IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v53y2006i8p761-771.html
   My bibliography  Save this article

An inspection game: Taking account of fulfillment probabilities of players' aims

Author

Listed:
  • Ryusuke Hohzaki
  • Diasuke Kudoh
  • Toru Komiya

Abstract

This paper deals with an inspection game of customs and a smuggler. The customs can take two options of assigning a patrol or not. The smuggler has two strategies of shipping its cargo of contraband or not. Two players have several opportunities to take actions during a limited number of days. When both players do, there are some possibilities that the customs captures the smuggler and, simultaneously, the smuggler possibly makes a success of the smuggling. If the smuggler is captured or there remain no days for playing the game, the game ends. In this paper, we formulate the problem into a multi‐stage two‐person zero‐sum stochastic game and investigate some characteristics of the equilibrium solution, some of which are given in a closed form in a special case. There have been some studies so far on the inspection game. However, some consider the case that the smuggler has only one opportunity of smuggling or the perfect‐capture case that the customs can certainly arrest the smuggler on patrol, and others think of a recursive game without the probabilities of fulfilling the players' purposes. In this paper, we consider the inspection game taking account of the fulfillment probabilities of the players' aims. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:53:y:2006:i:8:p:761-771
    DOI: 10.1002/nav.20167
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20167
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.20167?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Michael Maschler, 1966. "A price leadership method for solving the inspector's non‐constant‐sum game," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 13(1), pages 11-33, March.
    4. Thomas S. Ferguson & Costis Melolidakis, 1998. "On the inspection game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(3), pages 327-334, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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).
    6. Thomas S. Ferguson & Costis Melolidakis, 1998. "On the inspection game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(3), pages 327-334, April.
    7. Dong, Xiaoqing & Li, Chaolin & Li, Ji & Wang, Jia & Huang, Wantao, 2010. "A game-theoretic analysis of implementation of cleaner production policies in the Chinese electroplating industry," Resources, Conservation & Recycling, Elsevier, vol. 54(12), pages 1442-1448.
    8. Endre Csóka & Thomas Lidbetter, 2016. "The solution to an open problem for a caching game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(1), pages 23-31, February.
    9. Bernhard von Stengel, 2016. "Recursive Inspection Games," Mathematics of Operations Research, INFORMS, vol. 41(3), pages 935-952, August.
    10. 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.
    11. Nourinejad, Mehdi & Gandomi, Amir & Roorda, Matthew J., 2020. "Illegal parking and optimal enforcement policies with search friction," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    12. Stefanos Leonardos & Costis Melolidakis, 2018. "On the Commitment Value and Commitment Optimal Strategies in Bimatrix Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 1-28, September.
    13. D. Marc Kilgour & Steven J. Brams, 1992. "Putting the Other Side “On Notice†Can Induce Compliance in Arms Control," Journal of Conflict Resolution, Peace Science Society (International), vol. 36(3), pages 395-414, September.
    14. Deutsch, Yael & Goldberg, Noam & Perlman, Yael, 2019. "Incorporating monitoring technology and on-site inspections into an n-person inspection game," European Journal of Operational Research, Elsevier, vol. 274(2), pages 627-637.
    15. Roger Bate & Ginger Zhe Jin & Aparna Mathur, 2015. "Falsified or Substandard? Assessing Price and Non‐price Signals of Drug Quality," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 24(4), pages 687-711, October.
    16. Darlington, Matthew & Glazebrook, Kevin D. & Leslie, David S. & Shone, Rob & Szechtman, Roberto, 2023. "A stochastic game framework for patrolling a border," European Journal of Operational Research, Elsevier, vol. 311(3), pages 1146-1158.
    17. Iván Marinovic & Martin Szydlowski, 2022. "Monitoring with career concerns," RAND Journal of Economics, RAND Corporation, vol. 53(2), pages 404-428, June.
    18. 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.
    19. 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.
    20. 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).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navres:v:53:y:2006:i:8:p:761-771. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.