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The search for an intelligent evader: Strategies for searcher and evader in the two‐region problem

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  • D. M. Roberts
  • J. C. Gittins

Abstract

This paper considers the search for an evader concealed in one of two regions, each of which is characterized by its detection probability. The single‐sided problem, in which the searcher is told the probability of the evader being located in a particular region, has been examined previously. We shall be concerned with the double‐sided problem in which the evader chooses this probability secretly, although he may not subsequently move: his optimal strategy consists of that probability distribution which maximizes the expected time to detection, while the searcher's optimal strategy is the sequence of searches which limits the evader to this expected time. It transpires for this problem that optimal strategies for both searcher and evader may generally be obtained to a surprisingly good degree of approximation by using the optimal strategies for the closely related (but far more easily solved) problem in which the evader is completely free to move between searches.

Suggested Citation

  • D. M. Roberts & J. C. Gittins, 1978. "The search for an intelligent evader: Strategies for searcher and evader in the two‐region problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(1), pages 95-106, March.
    • Handle: RePEc:wly:navlog:v:25:y:1978:i:1:p:95-106
    DOI: 10.1002/nav.3800250108
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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.
    6. Bui, Thuy & Lidbetter, Thomas & Lin, Kyle Y., 2024. "Optimal pure strategies for a discrete search game," European Journal of Operational Research, Elsevier, vol. 313(2), pages 767-775.

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