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Formal utilitarianism and range voting

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  • Pivato, Marcus

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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  • Pivato, Marcus, 2014. "Formal utilitarianism and range voting," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 50-56.
    • Handle: RePEc:eee:matsoc:v:67:y:2014:i:c:p:50-56
    DOI: 10.1016/j.mathsocsci.2013.08.002
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    2. Lachat, Romain & Laslier, Jean-François, 2024. "Alternatives to plurality rule for single-winner elections: When do they make a difference?," European Journal of Political Economy, Elsevier, vol. 81(C).
    3. 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.
    4. 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.
    5. Federica Ceron & Stéphane Gonzalez, 2019. "A characterization of Approval Voting without the approval balloting assumption," Working Papers halshs-02440615, HAL.
    6. Warren D. Smith, 2023. "The case for score voting," Constitutional Political Economy, Springer, vol. 34(3), pages 297-309, September.
    7. 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.
    8. Pivato, Marcus, 2013. "Variable-population voting rules," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 210-221.
    9. Antonin Macé, 2017. "Voting with evaluations: characterizations of evaluative voting and range voting," Working Papers halshs-01222200, HAL.
    10. 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.

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