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Defence and attack of systems with variable attacker system structure detection probability

Author

Listed:
  • G Levitin

    (The Israel Electric Corporation Ltd)

  • K Hausken

    (University of Stavanger)

Abstract

A system consists of identical elements. The cumulative performance of these elements should meet a demand. The defender applies three types of defensive actions to reduce a damage associated with system performance reduction caused by an external attack: deploying separated redundant genuine system elements, deploying false elements, and protecting genuine elements. If the attacker cannot distinguish between genuine and false elements, he chooses a number of elements to attack and then selects the elements at random, distributing his resources equally across these elements. By obtaining intelligence data, the attacker can get full information about the system structure and identify false and unprotected genuine elements. The defender estimates the probability that the attacker can identify all system elements. This paper analyses the influence of this probability in a non-cooperative two-period minmax game between the defender and the attacker.

Suggested Citation

  • G Levitin & K Hausken, 2010. "Defence and attack of systems with variable attacker system structure detection probability," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 124-133, January.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:1:d:10.1057_jors.2008.158
    DOI: 10.1057/jors.2008.158
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    References listed on IDEAS

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    1. Levitin, Gregory & Hausken, Kjell, 2008. "Protection vs. redundancy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1444-1451.
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    Full references (including those not matched with items on IDEAS)

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    Cited by:

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    2. R Peng & G Levitin & M Xie & S H Ng, 2011. "Optimal defence of single object with imperfect false targets," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 134-141, January.
    3. Wei Wang & Francesco Di Maio & Enrico Zio, 2019. "Adversarial Risk Analysis to Allocate Optimal Defense Resources for Protecting Cyber–Physical Systems from Cyber Attacks," Risk Analysis, John Wiley & Sons, vol. 39(12), pages 2766-2785, December.
    4. F He & J Zhuang, 2012. "Modelling ‘contracts’ between a terrorist group and a government in a sequential game," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(6), pages 790-809, June.
    5. Lin, Chen & Xiao, Hui & Kou, Gang & Peng, Rui, 2020. "Defending a series system with individual protection, overarching protection, and disinformation," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    6. Vineet M. Payyappalli & Jun Zhuang & Victor Richmond R. Jose, 2017. "Deterrence and Risk Preferences in Sequential Attacker–Defender Games with Continuous Efforts," Risk Analysis, John Wiley & Sons, vol. 37(11), pages 2229-2245, November.
    7. Dan Kovenock & Brian Roberson, 2012. "Strategic Defense And Attack For Series And Parallel Reliability Systems: Comment," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 507-515, October.
    8. Eyal Pecht & Asher Tishler, 2017. "Budget allocation, national security, military intelligence, and human capital: a dynamic model," Defence and Peace Economics, Taylor & Francis Journals, vol. 28(3), pages 367-399, May.
    9. 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.
    10. Rui Peng & Di Wu & Mengyao Sun & Shaomin Wu, 2021. "An attack-defense game on interdependent networks," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(10), pages 2331-2341, October.
    11. Zhang, Jing & Wang, Yan & Zhuang, Jun, 2021. "Modeling multi-target defender-attacker games with quantal response attack strategies," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    12. Losada, Chaya & Scaparra, M. Paola & O’Hanley, Jesse R., 2012. "Optimizing system resilience: A facility protection model with recovery time," European Journal of Operational Research, Elsevier, vol. 217(3), pages 519-530.
    13. 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.
    14. Abdolmajid Yolmeh & Melike Baykal-Gürsoy, 2019. "Two-Stage Invest–Defend Game: Balancing Strategic and Operational Decisions," Decision Analysis, INFORMS, vol. 16(1), pages 46-66, March.
    15. Gao, Xing & Zhong, Weijun & Mei, Shue, 2013. "A game-theory approach to configuration of detection software with decision errors," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 35-43.
    16. Ye, Zhi-Sheng & Peng, Rui & Wang, Wenbin, 2017. "Defense and attack of performance-sharing common bus systemsAuthor-Name: Zhai, Qingqing," European Journal of Operational Research, Elsevier, vol. 256(3), pages 962-975.
    17. Ding, Tao & Yao, Li & Li, Fangxing, 2018. "A multi-uncertainty-set based two-stage robust optimization to defender–attacker–defender model for power system protection," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 179-186.

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