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Pareto, Anonymity, and Independence: Four Alternatives

Author

Listed:
  • Donald E. Campbell

    (Department of Economics, College of William and Mary)

  • Jerry S. Kelly

    (Department of Economics, Syracuse University)

Abstract

For four alternatives and an even number of individuals, we prove a conjecture in a companion paper: It is impossible for a social choice rule to satisfy all of (1) Pareto, (2) anonymity, (3) full domain, and (4) independence of some alternative, a relaxation of ArrowÕs IIA.

Suggested Citation

  • Donald E. Campbell & Jerry S. Kelly, 2006. "Pareto, Anonymity, and Independence: Four Alternatives," Working Papers 39, Department of Economics, College of William and Mary.
    • Handle: RePEc:cwm:wpaper:39
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    File URL: http://economics.wm.edu/wp/cwm_wp39.pdf
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    References listed on IDEAS

    as
    1. Donald E. Campbell & Jerry S. Kelly, 2000. "Information and preference aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(1), pages 3-24.
    2. Campbell, Donald E. & Kelly, Jerry S., 2002. "Impossibility theorems in the arrovian framework," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 1, pages 35-94, Elsevier.
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    More about this item

    Keywords

    Pareto; anonymity; independence;
    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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