Dynamically stable principles of optimality in cooperative differential games on quick action operation (Q580204)

This paper determines the class of cooperative differential games on quick action operation. It also considers the principles of optimality and questions of existence of solutions in such games. A superadditive characteristic set in a cooperative game is constructed, and the concept of sharing and of sharing predominence is introduced. The principle of dynamic stability in a cooperative game on quick action operation is defined, and a theorem on the existence of a dynamically stable c-nucleus is proved. Also, the application of the proposed treatment of games of group pursuit on quick-action operation is considered.