IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v30y1982i5p998-1008.html
   My bibliography  Save this article

Generalized Network Problems Yielding Totally Balanced Games

Author

Listed:
  • Ehud Kalai

    (Northwestern University, Evanston, Illinois)

  • Eitan Zemel

    (Northwestern University, Evanston, Illinois)

Abstract

A class of multiperson mathematical optimization problems is considered and is shown to generate cooperative games with nonempty cores. The class includes, but is not restricted to, numerous versions of network flow problems. It was shown by Owen that for games generated by linear programming optimization problems, optimal dual solutions correspond to points in the core. We identify a special class of network flow problems for which the converse is true, i.e., every point in the core corresponds to an optimal dual solution.

Suggested Citation

  • Ehud Kalai & Eitan Zemel, 1982. "Generalized Network Problems Yielding Totally Balanced Games," Operations Research, INFORMS, vol. 30(5), pages 998-1008, October.
    • Handle: RePEc:inm:oropre:v:30:y:1982:i:5:p:998-1008
    DOI: 10.1287/opre.30.5.998
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.30.5.998
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.30.5.998?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
    ---><---

    Other versions of this item:

    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:30:y:1982:i:5:p:998-1008. 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.