ABSTRACT
We consider the problem of dealing with the terrorist group Lashkar-e-Taiba (LeT), responsible for the 2008 Mumbai attacks, as a five-player game. However, as different experts vary in their assessment of players' payoffs in this game (and other games), we identify multi-payoff equilibria through a novel combination of vector payoffs and well-supported ∈-approximate equilibria. We develop a grid search algorithm for computing such equilibria, and provide experimental validation using three payoff matrices filled in by experts in India-Pakistan relations. The resulting system, called PREVE, allows us to analyze the equilibria thus generated and suggest policies to reduce attacks by LeT. We briefly discuss the suggested policies and identify their strengths and weaknesses.
- A. Mannes, "Qualitative analysis & computational techniques for the counter-terror analyst," Handbook of Computational Approaches to Counterterrorism, pp. 83--98, 2013.Google ScholarCross Ref
- V. Subrahmanian, A. Mannes, A. Sliva, J. Shakarian, and J. P. Dickerson, Computational Analysis of Terrorist Groups: Lashkar-e-Taiba. Springer New York, 2012. Google ScholarDigital Library
- T. Schelling, The Strategy of Conflict. Harvard University Press, 1960.Google Scholar
- L. Shapley and F. Rigby, "Equilibrium points in games with vector payoffs," Naval Research Logistics Quarterly, vol. 6, no. 1, pp. 57--61, 1959.Google ScholarCross Ref
- C. Daskalakis, P. W. Goldberg, and C. H. Papadimitriou, "The complexity of computing a nash equilibrium," in STOC, 2006. Google ScholarDigital Library
- R. Myerson, Game Theory: Analysis of Conflict. Harvard University Press, 1997.Google Scholar
- J. P. Dickerson, A. Mannes, and V. Subrahmanian, "Dealing with Lashkar-e-Taiba: A multi-player game-theoretic perspective," in Open Source Intelligence and Web Mining (OSINT), Athens, Greece, 2011. Google ScholarDigital Library
- S. Tankel, Lashkar-e-Taiba: Past Operations and Future Prospects. New America Foundation, 2011.Google Scholar
- X. Chen and X. Deng, "Settling the complexity of two-player Nash equilibrium," in FOCS, 2006. Google ScholarDigital Library
- R. Lipton, E. Markakis, and A. Mehta, "Playing large games using simple strategies," in EC'03. ACM, 2003, pp. 36--41. Google ScholarDigital Library
- B. B. de Mesquita, The Predictioneer's Game: Using the Logic of Brazen Self-Interest to See and Shape the Future. Random House, 2010.Google Scholar
- F. Ozgul, J. Bondy, and H. Aksoy, "Mining for offender group detection and story of a police operation," in Proceedings of the Sixth Australasian Conference on Data Mining and Analytics. Australian Computer Society, 2007. Google ScholarDigital Library
- R. Lindelauf, P. Borm, and H. Hamers, "The influence of secrecy on the communication structure of covert networks," Social Networks, vol. 31, no. 2, pp. 126--137, 2009.Google ScholarCross Ref
- M. Ovelgönne, C. Kang, A. Sawant, and V. S. Subrahmanian, "Covertness centrality in networks," in ASONAM, 2012, pp. 863--870. Google ScholarDigital Library
- T. Sandler and W. Enders, "An economic perspective on transnational terrorism," European Journal of Political Economy, vol. 20, no. 2, pp. 301--316, 2004.Google ScholarCross Ref
- W. Enders and T. Sandler, "Terrorism: Theory and applications," Handbook of defense economics, vol. 1, pp. 213--249, 1995.Google ScholarCross Ref
- J. A. Major, "Advanced techniques for modeling terrorism risk," Journal of Risk Finance, The, vol. 4, no. 1, pp. 15--24, 2002.Google ScholarCross Ref
- R. Clarke, Lashkar-i-Taiba: The Fallacy of Subservient Proxies and the Future of Islamist Terrorism in India. Strategic Studies Institute, US Army War College, 2010.Google Scholar
- S. Tankel, Storming the World Stage: The Story of Lashkar-e-Taiba. Columbia University Press, 2011.Google Scholar
- W. John, Caliphate's Soldiers: The Lashkar-e-Tayyeba's Long War. Amaryllis Press and the Observer Research Foundation, 2011.Google Scholar
- B. O. Riedel, Deadly embrace: Pakistan, America, and the future of the global Jihad. Brookings Institution Press, 2012.Google Scholar
- L. Shapley and F. Rigby, "Equilibrium points in games with vector payoffs," Naval Research Logistics Quarterly, vol. 6, no. 1, pp. 57--61, 1959.Google ScholarCross Ref
Index Terms
- PREVE: a policy recommendation engine based on vector equilibria applied to reducing LeT's attacks
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