IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v24y1976i2p245-255.html
   My bibliography  Save this article

Utility Independence on Subsets of Product Sets

Author

Listed:
  • Peter C. Fishburn

    (Pennsylvania State University, University Park, Pennsylvania)

Abstract

This paper investigates conditions for utility independence in the von Neumann-Morgenstern utility context when the set of consequences is an arbitrary subset of the Cartesian product of two sets. The strongest of three increasingly stronger conditions on preferences between gambles is shown to be necessary and sufficient for utility independence when the consequence set is finite. Examples show that this condition is not generally sufficient when the number of consequences is infinite.

Suggested Citation

  • Peter C. Fishburn, 1976. "Utility Independence on Subsets of Product Sets," Operations Research, INFORMS, vol. 24(2), pages 245-255, April.
    • Handle: RePEc:inm:oropre:v:24:y:1976:i:2:p:245-255
    DOI: 10.1287/opre.24.2.245
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.24.2.245
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.24.2.245?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
    ---><---

    Citations

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


    Cited by:

    1. Guitouni, Adel & Martel, Jean-Marc, 1998. "Tentative guidelines to help choosing an appropriate MCDA method," European Journal of Operational Research, Elsevier, vol. 109(2), pages 501-521, September.
    2. Rakesh Sarin & Peter Wakker, 1997. "A Single-Stage Approach to Anscombe and Aumann's Expected Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(3), pages 399-409.
    3. Onur Şeref & J. Paul Brooks & Bernice Huang & Stephen S. Fong, 2017. "Enumeration and Cartesian Product Decomposition of Alternate Optimal Fluxes in Cellular Metabolism," INFORMS Journal on Computing, INFORMS, vol. 29(2), pages 197-210, May.
    4. Schneider, Frank, 2008. "Multiple criteria decision making in application layer networks," Bayreuth Reports on Information Systems Management 36, University of Bayreuth, Chair of Information Systems Management.

    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:inm:oropre:v:24:y:1976:i:2:p:245-255. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.