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Uniformly bounded information and social choice

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  • Campbell, Donald E.
  • Kelly, Jerry S.

Abstract

The set of alternatives is infinite. If social welfare function f satisfies the Pareto criterion and there is a positive integer [beta] such that for each pair of alternatives, {a,b}, there exists a set S(a,b) of at most [beta] alternatives such that a and b can be socially ordered on the basis of the profile of preferences restricted to just S(a,b), then there are arbitrarily large finite subsets of X within which f is dictatorial on a rich sub-domain of profiles.

Suggested Citation

  • Campbell, Donald E. & Kelly, Jerry S., 2009. "Uniformly bounded information and social choice," Journal of Mathematical Economics, Elsevier, vol. 45(7-8), pages 415-421, July.
    • Handle: RePEc:eee:mateco:v:45:y:2009:i:7-8:p:415-421
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    References listed on IDEAS

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    1. Steven J. Brams & William V. Gehrlein & Fred S. Roberts (ed.), 2009. "The Mathematics of Preference, Choice and Order," Studies in Choice and Welfare, Springer, number 978-3-540-79128-7, December.
    2. Blau, Julian H, 1971. "Arrow's Theorem with Weak Independence," Economica, London School of Economics and Political Science, vol. 38(152), pages 413-420, November.
    3. Marc Fleurbaey & François Maniquet, 2005. "Fair social orderings when agents have unequal production skills," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(1), pages 93-127, September.
    4. Donald E. Campbell & Jerry S. Kelly, 2009. "Pareto, Anonymity or Neutrality, but Not IIA: Countably Many Alternatives," Studies in Choice and Welfare, in: Steven J. Brams & William V. Gehrlein & Fred S. Roberts (ed.), The Mathematics of Preference, Choice and Order, pages 261-270, Springer.
    5. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2005. "Arrovian aggregation in economic environments: how much should we know about indifference surfaces?," Journal of Economic Theory, Elsevier, vol. 124(1), pages 22-44, September.
    6. Craven,John (ed.), 1992. "Social Choice," Cambridge Books, Cambridge University Press, number 9780521325363.
    7. Marc Fleurbaey, 2003. "On the informational basis of social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 347-384, October.
    8. Cowell, Frank A., 2006. "Microeconomics: Principles and Analysis," OUP Catalogue, Oxford University Press, number 9780199267774, Decembrie.
    9. Osborne, Dale K, 1976. "Irrelevant Alternatives and Social Welfare," Econometrica, Econometric Society, vol. 44(5), pages 1001-1015, September.
    10. Craven,John (ed.), 1992. "Social Choice," Cambridge Books, Cambridge University Press, number 9780521310512.
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    Cited by:

    1. 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.

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