ABSTRACT
This chapter is devoted to an overview of the results concerning the differential games of pursuit–evasion with many participants on the opposing sides. According to L. S. Pontryagin, such problems are the pinnacle of the theory of conflict-controlled processes. The basic method of research is the method of resolving functions. Here the problems with phase constraints, problems of group and successive pursuit as well as the problems of interaction of groups of participants are considered. Sufficient and sometimes the necessary conditions for the completion of the game in a finite time are given. In this case, quasi and stroboscopic strategies are used. The results are used to solve several model examples from the book of R. Isaacs illustrating game situations. 1
