On generalized Stackelberg strategies

The concept of Stackelberg strategy for a nonzero-sum two-person game is extended to allow for a nonunique “rational” response of the follower. This leads to the notion of a generalized Stackelberg strategy for the leader, which guarantees him a cost value that cannot be exceeded, no matter what the “rational” response of the follower. Then, a generalized Stackelberg strategy pair is defined. A simple example is given. The idea of a generalized Stackelberg strategy and strategy pair is then applied to the situation of one leader and many “rational” followers.