1989 Volume 25 Issue 3 Pages 298-303
In this paper, three-person deterministic Stackelberg game problems with a linear hierarchical decision structure are considered in a general Hilbert space setting. The existences and the constructions of the optimal affine incentive strategies for both the leader and one of the followers are studied by a vector space approach. A special class of problems are solved as an application of the theory, and the explicit optimal affine incentive strategies are obtained.