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Uniformly Bounded Information and Social Choice

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  • Donald E. Campbell

    ()
    (Department of Economics, College of William and Mary)

  • Jerry S. Kelly

    ()
    (Department of Economics, Syracuse University)

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    Abstract

    The set of alternatives is infinite. If social welfare function f satisfies the Pareto criterion and there is a positive number β such that each pair of alternatives can be socially ordered without having to consult individual preference over a set with more than β alternatives then there are arbitrarily large finite subsets of X within which f is dictatorial when individual preferences are restricted to a rich subset of profiles.

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    File URL: http://economics.wm.edu/wp/cwm_wp49.pdf
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    Bibliographic Info

    Paper provided by Department of Economics, College of William and Mary in its series Working Papers with number 49.

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    Length: 16 pages
    Date of creation: 31 Jan 2007
    Date of revision:
    Handle: RePEc:cwm:wpaper:49

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    Postal: P.O. Box 8795, Williamsburg, VA 23187-8795
    Phone: (757) 221-4311
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    Web page: http://www.wm.edu/economics/
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    Related research

    Keywords: chromatic graphs; generalized IIA; social welfare function;

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    References

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    1. FLEURBAEY, Marc & MANIQUET, François, . "Fair social orderings when agents have unequal production skills," CORE Discussion Papers RP -1805, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2002. "Arrovian Aggregation in Economic Environments: How Much Should We Know About Indifference Surfaces?," Discussion Paper 121, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    3. Blau, Julian H, 1971. "Arrow's Theorem with Weak Independence," Economica, London School of Economics and Political Science, vol. 38(152), pages 413-20, November.
    4. 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.
    5. Osborne, Dale K, 1976. "Irrelevant Alternatives and Social Welfare," Econometrica, Econometric Society, vol. 44(5), pages 1001-15, September.
    6. Donald E. Campbell & Jerry S. Kelly, 2000. "Information and preference aggregation," Social Choice and Welfare, Springer, vol. 17(1), pages 3-24.
    7. Marc Fleurbaey, 2003. "On the informational basis of social choice," Social Choice and Welfare, Springer, vol. 21(2), pages 347-384, October.
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