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Individual versus overarching protection against strategic attacks


  • 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)


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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    References listed on IDEAS

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    Cited by:

    1. repec:eee:reensy:v:169:y:2018:i:c:p:51-62 is not listed on IDEAS
    2. 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.
    3. 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.
    4. repec:eee:reensy:v:165:y:2017:i:c:p:239-256 is not listed on IDEAS

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