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Anonymous and neutral majority rules

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  • Daniela Bubboloni
  • Michele Gori

Abstract

In the standard arrovian framework and under the assumption that individual preferences and social outcomes are linear orders on the set of alternatives, we provide necessary and sufficient conditions for the existence of anonymous and neutral rules and for the existence of anonymous and neutral majority rules. We also determine a general method for constructing and counting these rules and we explicitly apply it to some simple cases. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Daniela Bubboloni & Michele Gori, 2014. "Anonymous and neutral majority rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 377-401, August.
    • Handle: RePEc:spr:sochwe:v:43:y:2014:i:2:p:377-401
    DOI: 10.1007/s00355-013-0787-2
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Daniela Bubboloni & Michele Gori & Claudia Meo, 2024. "Symmetric mechanisms for two-sided matching problems," Papers 2404.01404, arXiv.org.
    2. Lirong Xia, 2022. "Most Equitable Voting Rules," Papers 2205.14838, arXiv.org, revised Jul 2023.
    3. 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.
    4. 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.
    5. Mostapha Diss & Michele Gori, 2022. "Majority properties of positional social preference correspondences," Theory and Decision, Springer, vol. 92(2), pages 319-347, March.
    6. 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.
    7. 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.
    8. Bubboloni, Daniela & Gori, Michele, 2016. "On the reversal bias of the Minimax social choice correspondence," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 53-61.
    9. Bubboloni, Daniela & Gori, Michele, 2016. "Resolute refinements of social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 37-49.
    10. 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.
    11. Bubboloni, Daniela & Gori, Michele, 2015. "Symmetric majority rules," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 73-86.
    12. Gersbach, Hans, 2017. "Flexible Majority Rules in democracyville: A guided tour," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 37-43.
    13. Daniela Bubboloni & Michele Gori, 2013. "Anonymous, neutral and reversal symmetric majority rules," Working Papers - Mathematical Economics 2013-05, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    14. 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.
    15. Lirong Xia, 2024. "Computing Most Equitable Voting Rules," Papers 2410.04179, arXiv.org.

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    More about this item

    JEL classification:

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

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