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Anonymous and neutral social choice: a unified framework for existence results, maximal domains and tie-breaking

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  • Onur Doğan

    (İstanbul Bilgi University)

  • Ayça Ebru Giritligil

    (İstanbul Bilgi University)

Abstract

We present a group-theoretical method to analyze and compare necessary and sufficient conditions on the size of the social choice problem for the existence of anonymous, neutral and resolute social choice and social welfare rules in a unified framework. We define the largest domain of preference profiles that would allow for the existence of such aggregation rules when said conditions are not met. We propose a tie-breaking procedure to obtain resolute refinements of social choice rules, which preserves anonymity and neutrality. Compatibility of this refinement procedure with simple monotonicity is compared with that of conventional tie-breaking mechanisms.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:reecde:v:26:y:2022:i:3:d:10.1007_s10058-021-00269-0
    DOI: 10.1007/s10058-021-00269-0
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. M. Sanver & William Zwicker, 2012. "Monotonicity properties and their adaptation to irresolute social choice rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 371-398, July.
    5. 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.
    6. Bubboloni, Daniela & Gori, Michele, 2016. "Resolute refinements of social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 37-49.
    7. Moulin, Herve, 1980. "Implementing efficient, anonymous and neutral social choice functions," Journal of Mathematical Economics, Elsevier, vol. 7(3), pages 249-269, December.
    8. Moulin, Herve, 1988. "Condorcet's principle implies the no show paradox," Journal of Economic Theory, Elsevier, vol. 45(1), pages 53-64, June.
    9. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Anonymous; Neutral and resolute social welfare/choice rules; Group theory; Anonymous and neutral tie-breaking; Monotonicity;
    All these keywords.

    JEL classification:

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

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