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Equitable, neutral, and efficient voting rules

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  • Kivinen, Steven

Abstract

In the context of voting, Moulin (1980) establishes that anonymity, neutrality, and efficiency are often incompatible unless one accepts indecision (i.e. ties). We show that versions of this incompatibility continue to hold for a natural weakening of anonymity proposed by Bartholdi et al. (2021) called equity. As equity is a relatively weak fairness requirement, the tension between fairness and efficiency in voting is deeper than previously established.

Suggested Citation

  • Kivinen, Steven, 2024. "Equitable, neutral, and efficient voting rules," Journal of Mathematical Economics, Elsevier, vol. 115(C).
    • Handle: RePEc:eee:mateco:v:115:y:2024:i:c:s0304406824001216
    DOI: 10.1016/j.jmateco.2024.103061
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    References listed on IDEAS

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    1. Lirong Xia, 2022. "Most Equitable Voting Rules," Papers 2205.14838, arXiv.org, revised Jul 2023.
    2. Campbell, Donald E. & Kelly, Jerry S., 2015. "The finer structure of resolute, neutral, and anonymous social choice correspondences," Economics Letters, Elsevier, vol. 132(C), pages 109-111.
    3. Moulin, Herve, 1980. "Implementing efficient, anonymous and neutral social choice functions," Journal of Mathematical Economics, Elsevier, vol. 7(3), pages 249-269, December.
    4. Kivinen, Steven, 2023. "On the manipulability of equitable voting rules," Games and Economic Behavior, Elsevier, vol. 141(C), pages 286-302.
    5. Moulin,Hervi, 1991. "Axioms of Cooperative Decision Making," Cambridge Books, Cambridge University Press, number 9780521424585, Enero-Abr.
    6. Ali I. Ozkes & M. Remzi Sanver, 2021. "Anonymous, neutral, and resolute social choice revisited," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 97-113, July.
    7. Stergios Athanasoglou & Somouaoga Bonkoungou & Lars Ehlers, 2023. "Strategy-proof preference aggregation and the anonymity-neutrality tradeoff," Working Papers 519, University of Milano-Bicocca, Department of Economics, revised Apr 2025.
    8. Laurent Bartholdi & Wade Hann‐Caruthers & Maya Josyula & Omer Tamuz & Leeat Yariv, 2021. "Equitable Voting Rules," Econometrica, Econometric Society, vol. 89(2), pages 563-589, March.
    9. Packel, Edward W., 1980. "Transitive permutation groups and equipotent voting rules," Mathematical Social Sciences, Elsevier, vol. 1(1), pages 93-100, September.
    10. Ali I. Ozkes & M. Remzi Sanver, 2021. "Correction to: Anonymous, neutral, and resolute social choice revisited," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 115-115, July.
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