IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v80y1998i0p263-26810.1023-a1018920132295.html
   My bibliography  Save this article

A note on the existence of continuous representationsof homothetic preferences on a topological vector space

Author

Listed:
  • Gianni Bosi

Abstract

Let ≤ be a complete preorder on a cone K in a topological vector space E, and assume that 0 ≤ x for every x ∈ K. Necessary and sufficient conditions are given for the existenceof a utility function u for ≤, which is homogeneous of degree one and continuous. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • Gianni Bosi, 1998. "A note on the existence of continuous representationsof homothetic preferences on a topological vector space," Annals of Operations Research, Springer, vol. 80(0), pages 263-268, January.
    • Handle: RePEc:spr:annopr:v:80:y:1998:i:0:p:263-268:10.1023/a:1018920132295
    DOI: 10.1023/A:1018920132295
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1023/A:1018920132295
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1023/A:1018920132295?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Jan Heufer, 2013. "Testing revealed preferences for homotheticity with two-good experiments," Experimental Economics, Springer;Economic Science Association, vol. 16(1), pages 114-124, March.
    2. Bosi, Gianni & Zuanon, Magali E., 2003. "Continuous representability of homothetic preorders by means of sublinear order-preserving functions," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 333-341, July.
    3. Gianni Bosi, 2002. "Semicontinuous Representability of Homothetic Interval Orders by Means of Two Homogeneous Functionals," Theory and Decision, Springer, vol. 52(4), pages 303-312, June.
    4. Bosi, Gianni & Candeal, Juan Carlos & Indurain, Esteban, 2000. "Continuous representability of homothetic preferences by means of homogeneous utility functions," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 291-298, April.
    5. Castagnoli, Erio & Maccheroni, Fabio, 2000. "Restricting independence to convex cones," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 215-223, October.

    More about this item

    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:annopr:v:80:y:1998:i:0:p:263-268:10.1023/a:1018920132295. 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.