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Ambushing Random Walks III: More Continuous Models

Author

Listed:
  • William H. Ruckle

    (Clemson University, Clemson, South Carolina)

  • John R. Reay

    (Western Washington University, Bellingham, Washington)

Abstract

We continue our study of the following game theory problem: a traveler (BLUE) wishes to choose a path across a rectangle from left to right in such a way to avoid certain obstacles in the rectangle (called ambushes) which are chosen by his antagonist (RED). The game theoretic payoff might depend upon whether BLUE's path and the ambushes have a common point, or the payoff may be a function of how far the path proceeds before meeting the first ambush. These ambush games have analogous search games.

Suggested Citation

  • William H. Ruckle & John R. Reay, 1981. "Ambushing Random Walks III: More Continuous Models," Operations Research, INFORMS, vol. 29(1), pages 121-129, February.
    • Handle: RePEc:inm:oropre:v:29:y:1981:i:1:p:121-129
    DOI: 10.1287/opre.29.1.121
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    Cited by:

    1. Vic Baston & Kensaku Kikuta, 2009. "Technical Note---An Ambush Game with a Fat Infiltrator," Operations Research, INFORMS, vol. 57(2), pages 514-519, April.
    2. V. J. Baston & F. A. Bostock, 1987. "A continuous game of ambush," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(5), pages 645-654, October.
    3. V. J. Baston & F. A. Bostock, 1989. "A one‐dimensional helicopter‐submarine game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 479-490, August.
    4. K. T. Lee, 1990. "On ruckle's game of ambush," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(3), pages 355-363, June.
    5. Garrec, Tristan, 2019. "Continuous patrolling and hiding games," European Journal of Operational Research, Elsevier, vol. 277(1), pages 42-51.
    6. I.D. Woodward, 2003. "Discretization of the continuous ambush game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(5), pages 515-529, August.
    7. Hohzaki, Ryusuke & Iida, Koji, 2001. "Optimal ambushing search for a moving target," European Journal of Operational Research, Elsevier, vol. 133(1), pages 120-129, August.
    8. Vic Baston & Kensaku Kikuta, 2004. "An Ambush Game with an Unknown Number of Infiltrators," Operations Research, INFORMS, vol. 52(4), pages 597-605, August.

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