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Discrete search allocation game with false contacts

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  • Ryusuke Hohzaki

Abstract

This paper deals with a two‐person zero‐sum game called a search allocation game, where a searcher and a target participate, taking account of false contacts. The searcher distributes his search effort in a search space in order to detect the target. On the other hand, the target moves to avoid the searcher. As a payoff of the game, we take the cumulative amount of search effort weighted by the target distribution, which can be derived as an approximation of the detection probability of the target. The searcher's strategy is a plan of distributing search effort and the target's is a movement represented by a path or transition probability across the search space. In the search, there are false contacts caused by environmental noises, signal processing noises, or real objects resembling true targets. If they happen, the searcher must take some time for their investigation, which interrupts the search for a while. There have been few researches dealing with search games with false contacts. In this paper, we formulate the game into a mathematical programming problem to obtain its equilibrium point. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007

Suggested Citation

  • Ryusuke Hohzaki, 2007. "Discrete search allocation game with false contacts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 46-58, February.
    • Handle: RePEc:wly:navres:v:54:y:2007:i:1:p:46-58
    DOI: 10.1002/nav.20177
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    References listed on IDEAS

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    1. Alan R. Washburn, 1980. "Search-Evasion Game in a Fixed Region," Operations Research, INFORMS, vol. 28(6), pages 1290-1298, December.
    2. James N. Eagle & Alan R. Washburn, 1991. "Cumulative search‐evasion games," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 495-510, August.
    3. 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.
    4. John M. Danskin, 1968. "A Helicopter Versus Submarine Search Game," Operations Research, INFORMS, vol. 16(3), pages 509-517, June.
    5. Hohzaki, Ryusuke, 2006. "Search allocation game," European Journal of Operational Research, Elsevier, vol. 172(1), pages 101-119, July.
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