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The finer structure of resolute, neutral, and anonymous social choice correspondences

Author

Listed:
  • Campbell, Donald E.
  • Kelly, Jerry S.

Abstract

When the number of alternatives exceeds the smallest prime dividing the number of individuals, all social choice functions satisfying resoluteness, neutrality, and anonymity (RNA rules) sometimes choose alternatives that everyone ranks near the bottom. When the number of individuals is divisible by two or more distinct primes, RNA rules only exist for a small (finite) number of values of the number of alternatives.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ecolet:v:132:y:2015:i:c:p:109-111
    DOI: 10.1016/j.econlet.2015.04.026
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    Citations

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    Cited by:

    1. Lirong Xia, 2022. "Most Equitable Voting Rules," Papers 2205.14838, arXiv.org, revised Jul 2023.
    2. Hiroki Saitoh, 2022. "Characterization of tie-breaking plurality rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 139-173, July.
    3. Ali Ihsan Ozkes & M. Remzi Sanver, 2017. "Procedural versus Opportunity-Wise Equal Treatment of Alternatives: Neutrality Revisited," AMSE Working Papers 1736, Aix-Marseille School of Economics, France.
    4. Daniela Bubboloni & Michele Gori, 2021. "Breaking ties in collective decision-making," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 411-457, June.
    5. 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.
    6. Bubboloni, Daniela & Gori, Michele, 2016. "Resolute refinements of social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 37-49.
    7. Onur Doğan & Ayça Ebru Giritligil, 2022. "Anonymous and neutral social choice: a unified framework for existence results, maximal domains and tie-breaking," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 469-489, September.
    8. Onur Doğan & Ayça Ebru Giritligil, 2015. "Anonymous and Neutral Social Choice:Existence Results on Resoluteness," Working Papers 201501, Murat Sertel Center for Advanced Economic Studies, Istanbul Bilgi University.

    More about this item

    Keywords

    Resoluteness; Neutrality; Anonymity; Perverse; Schur’s theorem; Frobenius number;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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