A class of differential games with two pursuers versus one evader

A class of differential games with two pursuers versus one evader is investigated for Nash equilibrium solutions. The solutions show that the state space can be partitioned into the following three regions: (i) the evader, E, plays a two-player, nonzero-sum differential game against one of the two pursuers, P, and ignores the other pursuer, Q; (ii) the evader plays a two-player, nonzero-sum differential game against Q and ignores P; (iii) the evader plays against both of the pursuers. A specific example is examined to illustrate how the theory can be applied.