IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v35y1987i5p722-735.html
   My bibliography  Save this article

Decision Analysis Under States-Additive SSB Preferences

Author

Listed:
  • Irving H. Lavalle

    (Tulane University, New Orleans, Louisiana)

  • Peter C. Fishburn

    (AT&T Bell Laboratories, Murray Hill, New Jersey)

Abstract

We survey Fishburn's skew-symmetric bilinear (SSB) theory of risky choice under nonlinear and potentially nontransitive preferences and apply the states-additive special case in the context of decision analysis, showing that tractable characterizations of optimal choices are obtainable via linear programming once the decision has been expressed in normal (i.e., tabular) form. If preferences are transitive, they are also linear and representable by von Neumann-Morgenstern utility, in which case optimal choices may be obtained by the familiar recursion analysis of the extensive (i.e., tree) form.

Suggested Citation

  • Irving H. Lavalle & Peter C. Fishburn, 1987. "Decision Analysis Under States-Additive SSB Preferences," Operations Research, INFORMS, vol. 35(5), pages 722-735, October.
    • Handle: RePEc:inm:oropre:v:35:y:1987:i:5:p:722-735
    DOI: 10.1287/opre.35.5.722
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.35.5.722
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.35.5.722?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. Matteo Brunelli & Bice Cavallo, 2020. "Incoherence measures and relations between coherence conditions for pairwise comparisons," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 613-635, December.
    2. Bouyssou, Denis & Pirlot, Marc, 2004. "A note on Wakker's Cardinal Coordinate Independence," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 11-22, July.
    3. Denis Bouyssou & Marc Pirlot, 2008. "On some ordinal models for decision making under uncertainty," Annals of Operations Research, Springer, vol. 163(1), pages 19-48, October.

    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:35:y:1987:i:5:p:722-735. 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.