Abstract
In this work, the Stackelberg differential game of $E$-differentiable and $E$ convex function is studied in order to fight the terrorism taking into account the government's procedures such as education quality, better job opportunity, social justice, religious awareness and security arrangements. We consider Stackelberg differential game. Firstly, the government is the leader and the terrorist organization is the follower. Secondly, the terrorist organization is the leader and the government is a follower. Furthermore, we apply the necessary conditions of the Stackelberg differential game for these cases to obtain the optimal strategy of this problem.
Highlights
The government’s tasks are very important for counter-terror, the government must be applied some subject of mathematics to get methods for combating terrorism, Operations Research
Counter-terror measures range comes from security arrangements and the government’s procedures to freezing assets of a terrorist organization or even to invade their territories for assassinating the terrorists
We study how to help the governments to counterterrorism, the Stackelberg differential game plays the main role to combat the terrorism
Summary
The government’s tasks are very important for counter-terror, the government must be applied some subject of mathematics to get methods for combating terrorism, Operations Research. The terrorism infighting by Stackelberg and Nash strategies are introduced in [12], the interactions strategics between R&D, defense and preemption is presented in [13], a minmax differential game approach is studied to fight the terrorism [14, 15]. Megahed [19] discussed that governments must be made some procedures for fighting the terrorism such as unemployment, justice social, religious awareness, improving the education with considering the security measurements. The objectives of the government drive his utility from the loss of the terrorist resources and their activities but incur costs for combating terror and dis-utility from the terror organizations, the later tries to maximize its power both by its size and its terrorist attacks. We study how to help the governments to counterterrorism, the Stackelberg differential game plays the main role to combat the terrorism
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