IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v27y2019i1d10.1007_s10100-017-0516-5.html
   My bibliography  Save this article

A composite game of hide and seek

Author

Listed:
  • Gordon McCormick

    (Naval Postgraduate School)

  • Guillermo Owen

    (Naval Postgraduate School)

Abstract

We consider a ‘manhunting’ game in which one player, the Hider, chooses one of several cells to hide and a second player, the Seeker, distributes his resources among the several cells. The cells differ in their characteristics: it may be easier to hide in some cells, or there may be a lower probability of betrayal in others, etc. The Hider’s survival probability depends on the characteristics of the cell chosen, as well as on the amount of resources which the Seeker expends in that cell. The Hider may need to carry out some activity while in his cell. If so, the activity creates a signal which can help the Seeker to locate the Hider. The Seeker must of course try to distinguish between the noise due to the activity and random “white” noise. We obtain a complete analytic solution for the case without signals. Simulation is used to develop good strategies for the case with signals.

Suggested Citation

  • Gordon McCormick & Guillermo Owen, 2019. "A composite game of hide and seek," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 1-14, March.
    • Handle: RePEc:spr:cejnor:v:27:y:2019:i:1:d:10.1007_s10100-017-0516-5
    DOI: 10.1007/s10100-017-0516-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-017-0516-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10100-017-0516-5?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. Lyn C. Thomas & Alan R. Washburn, 1991. "Dynamic Search Games," Operations Research, INFORMS, vol. 39(3), pages 415-422, June.
    2. Alan R. Washburn, 1980. "Search-Evasion Game in a Fixed Region," Operations Research, INFORMS, vol. 28(6), pages 1290-1298, December.
    Full references (including those not matched with items on IDEAS)

    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. Hohzaki, Ryusuke, 2006. "Search allocation game," European Journal of Operational Research, Elsevier, vol. 172(1), pages 101-119, July.
    2. Laan, Corine M. & van der Mijden, Tom & Barros, Ana Isabel & Boucherie, Richard J. & Monsuur, Herman, 2017. "An interdiction game on a queueing network with multiple intruders," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1069-1080.
    3. Ryusuke Hohzaki, 2008. "A search game taking account of attributes of searching resources," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(1), pages 76-90, February.
    4. Ryusuke Hohzaki, 2009. "A cooperative game in search theory," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(3), pages 264-278, April.
    5. J F J Vermeulen & M van den Brink, 2005. "The search for an alerted moving target," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(5), pages 514-525, May.
    6. David E. Jeffcoat & Pavlo A. Krokhmal & Olesya I. Zhupanska, 2006. "Effects of cueing in cooperative search," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(8), pages 814-821, December.
    7. Hohzaki, Ryusuke & Iida, Koji, 2000. "A search game when a search path is given," European Journal of Operational Research, Elsevier, vol. 124(1), pages 114-124, July.
    8. 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.
    9. Corine M Laan & Ana Isabel Barros & Richard J Boucherie & Herman Monsuur & Wouter Noordkamp, 2020. "Optimal deployment for anti-submarine operations with time-dependent strategies," The Journal of Defense Modeling and Simulation, , vol. 17(4), pages 419-434, October.
    10. Baykal-Gürsoy, Melike & Duan, Zhe & Poor, H. Vincent & Garnaev, Andrey, 2014. "Infrastructure security games," European Journal of Operational Research, Elsevier, vol. 239(2), pages 469-478.
    11. Robert F. Dell & James N. Eagle & Gustavo Henrique Alves Martins & Almir Garnier Santos, 1996. "Using multiple searchers in constrained‐path, moving‐target search problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(4), pages 463-480, June.
    12. Ryusuke Hohzaki, 2007. "Discrete search allocation game with false contacts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 46-58, February.
    13. Kyle Y. Lin & Michael P. Atkinson & Timothy H. Chung & Kevin D. Glazebrook, 2013. "A Graph Patrol Problem with Random Attack Times," Operations Research, INFORMS, vol. 61(3), pages 694-710, June.

    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:cejnor:v:27:y:2019:i:1:d:10.1007_s10100-017-0516-5. 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.