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Optimal number of pursuers in differential games on the 1-skeleton of an orthoplex

We study a differential game of many pursuers and one evader. All the players move only along the one-skeleton graph of an orthoplex of dimension d+1. It is assumed that the maximal speeds of the pursuers are less than the speed of the evader. By definition, the pursuit is completed if the position...

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Main Authors: Azamov, Abdulla, Ibragimov, Gafurjan, Ibaydullaev, Tolanbay, Alias, Idham Arif
Format: Article
Published: MDPI AG 2021
Online Access:http://psasir.upm.edu.my/id/eprint/94444/
https://www.mdpi.com/2073-8994/13/11/2170/htm
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spelling my.upm.eprints.944442022-11-25T03:20:07Z http://psasir.upm.edu.my/id/eprint/94444/ Optimal number of pursuers in differential games on the 1-skeleton of an orthoplex Azamov, Abdulla Ibragimov, Gafurjan Ibaydullaev, Tolanbay Alias, Idham Arif We study a differential game of many pursuers and one evader. All the players move only along the one-skeleton graph of an orthoplex of dimension d+1. It is assumed that the maximal speeds of the pursuers are less than the speed of the evader. By definition, the pursuit is completed if the position of a pursuer coincides with the position of the evader. Evasion is said to be possible in the game if the movements of players are started from some initial positions and the position of the evader never coincides with the position of any pursuer. We found the optimal number of pursuers in the game. The symmetry of the orthoplex plays an important role in the construction of the players’ strategies. MDPI AG 2021-11 Article PeerReviewed Azamov, Abdulla and Ibragimov, Gafurjan and Ibaydullaev, Tolanbay and Alias, Idham Arif (2021) Optimal number of pursuers in differential games on the 1-skeleton of an orthoplex. Symmetry, 13 (11). art. no. 2170. pp. 1-8. ISSN 2073-8994 https://www.mdpi.com/2073-8994/13/11/2170/htm 10.3390/sym13112170
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description We study a differential game of many pursuers and one evader. All the players move only along the one-skeleton graph of an orthoplex of dimension d+1. It is assumed that the maximal speeds of the pursuers are less than the speed of the evader. By definition, the pursuit is completed if the position of a pursuer coincides with the position of the evader. Evasion is said to be possible in the game if the movements of players are started from some initial positions and the position of the evader never coincides with the position of any pursuer. We found the optimal number of pursuers in the game. The symmetry of the orthoplex plays an important role in the construction of the players’ strategies.
format Article
author Azamov, Abdulla
Ibragimov, Gafurjan
Ibaydullaev, Tolanbay
Alias, Idham Arif
spellingShingle Azamov, Abdulla
Ibragimov, Gafurjan
Ibaydullaev, Tolanbay
Alias, Idham Arif
Optimal number of pursuers in differential games on the 1-skeleton of an orthoplex
author_facet Azamov, Abdulla
Ibragimov, Gafurjan
Ibaydullaev, Tolanbay
Alias, Idham Arif
author_sort Azamov, Abdulla
title Optimal number of pursuers in differential games on the 1-skeleton of an orthoplex
title_short Optimal number of pursuers in differential games on the 1-skeleton of an orthoplex
title_full Optimal number of pursuers in differential games on the 1-skeleton of an orthoplex
title_fullStr Optimal number of pursuers in differential games on the 1-skeleton of an orthoplex
title_full_unstemmed Optimal number of pursuers in differential games on the 1-skeleton of an orthoplex
title_sort optimal number of pursuers in differential games on the 1-skeleton of an orthoplex
publisher MDPI AG
publishDate 2021
url http://psasir.upm.edu.my/id/eprint/94444/
https://www.mdpi.com/2073-8994/13/11/2170/htm
_version_ 1751538230363160576
score 13.211869

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