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Individual versus overarching protection against strategic attacks

Author

Listed:
  • G Levitin

    (1] University of Electronic Science and Technology of China, Chengdu, China[2] The Israel Electric Corporation Ltd., Haifa, Israel)

  • K Hausken

    (University of Stavanger, Stavanger, Norway)

Abstract

This article considers a system consisting of elements that can be protected and attacked individually and collectively. To destroy the system, the attacker must always penetrate/destroy the collective (overarching) protection. In the case of the parallel system, it also must destroy all elements, whereas in the case of the series system, it must destroy at least one element. Both the attacker and the defender have limited resources and can distribute these freely between the two types of protection. The attacker chooses the resource distribution and the number of attacked elements to maximize the system destruction probability. The defender chooses the resource distribution and the number of protected elements to minimize the system destruction probability. The bi-contest minmax game is formulated and its analytical solutions are presented and analysed. The asymptotical analysis of the solutions is presented. The influence of the game parameters on the optimal defence and attack strategies is discussed.

Suggested Citation

  • G Levitin & K Hausken, 2012. "Individual versus overarching protection against strategic attacks," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(7), pages 969-981, July.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:7:p:969-981
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    Citations

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    Cited by:

    1. Kjell Hausken, 2019. "Special versus general protection and attack of two assets," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(4), pages 53-93.
    2. Peng, Rui & Wu, Di & Xiao, Hui & Xing, Liudong & Gao, Kaiye, 2019. "Redundancy versus protection for a non-reparable phased-mission system subject to external impacts," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    3. Qingqing Zhai & Rui Peng & Jun Zhuang, 2020. "Defender–Attacker Games with Asymmetric Player Utilities," Risk Analysis, John Wiley & Sons, vol. 40(2), pages 408-420, February.
    4. Xiao, Hui & Lin, Chen & Kou, Gang & Peng, Rui, 2020. "Optimal resource allocation for defending k-out-of-n systems against sequential intentional and unintentional impacts," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    5. Ouyang, Min & Xu, Min & Zhang, Chi & Huang, Shitong, 2017. "Mitigating electric power system vulnerability to worst-case spatially localized attacks," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 144-154.
    6. Ramirez-Marquez, José Emmanuel & Li, Qing, 2018. "Locating and protecting facilities from intentional attacks using secrecyAuthor-Name: Zhang, Chi," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 51-62.
    7. 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).
    8. 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.
    9. Abdolmajid Yolmeh & Melike Baykal-Gürsoy & Vicki Bier, 2023. "A decomposable resource allocation model with generalized overarching protections," Annals of Operations Research, Springer, vol. 320(1), pages 493-507, January.
    10. Kjell Hausken, 2014. "Individual versus overarching protection and attack of assets," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 22(1), pages 89-112, March.
    11. 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.
    12. Levitin, Gregory & Hausken, Kjell & Dai, Yuanshun, 2013. "Individual vs. overarching protection for minimizing the expected damage caused by an attack," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 117-125.
    13. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2021. "Security and reliability of N-version cloud-based task solvers with individual version cancellation under data theft attacks," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    14. Hausken, Kjell, 2017. "Special versus general protection and attack of parallel and series components," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 239-256.
    15. Levitin, Gregory & Hausken, Kjell & Dai, Yuanshun, 2014. "Optimal defense with variable number of overarching and individual protections," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 81-90.

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