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Published in: Quality & Quantity 1/2019

19-03-2018

The Stackelberg differential game for counter-terrorism

Author: Abd El-Monem A. Megahed

Published in: Quality & Quantity | Issue 1/2019

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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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Literature
go back to reference Ahmed, E., Elgazzar, A.S., Hegazi, A.S.: On comlex adaptive and terrorism. Phys. Lett. A 337, 127–129 (2005)CrossRef Ahmed, E., Elgazzar, A.S., Hegazi, A.S.: On comlex adaptive and terrorism. Phys. Lett. A 337, 127–129 (2005)CrossRef
go back to reference 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)CrossRef 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)CrossRef
go back to reference 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)CrossRef 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)CrossRef
go back to reference 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) 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)
go back to reference Hsia, K.H., Hsie, J.G.: A first approach to fuzzy differential game problem: guarding terrtory. Fuzzy Sets Syst. 55, 157–167 (1993)CrossRef Hsia, K.H., Hsie, J.G.: A first approach to fuzzy differential game problem: guarding terrtory. Fuzzy Sets Syst. 55, 157–167 (1993)CrossRef
go back to reference Hung, I.C., Hisa, K.H., Chen, L.W.: Fuzzy differential game of guarding a movable terrtory. Inform. Sci. 91, 113–131 (1993) Hung, I.C., Hisa, K.H., Chen, L.W.: Fuzzy differential game of guarding a movable terrtory. Inform. Sci. 91, 113–131 (1993)
go back to reference Megahed, Abd El-Monem A.: The development of a differential game related to terrorism:nash differential game. JEMS 25(3), 308–312 (2017) Megahed, Abd El-Monem A.: The development of a differential game related to terrorism:nash differential game. JEMS 25(3), 308–312 (2017)
go back to reference Megahed, A.A., Hegazy, S.: Min–max zero two persons continuous differential game with fuzzy control. AJCEM 2, 86–98 (2013) Megahed, A.A., Hegazy, S.: Min–max zero two persons continuous differential game with fuzzy control. AJCEM 2, 86–98 (2013)
go back to reference 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)CrossRef 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)CrossRef
go back to reference 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)CrossRef 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)CrossRef
go back to reference Youness, E., Megahed, A.A.: A study on fuzzy differential game. Le Mat. VI(1), 97–107 (2001) Youness, E., Megahed, A.A.: A study on fuzzy differential game. Le Mat. VI(1), 97–107 (2001)
go back to reference Youness, E., Megahed, A.A.: A Study on Large Scale Continuous Differential Games. Bull. Culcutta Math. Soc. 94(5), 359–368 (2002) Youness, E., Megahed, A.A.: A Study on Large Scale Continuous Differential Games. Bull. Culcutta Math. Soc. 94(5), 359–368 (2002)
go back to reference Youness, E., Hughes, J.B., El-kholy, N.A.: Parametric nash collative differential games. Math. Comput. Model. 26(2), 97–105 (1997)CrossRef Youness, E., Hughes, J.B., El-kholy, N.A.: Parametric nash collative differential games. Math. Comput. Model. 26(2), 97–105 (1997)CrossRef
Metadata
Title
The Stackelberg differential game for counter-terrorism
Author
Abd El-Monem A. Megahed
Publication date
19-03-2018
Publisher
Springer Netherlands
Published in
Quality & Quantity / Issue 1/2019
Print ISSN: 0033-5177
Electronic ISSN: 1573-7845
DOI
https://doi.org/10.1007/s11135-018-0742-5

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