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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 nationale des ponts et chaussées - 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 nationale des ponts et chaussées - 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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    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. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon, 2020. "Some regrettable grading scale effects under different versions of evaluative voting," Working Papers halshs-02926780, HAL.
    4. 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.
    5. Cho, Wonki Jo & Moreno-Ternero, Juan D., 2024. "On reaching social consent," Journal of Mathematical Economics, Elsevier, vol. 110(C).
    6. Josep Freixas, 2022. "An Aggregation Rule Based on the Binomial Distribution," Mathematics, MDPI, vol. 10(23), pages 1-14, November.
    7. Herrade Igersheim & François Durand & Aaron Hamlin & Jean-François Laslier, 2018. "Comparing Voting Methods : 2016 US Presidential Election," PSE Working Papers halshs-01972097, HAL.
    8. 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).

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