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A Game Related to the Number of Hides Game

Author

Listed:
  • N. Zoroa

    (University of Murcia)

  • M. J. Fernández-Sáez

    (University of Murcia)

  • P. Zoroa

    (University of Murcia)

Abstract

In this paper, we study a discrete search game on an array of N ordered cells, with two players having opposite goals: player I (searcher) and player II (hider). Player II has to hide q objects at consecutive cells and player I can search p consecutive cells. The payoff to player I is the number of objects found by him. In some situations, the players need to adopt sophisticated strategies if they are to act optimally.

Suggested Citation

  • N. Zoroa & M. J. Fernández-Sáez & P. Zoroa, 1999. "A Game Related to the Number of Hides Game," Journal of Optimization Theory and Applications, Springer, vol. 103(2), pages 457-473, November.
    • Handle: RePEc:spr:joptap:v:103:y:1999:i:2:d:10.1023_a:1021765121940
    DOI: 10.1023/A:1021765121940
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    References listed on IDEAS

    as
    1. K. Kikuta & W. H. Ruckle, 1997. "Accumulation Games, Part 1: Noisy Search," Journal of Optimization Theory and Applications, Springer, vol. 94(2), pages 395-408, August.
    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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    Cited by:

    1. 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.
    2. Steve Alpern & Robbert Fokkink & Christos Pelekis, 2012. "A Proof of the Kikuta–Ruckle Conjecture on Cyclic Caching of Resources," Journal of Optimization Theory and Applications, Springer, vol. 153(3), pages 650-661, June.

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    Keywords

    Zero sum games; search games;

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