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An infiltration game with time dependent payoff

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  • Marlin U. Thomas
  • Yair Nisgav

Abstract

The problem of assigning patrol boats, subject to resource constraints, to capture or delay an infiltrator with perishable contraband attempting escape across a long, narrow strait is formulated as a two‐sided time sequential game. Optimal mixed strategies are derived for the situation of one patrol boat against one smuggler. Procedures for obtaining numerical solutions for R > 1 patrol boats are discussed.

Suggested Citation

  • Marlin U. Thomas & Yair Nisgav, 1976. "An infiltration game with time dependent payoff," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(2), pages 297-302, June.
    • Handle: RePEc:wly:navlog:v:23:y:1976:i:2:p:297-302
    DOI: 10.1002/nav.3800230211
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    Cited by:

    1. Morton Canty & Daniel Rothenstein & Rudolf Avenhaus, 2001. "A sequential attribute sampling inspection game for item facilities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(6), pages 496-505, September.
    2. Ryusuke Hohzaki & Diasuke Kudoh & Toru Komiya, 2006. "An inspection game: Taking account of fulfillment probabilities of players' aims," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(8), pages 761-771, December.
    3. Thomas S. Ferguson & Costis Melolidakis, 1998. "On the inspection game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(3), pages 327-334, April.
    4. Yang, Zhisen & Wan, Chengpeng & Yang, Zaili & Yu, Qing, 2021. "Using Bayesian network-based TOPSIS to aid dynamic port state control detention risk control decision," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    5. Ederlina Ganatuin‐Nocon & Tyrone Ang, 2020. "Revisiting inspection game and inspector leadership through reaction networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 438-452, September.
    6. 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.
    7. Andrej Yu Garnaev, 1994. "A remark on the customs and smuggler game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(2), pages 287-293, March.
    8. Deutsch, Yael, 2021. "A polynomial-time method to compute all Nash equilibria solutions of a general two-person inspection game," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1036-1052.
    9. Guzmán, Cristóbal & Riffo, Javiera & Telha, Claudio & Van Vyve, Mathieu, 2022. "A sequential Stackelberg game for dynamic inspection problems," European Journal of Operational Research, Elsevier, vol. 302(2), pages 727-739.
    10. Guzman, Cristobal & Riffo, Javiera & Telha, Claudio & Van Vyve, Mathieu, 2021. "A Sequential Stackelberg Game for Dynamic Inspection Problems," LIDAM Discussion Papers CORE 2021036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. V. J. Baston & F. A. Bostock, 1991. "A generalized inspection game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 171-182, April.

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