Solutions of a cooperative differential group pursuit game

In the paper the non-zero sum group pursuit game with $m$ pursuers and one evader is considered. A new approach to finding a solution of this kind of games is proposed. The key point of the paper is to construct а cooperative solution of the game (the core) and compare it with an non-cooperative solutions such as Nash equilibria. We prove that there exists an nonempty time-consistent core in this game. Ill. 3, bibl. 14.