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Quantifying Adversary Capabilities to Inform Defensive Resource Allocation

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  • Chen Wang
  • Vicki M. Bier

Abstract

We propose a Bayesian Stackelberg game capable of analyzing the joint effects of both attacker intent and capabilities on optimal defensive strategies. The novel feature of our model is the use of contest success functions from economics to capture the extent to which the success of an attack is attributable to the adversary's capability (as well as the level of defensive investment), rather than pure luck. Results of a two‐target example suggest that precise assessment of attacker intent may not be necessary if we have poor estimates of attacker capability.

Suggested Citation

  • Chen Wang & Vicki M. Bier, 2016. "Quantifying Adversary Capabilities to Inform Defensive Resource Allocation," Risk Analysis, John Wiley & Sons, vol. 36(4), pages 756-775, April.
  • Handle: RePEc:wly:riskan:v:36:y:2016:i:4:p:756-775
    DOI: 10.1111/risa.12399
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    References listed on IDEAS

    as
    1. Gerald G. Brown & Louis Anthony (Tony) Cox, Jr., 2011. "How Probabilistic Risk Assessment Can Mislead Terrorism Risk Analysts," Risk Analysis, John Wiley & Sons, vol. 31(2), pages 196-204, February.
    2. Hausken, Kjell & Bier, Vicki M., 2011. "Defending against multiple different attackers," European Journal of Operational Research, Elsevier, vol. 211(2), pages 370-384, June.
    3. Hirshleifer, Jack & Osborne, Evan, 2001. "Truth, Effort, and the Legal Battle," Public Choice, Springer, vol. 108(1-2), pages 169-195, July.
    4. Birendra K. Rai & Rajiv Sarin, 2007. "Generalized Contest Success Functions," Jena Economics Research Papers 2007-082, Friedrich-Schiller-University Jena.
    5. Ralph Rotte & Christoph Schmidt, 2003. "On the production of victory: Empirical determinants of battlefield success in modern war," Defence and Peace Economics, Taylor & Francis Journals, vol. 14(3), pages 175-192.
    6. 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.
    7. Vicki M. Bier, 2007. "Choosing What to Protect," Risk Analysis, John Wiley & Sons, vol. 27(3), pages 607-620, June.
    8. Scott Farrow, 2007. "The Economics Of Homeland Security Expenditures: Foundational Expected Cost‐Effectiveness Approaches," Contemporary Economic Policy, Western Economic Association International, vol. 25(1), pages 14-26, January.
    9. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    10. Jun Zhuang & Vicki M. Bier, 2007. "Balancing Terrorism and Natural Disasters---Defensive Strategy with Endogenous Attacker Effort," Operations Research, INFORMS, vol. 55(5), pages 976-991, October.
    11. Michael J. Armstrong, 2005. "A Stochastic Salvo Model for Naval Surface Combat," Operations Research, INFORMS, vol. 53(5), pages 830-841, October.
    12. Henry H. Willis, 2007. "Guiding Resource Allocations Based on Terrorism Risk," Risk Analysis, John Wiley & Sons, vol. 27(3), pages 597-606, June.
    13. Stefan Szymanski, 2010. "The Economic Design of Sporting Contests," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 1, pages 1-78, Palgrave Macmillan.
    14. Wayne P. Hughes, 1995. "A salvo model of warships in missile combat used to evaluate their staying power," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(2), pages 267-289, March.
    15. Gerald Brown & Matthew Carlyle & Ahmad Abdul‐Ghaffar & Jeffrey Kline, 2011. "A defender‐attacker optimization of Port Radar surveillance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(3), pages 223-235, April.
    16. Ronald A. Howard, 1988. "Decision Analysis: Practice and Promise," Management Science, INFORMS, vol. 34(6), pages 679-695, June.
    17. Douglas, Paul H, 1976. "The Cobb-Douglas Production Function Once Again: Its History, Its Testing, and Some New Empirical Values," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 903-915, October.
    18. Gregory Levitin & Kjell Hausken, 2010. "Resource Distribution in Multiple Attacks Against a Single Target," Risk Analysis, John Wiley & Sons, vol. 30(8), pages 1231-1239, August.
    19. Jun Zhuang & Vicki M. Bier, 2010. "Reasons for Secrecy and Deception in Homeland‐Security Resource Allocation," Risk Analysis, John Wiley & Sons, vol. 30(12), pages 1737-1743, December.
    20. Gerald Brown & Matthew Carlyle & Douglas Diehl & Jeffrey Kline & Kevin Wood, 2005. "A Two-Sided Optimization for Theater Ballistic Missile Defense," Operations Research, INFORMS, vol. 53(5), pages 745-763, October.
    21. Gerald Brown & Matthew Carlyle & Javier Salmerón & Kevin Wood, 2006. "Defending Critical Infrastructure," Interfaces, INFORMS, vol. 36(6), pages 530-544, December.
    22. Ralph L. Keeney & Detlof von Winterfeldt, 2011. "A Value Model for Evaluating Homeland Security Decisions," Risk Analysis, John Wiley & Sons, vol. 31(9), pages 1470-1487, September.
    23. Powell, Robert, 2007. "Defending against Terrorist Attacks with Limited Resources," American Political Science Review, Cambridge University Press, vol. 101(3), pages 527-541, August.
    24. Kjell Hausken & Vicki M. Bier & Jun Zhuang, 2009. "Defending Against Terrorism, Natural Disaster, and All Hazards," International Series in Operations Research & Management Science, in: Vicki M. M. Bier & M. Naceur Azaiez (ed.), Game Theoretic Risk Analysis of Security Threats, chapter 4, pages 65-97, Springer.
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    Cited by:

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    2. Edouard Kujawski, 2016. "A Probabilistic Game‐Theoretic Method to Assess Deterrence and Defense Benefits of Security Systems," Systems Engineering, John Wiley & Sons, vol. 19(6), pages 549-566, November.
    3. Ridwan Al Aziz & Meilin He & Jun Zhuang, 2020. "An Attacker–defender Resource Allocation Game with Substitution and Complementary Effects," Risk Analysis, John Wiley & Sons, vol. 40(7), pages 1481-1506, July.
    4. Jalali, Sajjad & Seifbarghy, Mehdi & Niaki, Seyed Taghi Akhavan, 2018. "A risk-averse location-protection problem under intentional facility disruptions: A modified hybrid decomposition algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 196-219.
    5. Zhang, Jing & Zhuang, Jun, 2019. "Modeling a multi-target attacker-defender game with multiple attack types," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 465-475.
    6. Han, Lin & Zhao, Xudong & Chen, Zhilong & Wu, Yipeng & Su, Xiaochao & Zhang, Ning, 2021. "Optimal allocation of defensive resources to defend urban power networks against different types of attackers," International Journal of Critical Infrastructure Protection, Elsevier, vol. 35(C).
    7. Vicki Bier, 2020. "The Role of Decision Analysis in Risk Analysis: A Retrospective," Risk Analysis, John Wiley & Sons, vol. 40(S1), pages 2207-2217, November.

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