IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v103y1999i2d10.1023_a1021765121940.html
   My bibliography  Save this article

A Game Related to the Number of Hides Game

Author

Listed:
  • N. Zoroa

    (University of Murcia)

  • M. J. Fernández-Sáez

    (University of Murcia)

  • P. Zoroa

    (University of Murcia)

Abstract

In this paper, we study a discrete search game on an array of N ordered cells, with two players having opposite goals: player I (searcher) and player II (hider). Player II has to hide q objects at consecutive cells and player I can search p consecutive cells. The payoff to player I is the number of objects found by him. In some situations, the players need to adopt sophisticated strategies if they are to act optimally.

Suggested Citation

  • N. Zoroa & M. J. Fernández-Sáez & P. Zoroa, 1999. "A Game Related to the Number of Hides Game," Journal of Optimization Theory and Applications, Springer, vol. 103(2), pages 457-473, November.
    • Handle: RePEc:spr:joptap:v:103:y:1999:i:2:d:10.1023_a:1021765121940
    DOI: 10.1023/A:1021765121940
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1021765121940
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1021765121940?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.

    References listed on IDEAS

    as
    1. William H. Ruckle, 1992. "The Upper Risk of an Inspection Agreement," Operations Research, INFORMS, vol. 40(5), pages 877-884, October.
    2. K. Kikuta & W. H. Ruckle, 1997. "Accumulation Games, Part 1: Noisy Search," Journal of Optimization Theory and Applications, Springer, vol. 94(2), pages 395-408, August.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Steve Alpern & Robbert Fokkink & Christos Pelekis, 2012. "A Proof of the Kikuta–Ruckle Conjecture on Cyclic Caching of Resources," Journal of Optimization Theory and Applications, Springer, vol. 153(3), pages 650-661, June.
    2. N. Zoroa & M. J. Fernández-Sáez & P. Zoroa, 2004. "Search and Ambush Games with Capacities," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 431-450, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Steve Alpern & Robbert Fokkink & Christos Pelekis, 2012. "A Proof of the Kikuta–Ruckle Conjecture on Cyclic Caching of Resources," Journal of Optimization Theory and Applications, Springer, vol. 153(3), pages 650-661, June.
    2. K. Kikuta & W. H. Ruckle, 1997. "Accumulation Games, Part 1: Noisy Search," Journal of Optimization Theory and Applications, Springer, vol. 94(2), pages 395-408, August.
    3. Endre Csóka & Thomas Lidbetter, 2016. "The solution to an open problem for a caching game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(1), pages 23-31, February.
    4. Dömötör Pálvölgyi, 2018. "All or Nothing Caching Games with Bounded Queries," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-9, March.
    5. Oléron Evans, Thomas P. & Bishop, Steven R., 2013. "Static search games played over graphs and general metric spaces," European Journal of Operational Research, Elsevier, vol. 231(3), pages 667-689.
    6. Zoroa, N. & Zoroa, P. & Fernández-Sáez, M.J., 2009. "Weighted search games," European Journal of Operational Research, Elsevier, vol. 195(2), pages 394-411, June.
    7. Bastián Bahamondes & Mathieu Dahan, 2024. "Hide-and-Seek Game with Capacitated Locations and Imperfect Detection," Decision Analysis, INFORMS, vol. 21(2), pages 110-124, June.

    More about this item

    Keywords

    Zero sum games; search games;

    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:joptap:v:103:y:1999:i:2:d:10.1023_a:1021765121940. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.