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Formal utilitarianism and range voting

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  • Marcus Pivato

    (THEMA - Théorie économique, modélisation et applications - CNRS - Centre National de la Recherche Scientifique - CY - CY Cergy Paris Université)

Abstract

In formal utilitarian voting, each voter assigns a numerical value to each alternative, and society chooses the alternative with the highest total value. Range voting is similar, except that each voter’s values are constrained to lie in the interval [0,1]. We characterize these rules via the axioms of anonymity, neutrality, reinforcement, overwhelming majority, and two novel conditions: maximal expressiveness, and an absence of “minority overrides”.
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Suggested Citation

  • Marcus Pivato, 2014. "Formal utilitarianism and range voting," Post-Print hal-02979670, HAL.
    • Handle: RePEc:hal:journl:hal-02979670
    DOI: 10.1016/j.mathsocsci.2013.08.002
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    References listed on IDEAS

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    1. Carlos Alós-Ferrer, 2006. "A Simple Characterization of Approval Voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 621-625, December.
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    10. Pivato, Marcus, 2013. "Variable-population voting rules," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 210-221.
    11. Gaertner, Wulf & Xu, Yongsheng, 2012. "A general scoring rule," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 193-196.
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    13. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
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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. Baujard, Antoinette & Gavrel, Frédéric & Igersheim, Herrade & Laslier, Jean-François & Lebon, Isabelle, 2018. "How voters use grade scales in evaluative voting," European Journal of Political Economy, Elsevier, vol. 55(C), pages 14-28.
    3. Thierry Marchant, 2019. "Utilitarianism without individual utilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 1-19, June.
    4. Federica Ceron & Stéphane Gonzalez, 2019. "A characterization of Approval Voting without the approval balloting assumption," Working Papers halshs-02440615, HAL.
    5. Pivato, Marcus, 2013. "Variable-population voting rules," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 210-221.
    6. Antonin Macé, 2017. "Voting with evaluations: characterizations of evaluative voting and range voting," Working Papers halshs-01222200, HAL.
    7. Abdelhalim El Ouafdi & Dominique Lepelley & Hatem Smaoui, 2020. "On the Condorcet efficiency of evaluative voting (and other voting rules) with trichotomous preferences," Annals of Operations Research, Springer, vol. 289(2), pages 227-241, June.
    8. Warren D. Smith, 2023. "The case for score voting," Constitutional Political Economy, Springer, vol. 34(3), pages 297-309, September.
    9. Antonin Macé, 2015. "Voting with Evaluations: When Should We Sum? What Should We Sum?," AMSE Working Papers 1544, Aix-Marseille School of Economics, France, revised 29 Oct 2015.

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