IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v29y2000i2p289-303.html
   My bibliography  Save this article

Games with finite resources

Author

Listed:
  • Thomas S. Ferguson

    (Department of Mathematics, University of California at Los Angeles, Los Angeles, CA 90095, USA)

  • Costis Melolidakis

    (Department of Mathematics, University of Athens, Panepistemiopolis, GR 157 84, Athens Greece)

Abstract

Games with Finite Resources as defined by Gale (1957) are two-person zero-sum N-stage games in which each player has N resources and may use each resource once and only once in the N stages. Gale's theorem on these games is generalized in several directions. First the payoff is allowed to be any symmetric function of the stage payoffs. Second, the players are allowed some latitude in choosing which game is being played. Applications are given to some open questions in the area of Inspection Games. Finally the payoff is allowed to be random, thus incorporating a result of Ross (1972) on Goofspiel. Application is made to a game-theoretic version of the Generalized House Selling Problem.

Suggested Citation

  • Thomas S. Ferguson & Costis Melolidakis, 2000. "Games with finite resources," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(2), pages 289-303.
    • Handle: RePEc:spr:jogath:v:29:y:2000:i:2:p:289-303
    Note: Received August 1999/revised version March 2000
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00182/papers/0029002/00290289.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

    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. Bernhard von Stengel, 2016. "Recursive Inspection Games," Mathematics of Operations Research, INFORMS, vol. 41(3), pages 935-952, August.

    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:jogath:v:29:y:2000:i:2:p:289-303. 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.