A Study on Nash-Collative Differential Game of N-Players for Counterterrorism

In this work, by using the Nash-collative approach for a differential game problem between N-governments and terrorist organizations, we study governments’ cooperation and the role of each government for counterterrorism. Furthermore, we discuss the intertemporal strategic interaction of governments...

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Main Authors: Mohamed Abd El-Hady Kassem, Abd El-Monem A. Megahed, Hebatallah K. Arafat
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/7513406
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author Mohamed Abd El-Hady Kassem
Abd El-Monem A. Megahed
Hebatallah K. Arafat
author_facet Mohamed Abd El-Hady Kassem
Abd El-Monem A. Megahed
Hebatallah K. Arafat
author_sort Mohamed Abd El-Hady Kassem
collection DOAJ
description In this work, by using the Nash-collative approach for a differential game problem between N-governments and terrorist organizations, we study governments’ cooperation and the role of each government for counterterrorism. Furthermore, we discuss the intertemporal strategic interaction of governments and terrorist organizations, where all world governments have to cooperate to fight terrorism. Also, we study the necessary conditions for finding the optimal strategies for each government to fight terrorism; we discuss the existence of the solution of the formulated problem and the stability set of the first kind of the optimal strategies.
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id doaj-art-3e9cac8246fd4e949eb7c7b72fe91911
institution Kabale University
issn 2314-8896
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language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-3e9cac8246fd4e949eb7c7b72fe919112025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/75134067513406A Study on Nash-Collative Differential Game of N-Players for CounterterrorismMohamed Abd El-Hady Kassem0Abd El-Monem A. Megahed1Hebatallah K. Arafat2Department of Mathematics, Faculty of Science, Tanta University, EgyptBasic Science Department, Faculty of Computers and Informatics, Suez Canal University, Ismailia, EgyptBasic Science Department, Faculty of Computers and Informatics, Suez Canal University, Ismailia, EgyptIn this work, by using the Nash-collative approach for a differential game problem between N-governments and terrorist organizations, we study governments’ cooperation and the role of each government for counterterrorism. Furthermore, we discuss the intertemporal strategic interaction of governments and terrorist organizations, where all world governments have to cooperate to fight terrorism. Also, we study the necessary conditions for finding the optimal strategies for each government to fight terrorism; we discuss the existence of the solution of the formulated problem and the stability set of the first kind of the optimal strategies.http://dx.doi.org/10.1155/2021/7513406
spellingShingle Mohamed Abd El-Hady Kassem
Abd El-Monem A. Megahed
Hebatallah K. Arafat
A Study on Nash-Collative Differential Game of N-Players for Counterterrorism
Journal of Function Spaces
title A Study on Nash-Collative Differential Game of N-Players for Counterterrorism
title_full A Study on Nash-Collative Differential Game of N-Players for Counterterrorism
title_fullStr A Study on Nash-Collative Differential Game of N-Players for Counterterrorism
title_full_unstemmed A Study on Nash-Collative Differential Game of N-Players for Counterterrorism
title_short A Study on Nash-Collative Differential Game of N-Players for Counterterrorism
title_sort study on nash collative differential game of n players for counterterrorism
url http://dx.doi.org/10.1155/2021/7513406
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