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Characterizing the resolute part of monotonic social choice correspondences

Author

Listed:
  • Fasil Alemante

    (The College of William and Mary)

  • Donald E. Campbell

    (The College of William and Mary)

  • Jerry S. Kelly

    (Syracuse University)

Abstract

The resolute domain of a social choice correspondence is the set of profiles at which only one alternative is selected. The Condorcet, plurality, approval voting, and maximin correspondences—restricted to their respective resolute domains—satisfy anonymity, neutrality, and a strong monotonicity condition, but are not characterized by those three conditions. We present examples illustrating this and provide additional conditions that do suffice for characterization.

Suggested Citation

  • Fasil Alemante & Donald E. Campbell & Jerry S. Kelly, 2016. "Characterizing the resolute part of monotonic social choice correspondences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(4), pages 765-783, October.
    • Handle: RePEc:spr:joecth:v:62:y:2016:i:4:d:10.1007_s00199-015-0930-7
    DOI: 10.1007/s00199-015-0930-7
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    References listed on IDEAS

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    Cited by:

    1. Kelly, Jerry S. & Qi, Shaofang, 2019. "Balancedness of social choice correspondences," Mathematical Social Sciences, Elsevier, vol. 102(C), pages 59-67.
    2. Deirdre Haskell & Jeremiah Hurley & Junying Zhao, 2023. "The Possibility of Anonymous Social Orderings Using Curvature of Indifference Hypersurfaces," Department of Economics Working Papers 2023-06, McMaster University.
    3. 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.

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    More about this item

    Keywords

    Social choice correspondence; Social choice function; Resolute domain; Anonymity; Neutrality; Monotonicity; Upper invariance; Lower invariance; Condorcet; Plurality voting; Approval voting; Maximin;
    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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