Two-on-one combat games
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.
scientific article; zbMATH DE number 4143818