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The Stackelberg differential game for counter-terrorism

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Abstract

The Stackelberg approach of the differential game is important to fight terrorism, that is through government tasks such as education improvement, solving the unemployment problems, justice in the society, knowledge of true religion and the security, this approach is a hierarchical solution of a differential game, leader, and followers. This study is divided into two stages; stage 1: the government is the leader and the terrorist organization is the follower. Stage 2: the terrorist organization is the leader and government is the follower, we study the analytic form of this approach for obtaining the optimal strategy to fight terrorism.

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References

  • Ahmed, E., Elgazzar, A.S., Hegazi, A.S.: On comlex adaptive and terrorism. Phys. Lett. A 337, 127–129 (2005)

    Article  Google Scholar 

  • Caulkins, J.P., Feichtinger, G., Grass, D., Tragler, G.: Optimizing Counterterror operations: should one fight with “fire ”or “water ”? Comput. Oper. Res. 35, 18741855 (2008)

    Article  Google Scholar 

  • Caulkins, J.P., Feichtinger, G., Grass, D., Tragler, G.: Optimal control of terrorism and global reputation: a case study with novel threshold behavior. Oper. Res. Lett. 3, 387–391 (2009)

    Article  Google Scholar 

  • Hegazy, S., Megahed, A.A., Youness, E., Elbanna, A.: Min–max zero-sum two persons fuzzy continuous differential games. IJAM 21(1), 1–16 (2008)

    Google Scholar 

  • Hsia, K.H., Hsie, J.G.: A first approach to fuzzy differential game problem: guarding terrtory. Fuzzy Sets Syst. 55, 157–167 (1993)

    Article  Google Scholar 

  • Hung, I.C., Hisa, K.H., Chen, L.W.: Fuzzy differential game of guarding a movable terrtory. Inform. Sci. 91, 113–131 (1993)

    Google Scholar 

  • Megahed, A.E.-M.A.: A differential game related to terrorism: min–max zero-sum two persons differential game. Neural Comput Appl. (2016). https://doi.org/10.1007/s00521-016-2706-9

    Google Scholar 

  • Megahed, Abd El-Monem A.: The development of a differential game related to terrorism:nash differential game. JEMS 25(3), 308–312 (2017)

    Google Scholar 

  • Megahed, A.A., Hegazy, S.: Min–max zero two persons continuous differential game with fuzzy control. AJCEM 2, 86–98 (2013)

    Google Scholar 

  • Nova, A.J., Feichtinger, G., Leitmann, G.: A differential game related to terrorism: nash and Stackelberg strategies. J. Optim. Theory Appl. 144, 533–555 (2010)

    Article  Google Scholar 

  • Roy, Abhra, Paul, Jomon Aliyas: Terrorism deterrence in a two country framework: strategic interactions between R&D, defense and pre-emption. Ann. Oper. Res. 211(1), 399–432 (2013)

    Article  Google Scholar 

  • Youness, E., Megahed, A.A.: A study on fuzzy differential game. Le Mat. VI(1), 97–107 (2001)

    Google Scholar 

  • Youness, E., Megahed, A.A.: A Study on Large Scale Continuous Differential Games. Bull. Culcutta Math. Soc. 94(5), 359–368 (2002)

    Google Scholar 

  • Youness, E., Hughes, J.B., El-kholy, N.A.: Parametric nash collative differential games. Math. Comput. Model. 26(2), 97–105 (1997)

    Article  Google Scholar 

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Acknowledgements

My highly grateful and appreciation to the Basic Sciences Research Unit, Deanship of Scientific Research at Majmaah University for funding this study, Project No. 37/34, 1437 h-2016 ad.

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Correspondence to Abd El-Monem A. Megahed.

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Megahed, A.EM.A. The Stackelberg differential game for counter-terrorism. Qual Quant 53, 207–220 (2019). https://doi.org/10.1007/s11135-018-0742-5

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