Modeling a Multitarget Attacker–Defender Game with Budget Constraints

Published Online:https://doi.org/10.1287/deca.2017.0346

References

  • Azaiez MN, Bier VM (2007) Optimal resource allocation for security in reliability systems. Eur. J. Oper. Res. 181(2):773–786.CrossrefGoogle Scholar
  • Bazaraa S, Sherali HD, Shetty CM (2006) Nonlinear Programming: Theory and Algorithms, 3rd ed. (John Wiley & Sons, Atlanta).CrossrefGoogle Scholar
  • Bier V, Oliveros S, Samuelson L (2007) Choosing what to protect: Strategic defensive allocation against an unknown attacker. J. Public Econom. Theory 9(4):563–587.CrossrefGoogle Scholar
  • Bier VM, Haphuriwat N, Menoyo J, Zimmerman R, Culpen AM (2008) Optimal resource allocation for defense of targets based on differing measures of attractiveness. Risk Anal. 28(3):763–770.CrossrefGoogle Scholar
  • Biringer BE, Matalucci RV, O’Connor SL (2007) Security Risk Assessment and Management: A Professional Practice Guide for Protecting Buildings and Infrastructures (John Wiley, Hoboken, NJ).CrossrefGoogle Scholar
  • Bowles S (2009) Microeconomics: Behavior, Institutions, and Evolution (Princeton University Press, Princeton, NJ).CrossrefGoogle Scholar
  • Caram P (2001) The 1993 World Trade Center Bombing: Foresight and Warning (Janus Publishing Company Lim, London).Google Scholar
  • Coaffee J (2016) Terrorism, Risk and the Global City: Towards Urban Resilience (Routledge, London).CrossrefGoogle Scholar
  • Cochran TB, McKinzie MG (2008) Detecting nuclear smuggling. Scientific Amer. 298(4):98–104.CrossrefGoogle Scholar
  • Daniel G, Arce M, Sandler T (2003) Terrorism and game theory. Simulation Gaming 34(3):319–337.CrossrefGoogle Scholar
  • Debreu G (1952) A social equilibrium existence theorem. Proc. National Acad. Sci. USA 38(10):886–893.CrossrefGoogle Scholar
  • Dighe NS, Zhuang J, Bier VM (2009) Secrecy in defensive allocations as a strategy for achieving more cost-effective attacker deterrence. Internat. J. Performability Engrg. 5(1):31–43.Google Scholar
  • Donohue LK (2006) Anti-terrorist finance in the United Kingdom and United States. Michigan J. Internat. Law 27(4):303–1261.Google Scholar
  • Enders W, Sandler T (2006) Distribution of transnational terrorism among countries by income class and geography after 9/11. Internat. Stud. Quart. 50(2):367–393.CrossrefGoogle Scholar
  • Fan K (1952) Fixed-point and minimax theorems in locally convex topological linear spaces. Proc. National Acad. Sci. USA 38(2):121–126.CrossrefGoogle Scholar
  • Farrow S (2007) The economics of homeland security expenditures: Foundational expected cost-effectiveness approaches. Contemporary Econom. Policy 25(1):14–26.CrossrefGoogle Scholar
  • Feeney JM, Goldberg R, Blumenthal JA, Wallack MK (2005) September 11, 2001, revisited: A review of the data. Arch. Surgery 140(11):1068–1073.CrossrefGoogle Scholar
  • Gans J, King S, Mankiw NG (2011) Principles of Microeconomics (Cengage Learning, Boston).Google Scholar
  • Glicksberg IL (1952) A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points. Proc. Amer. Math. Soc. 3(1):170–174.Google Scholar
  • Hartwell MB, Barkley LCMK (2011) Terrorism, the US army perspective in Iraq. Behav. Sci. Terrorism Political Aggression 3(2):150–160.CrossrefGoogle Scholar
  • Hausken K, Levitin G (2009) Minmax defense strategy for complex multi-state systems. Reliability Engrg. System Safety 94(2):577–587.CrossrefGoogle Scholar
  • Hausken K, Levitin G (2010) Shield versus sword resource distribution in k-round duels. Central Eur. J. Oper. Res. 19(4):589–603.CrossrefGoogle Scholar
  • Hausken K, Zhuang J (2013) The impact of disaster on the interaction between company and government. Eur. J. Oper. Res. 225(2):363–376.CrossrefGoogle Scholar
  • Hausken K, Bier VM, Zhuang J (2008) Defending against terrorism, natural disaster, and all hazards. Pham H, ed. Combining Reliability and Game Theory, Springer Series on Reliability Engineering (Springer, New York), 65–97.Google Scholar
  • Heal G, Kunreuther H (2007) Modeling interdependent risks. Risk Anal. 27(3):621–634.CrossrefGoogle Scholar
  • Hirshleifer J (1989) Conflict and rent-seeking success functions: Ratio vs. difference models of relative success. Public Choice 63(2):101–112.CrossrefGoogle Scholar
  • Jensen U (2002) Probabilistic risk analysis: Foundations and methods. J. Amer. Statist. Assoc. 97(459):925–925.CrossrefGoogle Scholar
  • Karush W (2014) Minima of functions of several variables with inequalities as side conditions. Giorgi G, ed. Traces and Emergence of Nonlinear Programming (Springer, New York), 217–245.CrossrefGoogle Scholar
  • Levitin G, Hausken K (2009a) False targets efficiency in defense strategy. Eur. J. Oper. Res. 194(1):155–162.CrossrefGoogle Scholar
  • Levitin G, Hausken K (2009b) Redundancy vs. protection vs. false targets for systems under attack. IEEE Trans. Reliability 58(1):58–68.CrossrefGoogle Scholar
  • Levitin G, Hausken K (2010) Resource distribution in multiple attacks against a single target. Risk Anal. 30(8):1231–1239.CrossrefGoogle Scholar
  • Little RG, Richardson H, Gordon P, Moore J (2007) Cost-Effective Strategies to Address Urban Terrorism: A Risk Management Approach (Edward Elgar Publishing, Cheltenham, UK).Google Scholar
  • Llussá F, Tavares J (2011) Which terror at which cost? On the economic consequences of terrorist attacks. Econom. Lett. 110(1):52–55.CrossrefGoogle Scholar
  • Nikoofal ME, Zhuang J (2012) Robust allocation of a defensive budget considering an attacker’s private information. Risk Anal. 32(5):930–943.CrossrefGoogle Scholar
  • Risk Management Solutions (RMS) (2011) Terrorism risk in the post-9/11 era: A 10-year retrospective. Accessed October 1, 2016, http://riskinc.com/Publications/9_11_Retrospective.pdf.Google Scholar
  • Roth J, Greenburg D, Wille S (2004) Monograph on terrorist financing: Staff report to the commission. Accessed April 7, 2017, http://forms2.rms.com/rs/729-DJX-565/images/terr_9_11_retrospective.pdf.Google Scholar
  • Sandler T (2005) Collective versus unilateral responses to terrorism. Policy Challenges Political Responses 124(1):75–93.CrossrefGoogle Scholar
  • Sandler T, Siqueira K (2009) Games and terrorism. Simulation Gaming 40(2):164–192.CrossrefGoogle Scholar
  • Sellke T, Bayarri MJ, Berger JO (2001) Calibration of p values for testing precise null hypotheses. Amer. Statistician 55(1):62–71.CrossrefGoogle Scholar
  • Shan X, Zhuang J (2013a) Cost of equity in homeland security resource allocation in the face of a strategic attacker. Risk Anal. 33(6):1083–1099.CrossrefGoogle Scholar
  • Shan X, Zhuang J (2013b) Cost of equity in homeland security resource allocation in the face of a strategic attacker. Risk Anal. 33(6):1083–1099.CrossrefGoogle Scholar
  • Shan X, Zhuang J (2013c) Hybrid defensive resource allocations in the face of partially strategic attackers in a sequential defender-attacker game. Eur. J. Oper. Res. 228(1):262–272.CrossrefGoogle Scholar
  • Shughart WF, William F (2011) The Handbook on the Political Economy of War (Edward Elgar Publishing, Cheltenham, UK).Google Scholar
  • Skaperdas S (1996) Contest success functions. Econom. Theory 7(2):283–290.CrossrefGoogle Scholar
  • Stewart MG, Mueller J (2011) Cost-benefit analysis of advanced imaging technology full body scanners for airline passenger security screening. J. Homeland Security Emergency Management 8(1):30.CrossrefGoogle Scholar
  • U.S. Department of Homeland Security (2016) DHS efficiency review. Accessed April 7, 2017, http://www.dhs.gov/dhs-efficiency-review.Google Scholar
  • U.S. Department of Homeland Security (2017) DHS budget. Accessed April 7, 2017, http://www.dhs.gov/xabout/budget/dhs-budget.shtm.Google Scholar
  • U.S. Department of the Treasury (2011) Terrorist finance tracking program. Accessed April 7, 2017, http://www.treasury.gov/resource-center/terrorist-illicit-finance/Terrorist-Finance-Tracking/Pages/tftp.aspx.Google Scholar
  • Wang C, Bier VM (2011) Target-hardening decisions based on uncertain multiattribute terrorist utility. Decision Anal. 8(4):286–302.LinkGoogle Scholar
  • Wang C, Bier VM (2012) Optimal defensive allocations in the face of uncertain terrorist preferences, with an emphasis on transportation. Homeland Security Affairs. Accessed April 7, 2017, https://www.hsaj.org/articles/210.Google Scholar
  • Wang C, Bier VM (2015) Quantifying adversary capabilities to inform defensive resource allocation. Risk Anal. 36(4):756–775.CrossrefGoogle Scholar
  • Wikipedia (2014) List of terrorist incidents. Accessed April 7, 2017 https://en.wikipedia.org/wiki/List_of_terrorist_incidents.Google Scholar
  • Willis HH, Morral AR, Kelly TK, Medby JJ (2005) Estimating terrorism risk. Accessed April 7, 2017, http://www.rand.org/pubs/monographs/2005/RAND_MG388.pdf.Google Scholar
  • Zhuang J, Bier VM (2007) Balancing terrorism and natural disasters-defensive strategy with endogenous attacker effort. Oper. Res. 55(5):976–991.LinkGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.