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Anonymous and neutral majority rules

Author

Listed:
  • Daniela Bubboloni

    (Dipartimento di Scienze per l'Economia e l'Impresa, Universita' degli Studi di Firenze)

  • Michele Gori

    (Dipartimento di Scienze per l'Economia e l'Impresa, Universita' degli Studi di Firenze)

Abstract
In the standard arrovian framework and under the assumptions that individual preferences and social outcomes are linear orders over 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 determine also general formulas for counting these rules and we explicitly determine their number in some special cases.

Suggested Citation

  • Daniela Bubboloni & Michele Gori, 2013. "Anonymous and neutral majority rules," Working Papers - Mathematical Economics 2013-02, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa, revised Oct 2013.
    • Handle: RePEc:flo:wpaper:2013-02
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    References listed on IDEAS

    as
    1. Asan, Goksel & Sanver, M. Remzi, 2006. "Maskin monotonic aggregation rules," Economics Letters, Elsevier, vol. 91(2), pages 179-183, May.
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    5. Campbell, Donald E. & Kelly, Jerry S., 2013. "Anonymity, monotonicity, and limited neutrality: Selecting a single alternative from a binary agenda," Economics Letters, Elsevier, vol. 118(1), pages 10-12.
    6. Campbell, Donald E. & Kelly, Jerry S., 2011. "Majority selection of one alternative from a binary agenda," Economics Letters, Elsevier, vol. 110(3), pages 272-273, March.
    7. Perry, Jonathan & Powers, Robert C., 2008. "Aggregation rules that satisfy anonymity and neutrality," Economics Letters, Elsevier, vol. 100(1), pages 108-110, July.
    8. Chichilnisky, Graciela, 1980. "Social choice and the topology of spaces of preferences," MPRA Paper 8006, University Library of Munich, Germany.
    9. J. Woeginger, Gerhard, 2003. "A new characterization of the majority rule," Economics Letters, Elsevier, vol. 81(1), pages 89-94, October.
    10. Asan, Goksel & Sanver, M. Remzi, 2002. "Another characterization of the majority rule," Economics Letters, Elsevier, vol. 75(3), pages 409-413, May.
    11. M. Sanver, 2009. "Characterizations of majoritarianism: a unified approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(1), pages 159-171, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. 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.
    2. Bubboloni, Daniela & Gori, Michele, 2016. "Resolute refinements of social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 37-49.
    3. 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.
    4. Bubboloni, Daniela & Gori, Michele, 2015. "Symmetric majority rules," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 73-86.
    5. Gersbach, Hans, 2017. "Flexible Majority Rules in democracyville: A guided tour," Mathematical Social Sciences, Elsevier, vol. 85(C), pages 37-43.
    6. Mostapha Diss & Michele Gori, 2022. "Majority properties of positional social preference correspondences," Theory and Decision, Springer, vol. 92(2), pages 319-347, March.
    7. Daniela Bubboloni & Michele Gori & Claudia Meo, 2024. "Resolute and symmetric mechanisms for two-sided matching problems," Papers 2404.01404, arXiv.org, revised Nov 2024.
    8. Lirong Xia, 2022. "Most Equitable Voting Rules," Papers 2205.14838, arXiv.org, revised Jul 2023.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. Lirong Xia, 2024. "Computing Most Equitable Voting Rules," Papers 2410.04179, arXiv.org.

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    More about this item

    Keywords

    Social welfare function; anonymity; neutrality; majority; linear order; group theory.;
    All these keywords.

    JEL classification:

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

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