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Voting with evaluations: Characterizations of evaluative voting and range voting

Author

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  • Antonin Macé

    (PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract
I conduct an axiomatic analysis of voting rules in a context where voters evaluate each candidate by assigning her an evaluation from a pre-established set. I focus on additive rules, which follow the utilitarian paradigm. Characterization results are provided for each of the two prominent additive rules: Evaluative Voting when the evaluation set is finite and Range Voting when the evaluation set is [0.1]. These results are first obtained in a simple setting of ranking rules – where candidates are compared according to a ranking of their attributes – and are then extended to a more general setting of voting rules.

Suggested Citation

  • Antonin Macé, 2018. "Voting with evaluations: Characterizations of evaluative voting and range voting," Post-Print halshs-02087667, HAL.
    • Handle: RePEc:hal:journl:halshs-02087667
    DOI: 10.1016/j.jmateco.2018.09.002
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    References listed on IDEAS

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    Cited by:

    1. Justin Kruger & M. Remzi Sanver, 2021. "An Arrovian impossibility in combining ranking and evaluation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(3), pages 535-555, October.
    2. Herrade Igersheim & François Durand & Aaron Hamlin & Jean-François Laslier, 2018. "Comparing Voting Methods : 2016 US Presidential Election," Working Papers halshs-01972097, HAL.
    3. Josep Freixas, 2022. "An Aggregation Rule Based on the Binomial Distribution," Mathematics, MDPI, vol. 10(23), pages 1-14, November.
    4. Herrade Igersheim & François Durand & Aaron Hamlin & Jean-François Laslier, 2018. "Comparing Voting Methods : 2016 US Presidential Election," PSE Working Papers halshs-01972097, HAL.
    5. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon, 2021. "Some regrettable grading scale effects under different versions of evaluative voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 803-834, May.
    6. Igersheim, Herrade & Durand, François & Hamlin, Aaron & Laslier, Jean-François, 2022. "Comparing voting methods: 2016 US presidential election," European Journal of Political Economy, Elsevier, vol. 71(C).
    7. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon, 2020. "Some regrettable grading scale effects under different versions of evaluative voting," Working Papers halshs-02926780, HAL.
    8. Cho, Wonki Jo & Moreno-Ternero, Juan D., 2024. "On reaching social consent," Journal of Mathematical Economics, Elsevier, vol. 110(C).

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