IDEAS home Printed from https://ideas.repec.org/a/eee/oprepe/v15y2025ics221471602500034x.html

A two-period model of counterterrorism with terrorist sponsoring and the role of hatred

Author

Listed:
  • Hausken, Kjell

Abstract

A two-period counterterrorism model is developed. One special case without terrorist sponsoring enables the government to degrade the terrorist’s resources substantially, especially with low unit counterterrorism cost or high asset valuations. If the terrorist in a second special case is sponsored proportionally to its resources, the government increases its counterterrorism in both periods, even at a higher unit cost. Degrading the terrorist’s resources becomes more challenging. If the terrorist in a third special case is sponsored proportionally to the government’s counterterrorism, due to developing hatred, and proportionally to its resources, counterterrorism is high in both periods, even at a high unit cost. Two contrasts with the two other special cases are that the terrorist’s resources are U shaped in both the government’s unit counterterrorism cost and their asset valuations. Both low unit counterterrorism cost and high asset valuations cause high counterterrorism and substantial terrorist sponsoring due to hatred. The government’s counterterrorism is inverse V shaped in the proportionality parameter for how counterterrorism causes hatred and terrorist sponsoring. An intermediate parameter causes maximum counterterrorism where the government strikes a balance between degrading the terrorist’s resources while constraining terrorist sponsoring due to hatred. The three special cases illustrate the government’s counterterrorism dilemmas.

Suggested Citation

  • Hausken, Kjell, 2025. "A two-period model of counterterrorism with terrorist sponsoring and the role of hatred," Operations Research Perspectives, Elsevier, vol. 15(C).
  • Handle: RePEc:eee:oprepe:v:15:y:2025:i:c:s221471602500034x
    DOI: 10.1016/j.orp.2025.100358
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S221471602500034X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.orp.2025.100358?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Khusrav Gaibulloev & Todd Sandler, 2013. "Determinants of the Demise of Terrorist Organizations," Southern Economic Journal, John Wiley & Sons, vol. 79(4), pages 774-792, April.
    2. Hausken, Kjell, 2008. "Whether to attack a terrorist's resource stock today or tomorrow," Games and Economic Behavior, Elsevier, vol. 64(2), pages 548-564, November.
    3. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    4. Mark P. Kaminskiy & Bilal M. Ayyub, 2006. "Terrorist Population Dynamics Model," Risk Analysis, John Wiley & Sons, vol. 26(3), pages 747-752, June.
    5. Subhayu Bandyopadhyay & Todd Sandler, 2011. "The Interplay Between Preemptive and Defensive Counterterrorism Measures: A Two‐stage Game," Economica, London School of Economics and Political Science, vol. 78(311), pages 546-564, July.
    6. Gregory Levitin & Kjell Hausken, 2025. "When Escalation is Inevitable: A Role of Thresholds in a Counterterrorism Game," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 27(02), pages 1-24, June.
    7. Khusrav Gaibulloev & Todd Sandler, 2019. "What We Have Learned about Terrorism since 9/11," Journal of Economic Literature, American Economic Association, vol. 57(2), pages 275-328, June.
    8. Khusrav Gaibulloev & Todd Sandler, 2014. "An empirical analysis of alternative ways that terrorist groups end," Public Choice, Springer, vol. 160(1), pages 25-44, July.
    9. Joao Ricardo Faria & Daniel Arce, 2005. "Terror Support And Recruitment," Defence and Peace Economics, Taylor & Francis Journals, vol. 16(4), pages 263-273.
    10. 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.
    11. Gregory Levitin & Kjell Hausken, 2011. "Defense Resource Distribution Between Protection and Redundancy for Constant Resource Stockpiling Pace," Risk Analysis, John Wiley & Sons, vol. 31(10), pages 1632-1645, October.
    12. Padgett, John F., 1980. "Bounded Rationality in Budgetary Research," American Political Science Review, Cambridge University Press, vol. 74(2), pages 354-372, June.
    13. Vicki Bier & Kjell Hausken, 2011. "Endogenizing the sticks and carrots: modeling possible perverse effects of counterterrorism measures," Annals of Operations Research, Springer, vol. 186(1), pages 39-59, June.
    14. Keohane, Nathaniel O & Zeckhauser, Richard J, 2003. "The Ecology of Terror Defense," Journal of Risk and Uncertainty, Springer, vol. 26(2-3), pages 201-229, March-May.
    15. 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.
    16. Edward L. Glaeser, 2005. "The Political Economy of Hatred," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(1), pages 45-86.
    17. Kjell Hausken, 2021. "Governments Playing Games and Combating the Dynamics of a Terrorist Organization," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 23(02), pages 1-26, June.
    18. Todd Sandler & Daniel G. Arce M., 2003. "Terrorism & Game Theory," Simulation & Gaming, , vol. 34(3), pages 319-337, September.
    19. Khusrav Gaibulloev & Todd Sandler, 2013. "Symposium - Determinants of the Demise of Terrorist Organizations," Southern Economic Journal, Southern Economic Association, vol. 79(4), pages 774-792, 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. 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.
    2. João Ricardo Faria & Daniel Arce, 2021. "The Path of Terror Attacks," Games, MDPI, vol. 12(2), pages 1-11, April.
    3. Hausken, Kjell, 2024. "Fifty Years of Operations Research in Defense," European Journal of Operational Research, Elsevier, vol. 318(2), pages 355-368.
    4. Liang, Liang & Chen, Jingxian & Siqueira, Kevin, 2020. "Revenge or continued attack and defense in defender–attacker conflicts," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1180-1190.
    5. Bandyopadhyay, Subhayu & Sandler, Todd, 2023. "Politically influenced counterterrorism policy and welfare efficiency," European Journal of Political Economy, Elsevier, vol. 76(C).
    6. 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.
    7. Abhra Roy & Jomon Paul, 2013. "Terrorism deterrence in a two country framework: strategic interactions between R&D, defense and pre-emption," Annals of Operations Research, Springer, vol. 211(1), pages 399-432, December.
    8. Xing Gao & Weijun Zhong & Shue Mei, 2013. "Information Security Investment When Hackers Disseminate Knowledge," Decision Analysis, INFORMS, vol. 10(4), pages 352-368, December.
    9. Opher Baron & Oded Berman & Arieh Gavious, 2018. "A Game Between a Terrorist and a Passive Defender," Production and Operations Management, Production and Operations Management Society, vol. 27(3), pages 433-457, March.
    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. 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.
    12. Di Wu & Xiangbin Yan & Rui Peng & Shaomin Wu, 2020. "Optimal defence-attack strategies between one defender and two attackers," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 71(11), pages 1830-1846, November.
    13. 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.
    14. Sushil Gupta & Martin K. Starr & Reza Zanjirani Farahani & Mahsa Mahboob Ghodsi, 2020. "Prevention of Terrorism–An Assessment of Prior POM Work and Future Potentials," Production and Operations Management, Production and Operations Management Society, vol. 29(7), pages 1789-1815, July.
    15. Vicki Bier & Kjell Hausken, 2011. "Endogenizing the sticks and carrots: modeling possible perverse effects of counterterrorism measures," Annals of Operations Research, Springer, vol. 186(1), pages 39-59, June.
    16. Subhayu Bandyopadhyay & Todd Sandler, 2022. "Effects of Defensive and Proactive Measures on Competition Between Terrorist Groups," Journal of Conflict Resolution, Peace Science Society (International), vol. 66(10), pages 1797-1825, November.
    17. Bertrand Crettez & Naila Hayek, 2014. "Terrorists’ Eradication Versus Perpetual Terror War," Journal of Optimization Theory and Applications, Springer, vol. 160(2), pages 679-702, February.
    18. Kjell Hausken, 2019. "Principal–Agent Theory, Game Theory, and the Precautionary Principle," Decision Analysis, INFORMS, vol. 16(2), pages 105-127, June.
    19. Wu, Di & Yan, Xiangbin & Peng, Rui & Wu, Shaomin, 2020. "Risk-attitude-based defense strategy considering proactive strike, preventive strike and imperfect false targets," Reliability Engineering and System Safety, Elsevier, vol. 196(C).
    20. Wu, Di & Xiao, Hui & Peng, Rui, 2018. "Object defense with preventive strike and false targets," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 76-80.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

    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:eee:oprepe:v:15:y:2025:i:c:s221471602500034x. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/operations-research-perspectives .

    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.