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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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. |
format | Article |
id | doaj-art-3e9cac8246fd4e949eb7c7b72fe91911 |
institution | Kabale University |
issn | 2314-8896 2314-8888 |
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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