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Approval voting and Shapley ranking

Author

Listed:
  • DEHEZ Pierre,

    (Université catholique de Louvain, CORE, Belgium)

  • GINSBURGH Victor,

    (Université libre de Bruxelles and CORE)

Abstract

Approval voting allows voters to list any number of candidates. Their scores are obtained by summing the votes cast in their favor. Fractional voting instead follows the One-person-one-vote principle by endowing voters with a single vote that they may freely distribute among candidates. In this paper, we show that fairness requires the distribution of votes to be uniform. Uniform fractional voting corresponds to Shapley ranking that was introduced to rank wines as the Shapley value of a cooperative game with transferable utility. Here we analyze the properties of these "ranking games" and provide an axiomatic foundation to Shapley ranking. We also analyze Shapley ranking as a social welfare function and compare it to approval ranking.

Suggested Citation

  • DEHEZ Pierre, & GINSBURGH Victor,, 2018. "Approval voting and Shapley ranking," LIDAM Discussion Papers CORE 2018012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2018012
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2018.html
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    Cited by:

    1. is not listed on IDEAS
    2. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Decentralized revenue sharing from broadcasting sports," Public Choice, Springer, vol. 194(1), pages 27-44, January.
    3. Yakov Ben-Haim, 2021. "Approval and plurality voting with uncertainty: Info-gap analysis of robustness," Public Choice, Springer, vol. 189(1), pages 239-256, October.
    4. Victor Ginsburgh & Juan D. Moreno-Ternero, 2023. "The Eurovision Song Contest: voting rules, biases and rationality," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 47(2), pages 247-277, June.
    5. Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Mathematical indices for the influence of risk factors on the lethality of a disease," ThE Papers 21/02, Department of Economic Theory and Economic History of the University of Granada..
    6. Salvatore Barbaro & Anna-Sophie Kurella, 2025. "Dichotomous Preferences: Concepts, Measurement, and Evidence," Working Papers 2506, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    7. Ritu Dutta & Souvik Roy & Surajit Borkotokey, 2023. "The Generalized Shapley Value of Cooperative Games as a Social Preference Function," Group Decision and Negotiation, Springer, vol. 32(2), pages 277-300, April.
    8. Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2023. "Order preservation with dummies in the musseum pass problem," Papers 2307.00622, arXiv.org.
    9. Ritu Dutta & Rajnish Kumnar & Surajit Borkotokey, 2023. "How to choose a Compatible Committee?," Papers 2308.03507, arXiv.org.
    10. Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Social solidarity with dummies in the museum pass problem," ThE Papers 21/11, Department of Economic Theory and Economic History of the University of Granada..
    11. Ritu Dutta & Rajnish Kumar & Surajit Borkotokey, 2024. "How to choose a compatible committee?," Public Choice, Springer, vol. 201(1), pages 181-198, October.

    More about this item

    Keywords

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    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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