IDEAS home Printed from
   My bibliography  Save this paper

Preference Representation via Pareto Dominance



Necessary and sufficient conditions are given for the existence of an Order isomorphism from a given preference relation to Euclidean n-dimensional space ordered by Pareto dominance. This result provides representation for some preference relations not representable by utility functions. It also helps categorize preference relations; for each n it partitions the set of preference relations into a representable class and a non-representable class.

Suggested Citation

  • Vicki Knoblauch, 1998. "Preference Representation via Pareto Dominance," Royal Holloway, University of London: Discussion Papers in Economics 98/3, Department of Economics, Royal Holloway University of London, revised Jan 1998.
  • Handle: RePEc:hol:holodi:9803

    Download full text from publisher

    File URL:
    Download Restriction: no

    More about this item


    Pareto dominance; order isomorphism; preferences;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory


    Access and download statistics


    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:hol:holodi:9803. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Claire Blackman) The email address of this maintainer does not seem to be valid anymore. Please ask Claire Blackman to update the entry or send us the correct email address. General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.