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On the Infiltration Game

Author

Listed:
  • P. Goutal

    (Institut de Protection et de Sureté Nucléaire, B.P. 6, 92265 Fontenay-aux-Roses Cedex, France)

  • A. Garnaev

    (Department of Computational Mathematics, Saint Petersburg State University of Architecture and Civil Engineering, 2-ya Krasnoarmejskaya 4, Saint Petersburg 198005, Russia)

  • G. Garnaeva

    (Institute of Physics, 0N0I, Saint Petersburg State University, Star.Petergoff, Uljanovskaya 1, Saint Petersburg 198904, Russia)

Abstract

An infiltrator tries to go through a graph of n arcs, within a time limit, without being caught by a guard. The latter is allowed a restricted number of tentatives to catch the infiltrator. This paper describes optimal strategies and gives the value of this discrete zero-sum infiltration game.

Suggested Citation

  • P. Goutal & A. Garnaev & G. Garnaeva, 1997. "On the Infiltration Game," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(2), pages 215-221.
    • Handle: RePEc:spr:jogath:v:26:y:1997:i:2:p:215-221
    Note: Received December 1992 Revised version September 1995
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    Cited by:

    1. Zoroa, N. & Fernández-Sáez, M.J. & Zoroa, P., 2012. "Patrolling a perimeter," European Journal of Operational Research, Elsevier, vol. 222(3), pages 571-582.
    2. Alpern, Steve & Lidbetter, Thomas & Papadaki, Katerina, 2019. "Optimizing periodic patrols against short attacks on the line and other networks," European Journal of Operational Research, Elsevier, vol. 273(3), pages 1065-1073.
    3. Baykal-Gürsoy, Melike & Duan, Zhe & Poor, H. Vincent & Garnaev, Andrey, 2014. "Infrastructure security games," European Journal of Operational Research, Elsevier, vol. 239(2), pages 469-478.
    4. Steve Alpern & Alec Morton & Katerina Papadaki, 2011. "Patrolling Games," Operations Research, INFORMS, vol. 59(5), pages 1246-1257, October.
    5. Zoroa, N. & Zoroa, P. & Fernández-Sáez, M.J., 2009. "Weighted search games," European Journal of Operational Research, Elsevier, vol. 195(2), pages 394-411, June.

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