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A leximin characterization of strategy-proof and non-resolute social choice procedures

Author

Listed:
  • Jerry S. Kelly

    (Department of Economics, Syracuse University, Syracuse, NY 13245-1090, USA)

  • Donald E. Campbell

    (Department of Economics and The Program in Public Policy, The College of William and Mary, Williamsburg, VA 23187-8795, USA)

Abstract

We characterize strategy-proof social choice procedures when choice sets need not be singletons. Sets are compared by leximin. For a strategy-proof rule g, there is a positive integer k such that either (i) the choice sets g(r) for all profiles r have the same cardinality k and there is an individual i such that g(r) is the set of alternatives that are the k highest ranking in i's preference ordering, or (ii) all sets of cardinality 1 to k are chosen and there is a coalition L of cardinality k such that g(r) is the union of the tops for the individuals in L. There do not exist any strategy-proof rules such that the choice sets are all of cardinality $k^*$ to k where $1

Suggested Citation

  • Jerry S. Kelly & Donald E. Campbell, 2002. "A leximin characterization of strategy-proof and non-resolute social choice procedures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 809-829.
    • Handle: RePEc:spr:joecth:v:20:y:2002:i:4:p:809-829
    Note: Received: November 8, 1999; revised version: September 18, 2001
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    Citations

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    Cited by:

    1. Emre Doğan & M. Sanver, 2008. "Arrovian impossibilities in aggregating preferences over non-resolute outcomes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 495-506, April.
    2. Egor Ianovski & Mark C. Wilson, 2019. "Manipulability of consular election rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 363-393, February.
    3. Donald E. Campbell & Jerry S. Kelly, 2007. "Organ Transplants, Hiring Committees, and Early Rounds of the Kappell Piano Competition," Working Papers 51, Department of Economics, College of William and Mary.
    4. Chun-Hsien Yeh, 2008. "An efficiency characterization of plurality rule in collective choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 575-583, March.
    5. Özyurt, Selçuk & Sanver, M. Remzi, 2009. "A general impossibility result on strategy-proof social choice hyperfunctions," Games and Economic Behavior, Elsevier, vol. 66(2), pages 880-892, July.
    6. Bora Erdamar & M. Sanver, 2009. "Choosers as extension axioms," Theory and Decision, Springer, vol. 67(4), pages 375-384, October.
    7. Selçuk Özyurt & M. Sanver, 2008. "Strategy-proof resolute social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 89-101, January.

    More about this item

    Keywords

    Leximin; Non-resolute; Strategy-proof.;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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