A Novel Dual-Role Two Pursuers and Two Evaders Simple Motion Game

Pengfei Zhang, Peifeng Chen, Hao Zhang, Yiqun Zhang, Feng Song, Hongwei Lan

2022

Abstract

Multiple players pursuit evasion differential games are significant for the development of unmanned aircraft. In this study, a two pursuers and two evaders game is to be investigated, of which the payoff function is the instant when both the evaders are first time captured by the pursuers. The pursuers wish to minimize the capture instant while the evaders have the opposite purpose. In this game, the positional coincidence of any two players implies that the two players are destroyed. Different from previous literature, the players are considered to have two roles, that is the evader has the role of escaping from the pursuer as well as the role of pursuing the pursuer. To solve the problem, we first present the state feedback strategies of the pursuers. Secondly, the payoff function and the best strategies of the evaders are deduced under the condition that the evader does not intercept the pursuers. Thirdly, by contradiction, it is proved that the capture instant will be decreased when the evaders try to intercept one of the pursuers. As a result, the underlying strategies are equilibrium strategies.

Paper Citation

in Harvard Style

Zhang P., Chen P., Zhang H., Zhang Y., Song F. and Lan H. (2022). A Novel Dual-Role Two Pursuers and Two Evaders Simple Motion Game. In Proceedings of the 3rd International Symposium on Automation, Information and Computing - Volume 1: ISAIC; ISBN 978-989-758-622-4, SciTePress, pages 674-680. DOI: 10.5220/0012016100003612

in Bibtex Style

@conference{isaic22,
author={Pengfei Zhang and Peifeng Chen and Hao Zhang and Yiqun Zhang and Feng Song and Hongwei Lan},
title={A Novel Dual-Role Two Pursuers and Two Evaders Simple Motion Game},
booktitle={Proceedings of the 3rd International Symposium on Automation, Information and Computing - Volume 1: ISAIC},
year={2022},
pages={674-680},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012016100003612},
isbn={978-989-758-622-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 3rd International Symposium on Automation, Information and Computing - Volume 1: ISAIC
TI - A Novel Dual-Role Two Pursuers and Two Evaders Simple Motion Game
SN - 978-989-758-622-4
AU - Zhang P.
AU - Chen P.
AU - Zhang H.
AU - Zhang Y.
AU - Song F.
AU - Lan H.
PY - 2022
SP - 674
EP - 680
DO - 10.5220/0012016100003612
PB - SciTePress