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Terror and Counterterror Operations: Differential Game with Cyclical Nash Solution

Author

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  • G. Feichtinger

    (Vienna University of Technology)

  • A. J. Novak

    (University of Vienna)

Abstract

The purpose of this paper is to study efficient measures to combat terror. To choose efficient actions against terror organizations, the response of terrorists has to be taken into consideration. Thus, an appropriate framework to study the intertemporal strategic interactions of Western governments and terror organizations is dynamic game theory. Using the open-loop Nash solution concept, it turns out that the system may exhibit long-run persistent oscillations. However, transitory behavior is nonunique.

Suggested Citation

  • G. Feichtinger & A. J. Novak, 2008. "Terror and Counterterror Operations: Differential Game with Cyclical Nash Solution," Journal of Optimization Theory and Applications, Springer, vol. 139(3), pages 541-556, December.
    • Handle: RePEc:spr:joptap:v:139:y:2008:i:3:d:10.1007_s10957-008-9400-8
    DOI: 10.1007/s10957-008-9400-8
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    References listed on IDEAS

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    Citations

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    Cited by:

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    2. Hausken, Kjell, 2024. "Fifty Years of Operations Research in Defense," European Journal of Operational Research, Elsevier, vol. 318(2), pages 355-368.
    3. George Halkos & George Papageorgiou, 2014. "Exploring the optimality of cyclical emission rates," DEOS Working Papers 1404, Athens University of Economics and Business.
    4. Seidl, Andrea & Kaplan, Edward H. & Caulkins, Jonathan P. & Wrzaczek, Stefan & Feichtinger, Gustav, 2016. "Optimal control of a terror queue," European Journal of Operational Research, Elsevier, vol. 248(1), pages 246-256.
    5. Li, Bo & Zhang, Ranran & Jin, Ting & Shu, Yadong, 2021. "Parametric approximate optimal control of uncertain differential game with application to counter terror," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    6. João Ricardo Faria & Andreas Novak & Aniruddha Bagchi & Timothy Mathews, 2020. "The Refugee Game: The Relationship between Individual Security Expenditures and Collective Security," Games, MDPI, vol. 11(2), pages 1-13, June.
    7. Hausken, Kjell, 2019. "Governmental combat of the dynamics of multiple competing terrorist organizations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 33-55.
    8. Kjell Hausken, 2020. "Governmental combat of migration between competing terrorist organisations," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(3), pages 21-46.
    9. Bakker, Craig & Webster, Jennifer B. & Nowak, Kathleen E. & Chatterjee, Samrat & Perkins, Casey J. & Brigantic, Robert, 2020. "Multi-Game Modeling for Counter-Smuggling," Reliability Engineering and System Safety, Elsevier, vol. 200(C).
    10. Hunt, Kyle & Zhuang, Jun, 2024. "A review of attacker-defender games: Current state and paths forward," European Journal of Operational Research, Elsevier, vol. 313(2), pages 401-417.
    11. João Ricardo Faria & Emilson C. D. Silva & Daniel G. Arce, 2017. "Intertemporal Versus Spatial Externalities in Counterterror Policy Games," Dynamic Games and Applications, Springer, vol. 7(3), pages 402-421, September.
    12. João Ricardo Faria & Daniel Arce, 2021. "The Path of Terror Attacks," Games, MDPI, vol. 12(2), pages 1-11, April.
    13. Catherine C. Langlois & Jean-Pierre P. Langlois, 2011. "The Escalation of Terror: Hate and the Demise of Terrorist Organizations," Conflict Management and Peace Science, Peace Science Society (International), vol. 28(5), pages 497-521, November.
    14. A. J. Novak & G. Feichtinger & G. Leitmann, 2010. "A Differential Game Related to Terrorism: Nash and Stackelberg Strategies," Journal of Optimization Theory and Applications, Springer, vol. 144(3), pages 533-555, March.
    15. Kjell Hausken & Jun Zhuang, 2011. "Governments' and Terrorists' Defense and Attack in a T -Period Game," Decision Analysis, INFORMS, vol. 8(1), pages 46-70, March.

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