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Weighted search games

Author

Listed:
  • Zoroa, N.
  • Zoroa, P.
  • Fernández-Sáez, M.J.

Abstract

In this paper we shall deal with search games in which the strategic situation is developed on a lattice. The main characteristic of these games is that the points in each column of the lattice have a specific associated weight which directly affects the payoff function. Thus, the points in different columns represent points of different strategic value. We solve three different types of games. The first involves search, ambush and mixed situations, the second is a search and inspection game and the last is related to the accumulative games.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:195:y:2009:i:2:p:394-411
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    References listed on IDEAS

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    1. V. J. Baston & A. Y. Garnaev, 1996. "A fast infiltration game on n arcs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(4), pages 481-489, June.
    2. William H. Ruckle, 1992. "The Upper Risk of an Inspection Agreement," Operations Research, INFORMS, vol. 40(5), pages 877-884, October.
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    5. N. Zoroa & M. J. Fernández-Sáez & P. Zoroa, 2004. "Search and Ambush Games with Capacities," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 431-450, November.
    6. John M. Auger, 1991. "An infiltration game on k arcs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 511-529, August.
    7. Zoroa, Noemi & Zoroa, Procopio & Jose Fernandez-Saez, M., 2003. "Raid games across a set with cyclic order," European Journal of Operational Research, Elsevier, vol. 145(3), pages 684-692, March.
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    Cited by:

    1. Leone, Pierre & Buwaya, Julia & Alpern, Steve, 2022. "Search-and-rescue rendezvous," European Journal of Operational Research, Elsevier, vol. 297(2), pages 579-591.
    2. 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.
    3. Kyle Y. Lin & Michael P. Atkinson & Timothy H. Chung & Kevin D. Glazebrook, 2013. "A Graph Patrol Problem with Random Attack Times," Operations Research, INFORMS, vol. 61(3), pages 694-710, June.
    4. Zoroa, N. & Fernández-Sáez, M.J. & Zoroa, P., 2012. "Patrolling a perimeter," European Journal of Operational Research, Elsevier, vol. 222(3), pages 571-582.
    5. Zoroa, N. & Fernández-Sáez, M.J. & Zoroa, P., 2011. "A foraging problem: Sit-and-wait versus active predation," European Journal of Operational Research, Elsevier, vol. 208(2), pages 131-141, January.
    6. Alpern, Steve & Fokkink, Robbert & Simanjuntak, Martin, 2016. "Optimal search and ambush for a hider who can escape the search region," European Journal of Operational Research, Elsevier, vol. 251(3), pages 707-714.

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