IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v45y2009i7-8p415-421.html
   My bibliography  Save this article

Uniformly bounded information and social choice

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(09)00020-2
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. repec:bla:econom:v:38:y:1971:i:152:p:413-20 is not listed on IDEAS
    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, September.
    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.
    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, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Donald E. Campbell & Jerry S. Kelly, 2007. "Uniformly Bounded Information and Social Choice," Working Papers 49, Department of Economics, College of William and Mary.
    2. Fleurbaey, Marc, 2007. "Two criteria for social decisions," Journal of Economic Theory, Elsevier, vol. 134(1), pages 421-447, May.
    3. Marc Fleurbaey & Koichi Tadenuma, 2007. "Do Irrelevant Commodities Matter?," Econometrica, Econometric Society, vol. 75(4), pages 1143-1174, July.
    4. Fleurbaey, Marc, 2007. "Two criteria for social decisions," Journal of Economic Theory, Elsevier, vol. 134(1), pages 421-447, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:45:y:2009:i:7-8:p:415-421. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.