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Whether to attack a terrorist's resource stock today or tomorrow

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  • Hausken, Kjell

Abstract

A terrorist defends an asset which grows from the first to the second period and is attacked. With large asset growth, the terrorist's first period outcome is low caused by a large attack. With no expenditure constraint, the terrorist's total outcome is positive. With equal attack and defense inefficiencies, when the terrorist as defender requires his first period outcome to be positive, the attacker eliminates the asset in the first period when asset growth multiplied with the square roots of the terrorist's and attacker's discount parameters exceed . This gives maximum conflict in the first period. Growth and the two discount parameters are strategic complements. The range for the attack inefficiency divided by defense inefficiency, which causes negative first period outcome for the terrorist, increases with asset growth. The attacker refrains from asset elimination in the first period due to strength (weakness) if the ratio is below (above) the range.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:gamebe:v:64:y:2008:i:2:p:548-564
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    References listed on IDEAS

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    Cited by:

    1. Xing Gao & Weijun Zhong & Shue Mei, 2013. "Information Security Investment When Hackers Disseminate Knowledge," Decision Analysis, INFORMS, vol. 10(4), pages 352-368, December.
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    3. Kjell Hausken, 2023. "Two-period Colonel Blotto contest with cumulative investments over variable assets with resource constraints," SN Business & Economics, Springer, vol. 3(11), pages 1-18, November.
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    5. Cárceles-Poveda, Eva & Tauman, Yair, 2011. "A strategic analysis of the war against transnational terrorism," Games and Economic Behavior, Elsevier, vol. 71(1), pages 49-65, January.
    6. J. Atsu Amegashie & Marco Runkel, 2012. "The Paradox of Revenge in Conflicts," Journal of Conflict Resolution, Peace Science Society (International), vol. 56(2), pages 313-330, April.
    7. Xing Gao & Weijun Zhong & Shue Mei, 2014. "A game-theoretic analysis of information sharing and security investment for complementary firms," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(11), pages 1682-1691, November.
    8. Levitin, Gregory & Hausken, Kjell, 2011. "Preventive strike vs. false targets and protection in defense strategy," Reliability Engineering and System Safety, Elsevier, vol. 96(8), pages 912-924.
    9. Bandyopadhyay, Subhayu & Sandler, Todd, 2023. "Voluntary participation in a terror group and counterterrorism policy," Journal of Economic Behavior & Organization, Elsevier, vol. 215(C), pages 500-513.
    10. 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.
    11. João Ricardo Faria & Daniel Arce, 2021. "The Path of Terror Attacks," Games, MDPI, vol. 12(2), pages 1-11, April.
    12. 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.
    13. 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.
    14. Kjell Hausken, 2019. "A Game Theoretic Model of Adversaries and Media Manipulation," Games, MDPI, vol. 10(4), pages 1-15, December.
    15. Satya P. Das & Prabal Roy Chowdhury, 2014. "Deterrence, Preemption, And Panic: A Common-Enemy Problem Of Terrorism," Economic Inquiry, Western Economic Association International, vol. 52(1), pages 219-238, January.
    16. Wang, Shuliang & Gu, Xifeng & Luan, Shengyang & Zhao, Mingwei, 2021. "Resilience analysis of interdependent critical infrastructure systems considering deep learning and network theory," International Journal of Critical Infrastructure Protection, Elsevier, vol. 35(C).
    17. Satya P. Das & Sajal Lahiri, 2021. "Why direct counter‐terrorism measures only may fail: An analysis of direct and preventive counter‐terrorism measures," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(4), pages 416-445, December.
    18. 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.
    19. Simon, Jay & Omar, Ayman, 2020. "Cybersecurity investments in the supply chain: Coordination and a strategic attacker," European Journal of Operational Research, Elsevier, vol. 282(1), pages 161-171.
    20. Shakun D. Mago & Roman M. Sheremeta, 2017. "Multi‐battle Contests: An Experimental Study," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 407-425, October.
    21. 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.
    22. 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.
    23. Xing Gao & Weijun Zhong, 2016. "A differential game approach to security investment and information sharing in a competitive environment," IISE Transactions, Taylor & Francis Journals, vol. 48(6), pages 511-526, June.
    24. Xing Gao & Weijun Zhong, 2016. "Economic incentives in security information sharing: the effects of market structures," Information Technology and Management, Springer, vol. 17(4), pages 361-377, December.

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