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Defense and attack for interdependent systems

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  • Hausken, Kjell
Abstract
Two interdependent targets are analyzed to determine how failure of one or both impacts efforts to protect and attack the targets. If one target fails, the other fails with a certain probability, and vice versa. Examples are a control center and a communications network, two engines on a transport carrier, or an army and a navy. When both interdependence probabilities equal one, the system is in series. This is preferable for the attacker since attacking one target is sufficient. The substitution effect operates and the attacker is sensitive to differences in unit attack costs. When both interdependence probabilities equal zero, the defender benefits from the independence, and substitutes efforts optimally. Increasing the interdependence probability from one target to another causes both players to exert more efforts into the first target. High contest intensities for equally matched players, incurring equal unit effort costs, in an independent system is costly for both players. Otherwise, high contest intensities cause the disadvantaged player to withdraw. A disadvantaged defender can withdraw in an independent system, and a disadvantaged attacker can withdraw in a series system. The article illustrates how the players’ efforts and expected utilities depend on the interdependence probabilities and a variety of system characteristics.

Suggested Citation

  • Hausken, Kjell, 2017. "Defense and attack for interdependent systems," European Journal of Operational Research, Elsevier, vol. 256(2), pages 582-591.
    • Handle: RePEc:eee:ejores:v:256:y:2017:i:2:p:582-591
    DOI: 10.1016/j.ejor.2016.06.033
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    References listed on IDEAS

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    1. Hausken, Kjell, 2008. "Strategic defense and attack for series and parallel reliability systems," European Journal of Operational Research, Elsevier, vol. 186(2), pages 856-881, April.
    2. Vicki Bier & Santiago Oliveros & Larry Samuelson, 2007. "Choosing What to Protect: Strategic Defensive Allocation against an Unknown Attacker," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(4), pages 563-587, August.
    3. Chen Wang & Vicki M. Bier, 2011. "Target-Hardening Decisions Based on Uncertain Multiattribute Terrorist Utility," Decision Analysis, INFORMS, vol. 8(4), pages 286-302, December.
    4. Azaiez, M.N. & Bier, Vicki M., 2007. "Optimal resource allocation for security in reliability systems," European Journal of Operational Research, Elsevier, vol. 181(2), pages 773-786, September.
    5. Jianwei Wang & Yuedan Wu & Yun Li, 2015. "Attack robustness of cascading load model in interdependent networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(03), pages 1-14.
    6. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
    7. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    8. Ariel Pakes & Michael Ostrovsky & Steven Berry, 2007. "Simple estimators for the parameters of discrete dynamic games (with entry/exit examples)," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 373-399, June.
    9. Chopra, Shauhrat S. & Khanna, Vikas, 2015. "Interconnectedness and interdependencies of critical infrastructures in the US economy: Implications for resilience," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 865-877.
    10. Laura McLay & Casey Rothschild & Seth Guikema, 2012. "Robust Adversarial Risk Analysis: A Level- k Approach," Decision Analysis, INFORMS, vol. 9(1), pages 41-54, March.
    11. Johansson, Jonas & Hassel, Henrik, 2010. "An approach for modelling interdependent infrastructures in the context of vulnerability analysis," Reliability Engineering and System Safety, Elsevier, vol. 95(12), pages 1335-1344.
    12. Hausken, Kjell, 2008. "Strategic defense and attack for reliability systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1740-1750.
    13. Hausken, Kjell, 2006. "Income, interdependence, and substitution effects affecting incentives for security investment," Journal of Accounting and Public Policy, Elsevier, vol. 25(6), pages 629-665.
    14. George M. Kasper, 1996. "A Theory of Decision Support System Design for User Calibration," Information Systems Research, INFORMS, vol. 7(2), pages 215-232, June.
    15. Wang, Shuliang & Hong, Liu & Chen, Xueguang, 2012. "Vulnerability analysis of interdependent infrastructure systems: A methodological framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3323-3335.
    16. Gregory Levitin, 2009. "Optimizing Defense Strategies for Complex Multi-State Systems," International Series in Operations Research & Management Science, in: Vicki M. M. Bier & M. Naceur Azaiez (ed.), Game Theoretic Risk Analysis of Security Threats, chapter 3, pages 33-64, Springer.
    17. Zhuang, Jun & Bier, Vicki M. & Alagoz, Oguzhan, 2010. "Modeling secrecy and deception in a multiple-period attacker-defender signaling game," European Journal of Operational Research, Elsevier, vol. 203(2), pages 409-418, June.
    18. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 251-262, Springer.
    19. Ouyang, Min, 2014. "Review on modeling and simulation of interdependent critical infrastructure systems," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 43-60.
    20. Hausken, Kjell, 2010. "Defense and attack of complex and dependent systems," Reliability Engineering and System Safety, Elsevier, vol. 95(1), pages 29-42.
    21. Jun Zhuang & Vicki Bier, 2011. "Secrecy And Deception At Equilibrium, With Applications To Anti-Terrorism Resource Allocation," Defence and Peace Economics, Taylor & Francis Journals, vol. 22(1), pages 43-61.
    22. Kunreuther, Howard & Heal, Geoffrey, 2003. "Interdependent Security," Journal of Risk and Uncertainty, Springer, vol. 26(2-3), pages 231-249, March-May.
    23. Wu, Baichao & Tang, Aiping & Wu, Jie, 2016. "Modeling cascading failures in interdependent infrastructures under terrorist attacks," Reliability Engineering and System Safety, Elsevier, vol. 147(C), pages 1-8.
    24. Nikoofal, Mohammad E. & Zhuang, Jun, 2015. "On the value of exposure and secrecy of defense system: First-mover advantage vs. robustness," European Journal of Operational Research, Elsevier, vol. 246(1), pages 320-330.
    25. Insua, Insua Rios & Rios, Jesus & Banks, David, 2009. "Adversarial Risk Analysis," Journal of the American Statistical Association, American Statistical Association, vol. 104(486), pages 841-854.
    26. Kjell Hausken, 2014. "Choosing what to protect when attacker resources and asset valuations are uncertain," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(3), pages 23-44.
    27. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
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