Stackelberg Solutions of Differential Games in the Class of Nonanticipative Strategies

The reverse Stackelberg solution of a two-person nonzero-sum differential game is considered. We assume that the leader plays in the class of nonanticipative strategies. The main result is the description of the Stackelberg solutions via an auxiliary zero-sum differential game. The case when the leader’s strategies depend on the actual control of the follower is compared with the case when the leader uses nonanticipative strategies. Copyright Springer Science+Business Media New York 2014