IDEAS home Printed from https://ideas.repec.org/a/spr/specre/v4y2002i2p151-158.html
   My bibliography  Save this article

Preference revelation with a limited number of indifference classes

Author

Listed:
  • Donald E.Campbell

    (Department of Economics, The College of William and Mary, P.O. Box 8755 Williamsburg, VA 23181-8755, USA Department of Economics, Syracuse University, Maxwell Hall, Syracuse, NY x13244-1090, USA)

  • Jerry S. Kelly

    (Department of Economics, The College of William and Mary, P.O. Box 8755 Williamsburg, VA 23181-8755, USA Department of Economics, Syracuse University, Maxwell Hall, Syracuse, NY x13244-1090, USA)

Abstract

Suppose that g is a strategy-proof social choice rule on the domain of all profiles of complete and transitive binary relations that have exactly m indifference classes. If $m \ge 3$ and the range of g has three or more members, then g is dictatorial. If m = 2, then for any set X of feasible alternatives, there exist non-dictatorial and strategy-proof rules that are sensitive to the preferences of every individual and which have X as range.

Suggested Citation

  • Donald E.Campbell & Jerry S. Kelly, 2002. "Preference revelation with a limited number of indifference classes," Spanish Economic Review, Springer;Spanish Economic Association, vol. 4(2), pages 151-158.
    • Handle: RePEc:spr:specre:v:4:y:2002:i:2:p:151-158
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/10108/papers/2004002/20040151.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

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

    Citations

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


    Cited by:

    1. Alexander Reffgen, 2011. "Generalizing the Gibbard–Satterthwaite theorem: partial preferences, the degree of manipulation, and multi-valuedness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(1), pages 39-59, June.

    More about this item

    Keywords

    Dictatorship; indifference classes; oligarchy; strategy-proof;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

    Statistics

    Access and download statistics

    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:spr:specre:v:4:y:2002:i:2:p:151-158. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.