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The search for an intelligent evader concealed in one of an arbitrary number of regions

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  • J.C. Gittins
  • D.M. Roberts

Abstract

This paper considers the search for an evader concealed in one of an arbitrary number of regions, each of which is characterized by its detection probability. We shall be concerned here with the double‐sided problem in which the evader chooses this probability secretly, although he may not subsequently move; his aim is to maximize the expected time to detection, while the searcher attempts to minimize it. The situation where two regions are involved has been studied previously and reported on recently. This paper represents a continuation of this analysis. It is normally true that as the number of regions increases, optimal strategies for both searcher and evader are progressively more difficult to determine precisely. However it will be shown that, generally, satisfactory approximations to each are almost as easily derived as in the two region problem, and that the accuracy of such approximations is essentially independent of the number of regions. This means that so far as the evader is concerned, characteristics of the two‐region problem may be used to assess the accuracy of such approximate strategies for problems of more than two regions.

Suggested Citation

  • J.C. Gittins & D.M. Roberts, 1979. "The search for an intelligent evader concealed in one of an arbitrary number of regions," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(4), pages 651-666, December.
    • Handle: RePEc:wly:navlog:v:26:y:1979:i:4:p:651-666
    DOI: 10.1002/nav.3800260410
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    Cited by:

    1. Yolmeh, Abdolmajid & Baykal-Gürsoy, Melike, 2021. "Weighted network search games with multiple hidden objects and multiple search teams," European Journal of Operational Research, Elsevier, vol. 289(1), pages 338-349.
    2. Duvocelle, Benoit & Flesch, János & Staudigl, Mathias & Vermeulen, Dries, 2022. "A competitive search game with a moving target," European Journal of Operational Research, Elsevier, vol. 303(2), pages 945-957.
    3. 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.
    4. Lidbetter, Thomas & Lin, Kyle Y., 2019. "Searching for multiple objects in multiple locations," European Journal of Operational Research, Elsevier, vol. 278(2), pages 709-720.
    5. Garrec, Tristan & Scarsini, Marco, 2020. "Search for an immobile hider on a stochastic network," European Journal of Operational Research, Elsevier, vol. 283(2), pages 783-794.

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