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The search value of a set

Author

Listed:
  • Robbert Fokkink

    (Delft Institute of Applied Mathematics)

  • Ken Kikuta

    (University of Hyogo)

  • David Ramsey

    (Wroclaw University of Science and Technology)

Abstract

We study search games in which the hider may hide in a finite number of locations. We assume that the cost of searching these locations does not depend on the order in which the locations are searched. From these assumptions we derive that the cost function is submodular, thus placing search games with an immobile hider in the context of coalitional games.

Suggested Citation

  • Robbert Fokkink & Ken Kikuta & David Ramsey, 2017. "The search value of a set," Annals of Operations Research, Springer, vol. 256(1), pages 63-73, September.
    • Handle: RePEc:spr:annopr:v:256:y:2017:i:1:d:10.1007_s10479-016-2252-y
    DOI: 10.1007/s10479-016-2252-y
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    References listed on IDEAS

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    1. Steve Alpern & Thomas Lidbetter, 2013. "Mining Coal or Finding Terrorists: The Expanding Search Paradigm," Operations Research, INFORMS, vol. 61(2), pages 265-279, April.
    2. Lidbetter, Thomas, 2013. "Search games with multiple hidden objects," LSE Research Online Documents on Economics 55103, London School of Economics and Political Science, LSE Library.
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    Cited by:

    1. Felix Happach & Lisa Hellerstein & Thomas Lidbetter, 2022. "A General Framework for Approximating Min Sum Ordering Problems," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1437-1452, May.
    2. Lisa Hellerstein & Thomas Lidbetter & Daniel Pirutinsky, 2019. "Solving Zero-Sum Games Using Best-Response Oracles with Applications to Search Games," Operations Research, INFORMS, vol. 67(3), pages 731-743, May.
    3. Steve Alpern & Thomas Lidbetter, 2019. "Approximate solutions for expanding search games on general networks," Annals of Operations Research, Springer, vol. 275(2), pages 259-279, April.

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