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A search game taking account of attributes of searching resources

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  • Ryusuke Hohzaki

Abstract

This article deals with a two‐person zero‐sum game called a search allocation game (SAG), in which a searcher and a target participate as players. The searcher distributes his searching resources in a search space to detect the target. The effect of resources lasts a certain period of time and extends to some areas at a distance from the resources' dropped points. On the other hand, the target moves around in the search space to evade the searcher. In the history of search games, there has been little research covering the durability and reachability of searching resources. This article proposes two linear programming formulations to solve the SAG with durable and reachable resources, and at the same time provide an optimal strategy of distributing searching resources for the searcher and an optimal moving strategy for the target. Using examples, we will analyze the influences of two attributes of resources on optimal strategies. © 2007 Wiley Periodicals, Inc. Naval Research Logistics 2008

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:55:y:2008:i:1:p:76-90
    DOI: 10.1002/nav.20269
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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. John M. Danskin, 1968. "A Helicopter Versus Submarine Search Game," Operations Research, INFORMS, vol. 16(3), pages 509-517, June.
    4. Hohzaki, Ryusuke, 2006. "Search allocation game," European Journal of Operational Research, Elsevier, vol. 172(1), pages 101-119, July.
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