogous to the Plurality rule," Working Papers 2024-18, CRESE.
    • Handle: RePEc:crb:wpaper:2024-18
    as

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    References listed on IDEAS

    as
    1. Piotr Faliszewski & Piotr Skowron & Arkadii Slinko & Nimrod Talmon, 2018. "Multiwinner analogues of the plurality rule: axiomatic and algorithmic perspectives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(3), pages 513-550, October.
    2. Skowron, Piotr & Faliszewski, Piotr & Slinko, Arkadii, 2019. "Axiomatic characterization of committee scoring rules," Journal of Economic Theory, Elsevier, vol. 180(C), pages 244-273.
    3. Ching, Stephen, 1996. "A Simple Characterization of Plurality Rule," Journal of Economic Theory, Elsevier, vol. 71(1), pages 298-302, October.
    4. Gehrlein, William V., 1985. "The Condorcet criterion and committee selection," Mathematical Social Sciences, Elsevier, vol. 10(3), pages 199-209, December.
    5. 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.
    6. Edith Elkind & Piotr Faliszewski & Piotr Skowron & Arkadii Slinko, 2017. "Properties of multiwinner voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 599-632, March.
    7. Debord, Bernard, 1993. "Prudent k-choice functions: properties and algorithms," Mathematical Social Sciences, Elsevier, vol. 26(1), pages 63-77, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Multi-winner; voting rules; axioms; Plurality rule; top-k counting rules.;
    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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