Two-on-one combat games
type: Item
instance of: scholarly article
title: Two-on-one combat games
zbMATH Open document ID: 0697.90097
DOI: 10.1016/0898-1221(89)90128-4
author: N. E. Zubov
publication date: 1989-01-01T00:00:00Z
review text: The paper deals with a differential game in which there are three participants. Each player controls its own motion in some state space and has its target set. Any player that enters into the target set of another is said to be captured. Two players team up against the third and attempt to capture it. The latter maneuvers to avoid capture and also to capture both team members. To solve the problem a set of differential games is defined; the solution of these games are associated with the partition of the phase space into regions and yield a basis for determining a player strategies. The numerical solution method based on the interior penalty function approach is proposed.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A99
Mathematics Subject Classification ID: 91A10
zbMATH DE Number: 4143818
zbMATH Keywords: two-on-one differential game
zbMATH Keywords: pursuit-evasion
zbMATH Keywords: numerical solutions
zbMATH Keywords: team game
zbMATH Keywords: three participants
zbMATH Keywords: interior penalty function approach
reviewed by: O. I. Nikonov
MaRDI profile type: Publication
full work available at URL: 0898-1221(89)90128-4
OpenAlex ID: W1975513251
cites work: Combat games
cites work: Analysis of a combat problem: the turret game
cites work: Optimal strategies in event-constrained differential games
cites work: Q5638152
cites work: A differential game with two pursuers and one evader
cites work: Point-capture of two evaders in succession
cites work: Q5532185
cites work: Dynamic noncooperative game theory
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4143818