IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v192y2009i1p198-208.html
   My bibliography  Save this article

Nature plays with dice - terrorists do not: Allocating resources to counter strategic versus probabilistic risks

Author

Listed:
  • Golany, Boaz
  • Kaplan, Edward H.
  • Marmur, Abraham
  • Rothblum, Uriel G.

Abstract

Probabilistic uncertainty is caused by "chance", whereas strategic uncertainty is caused by an adverse interested party. Using linear impact functions, the problems of allocating a limited resource to defend sites that face either probabilistic risk or strategic risk are formulated as optimization problems that are solved explicitly. The resulting optimal policies differ - under probabilistic risk, the optimal policy is to focus the investment of resources on priority sites where they yield the highest impact, while under strategic risk, the best policy is to spread the resources so as to decrease the potential damage level of the most vulnerable site(s). Neither solution coincides with the commonly practiced proportionality allocation scheme.

Suggested Citation

  • Golany, Boaz & Kaplan, Edward H. & Marmur, Abraham & Rothblum, Uriel G., 2009. "Nature plays with dice - terrorists do not: Allocating resources to counter strategic versus probabilistic risks," European Journal of Operational Research, Elsevier, vol. 192(1), pages 198-208, January.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:198-208
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(07)00914-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kaplan, Edward H. & Pollack, Harold, 1998. "Allocating HIV Prevention Resources," Socio-Economic Planning Sciences, Elsevier, vol. 32(4), pages 257-263, December.
    2. Martin Shubik & Robert J. Weber, 1978. "Competitive Valuation of Cooperative Games," Cowles Foundation Discussion Papers 482, Cowles Foundation for Research in Economics, Yale University.
    3. Coughlin, Peter J, 1992. "Pure Strategy Equilibria in a Class of Systems Defense Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 195-210.
    4. Bernard Harris, 2004. "Mathematical Methods in Combatting Terrorism," Risk Analysis, John Wiley & Sons, vol. 24(4), pages 985-988, August.
    5. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    6. Gerald Brown & Matthew Carlyle & Javier Salmerón & Kevin Wood, 2006. "Defending Critical Infrastructure," Interfaces, INFORMS, vol. 36(6), pages 530-544, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Edouard Kujawski, 2015. "Accounting for Terrorist Behavior in Allocating Defensive Counterterrorism Resources," Systems Engineering, John Wiley & Sons, vol. 18(4), pages 365-376, July.
    2. Powell, Robert, 2009. "Sequential, nonzero-sum "Blotto": Allocating defensive resources prior to attack," Games and Economic Behavior, Elsevier, vol. 67(2), pages 611-615, November.
    3. Manish Jain & Jason Tsai & James Pita & Christopher Kiekintveld & Shyamsunder Rathi & Milind Tambe & Fernando Ordóñez, 2010. "Software Assistants for Randomized Patrol Planning for the LAX Airport Police and the Federal Air Marshal Service," Interfaces, INFORMS, vol. 40(4), pages 267-290, August.
    4. Mohammad E. Nikoofal & Jun Zhuang, 2012. "Robust Allocation of a Defensive Budget Considering an Attacker's Private Information," Risk Analysis, John Wiley & Sons, vol. 32(5), pages 930-943, May.
    5. Battigalli, Pierpaolo & Bonanno, Giacomo, 1997. "The Logic of Belief Persistence," Economics and Philosophy, Cambridge University Press, vol. 13(1), pages 39-59, April.
    6. Szabó, György & Borsos, István & Szombati, Edit, 2019. "Games, graphs and Kirchhoff laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 416-423.
    7. 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.
    8. Shi, Yi & Deng, Yawen & Wang, Guoan & Xu, Jiuping, 2020. "Stackelberg equilibrium-based eco-economic approach for sustainable development of kitchen waste disposal with subsidy policy: A case study from China," Energy, Elsevier, vol. 196(C).
    9. Zhang, Chi & Ramirez-Marquez, José Emmanuel & Wang, Jianhui, 2015. "Critical infrastructure protection using secrecy – A discrete simultaneous game," European Journal of Operational Research, Elsevier, vol. 242(1), pages 212-221.
    10. Marc Le Menestrel, 2003. "A one-shot Prisoners’ Dilemma with procedural utility," Economics Working Papers 819, Department of Economics and Business, Universitat Pompeu Fabra.
    11. Cheng‐Kuang Wu & Yi‐Ming Chen & Dachrahn Wu & Ching‐Lin Chi, 2020. "A Game Theory Approach for Assessment of Risk and Deployment of Police Patrols in Response to Criminal Activity in San Francisco," Risk Analysis, John Wiley & Sons, vol. 40(3), pages 534-549, March.
    12. Nasimeh Heydaribeni & Achilleas Anastasopoulos, 2019. "Linear Equilibria for Dynamic LQG Games with Asymmetric Information and Dependent Types," Papers 1909.04834, arXiv.org.
    13. Müller, Christoph, 2020. "Robust implementation in weakly perfect Bayesian strategies," Journal of Economic Theory, Elsevier, vol. 189(C).
    14. Hitoshi Matsushima, 2019. "Implementation without expected utility: ex-post verifiability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 575-585, December.
    15. Dasgupta Utteeyo, 2011. "Are Entry Threats Always Credible?," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-41, December.
    16. Baran Han, 2018. "The role and welfare rationale of secondary sanctions: A theory and a case study of the US sanctions targeting Iran," Conflict Management and Peace Science, Peace Science Society (International), vol. 35(5), pages 474-502, September.
    17. Carlos Pimienta & Jianfei Shen, 2014. "On the equivalence between (quasi-)perfect and sequential equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 395-402, May.
    18. Asheim, Geir & Søvik, Ylva, 2003. "The semantics of preference-based belief operators," Memorandum 05/2003, Oslo University, Department of Economics.
    19. Wang, Yafeng & Graham, Brett, 2009. "Generalized Maximum Entropy estimation of discrete sequential move games of perfect information," MPRA Paper 21331, University Library of Munich, Germany.
    20. repec:dau:papers:123456789/6818 is not listed on IDEAS
    21. Tobias Harks & Martin Hoefer & Anja Schedel & Manuel Surek, 2021. "Efficient Black-Box Reductions for Separable Cost Sharing," Mathematics of Operations Research, INFORMS, vol. 46(1), pages 134-158, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:198-208. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.