Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.3390/sym13112170 |
| Publisher: | MDPI AG |
| Keywords: | Graph of a polyhedron; Differential game; Pursuit game; Evasion game; Game in normal form; π-strategy |
| Depositing User: | Mas Norain Hashim |
| Date Deposited: | 25 Nov 2022 03:20 |
| Last Modified: | 25 Nov 2022 03:20 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym13112170 |
| URI: | http://psasir.upm.edu.my/id/eprint/94444 |
| Statistic Details: | View Download Statistic |
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