Abstract:The paper is concerned with Stackelberg solutions for a differential game with deterministic dynamics but random initial data, where the leading player can adopt a strategy in feedback form: u 1 = u 1 (t, x). The first main result provides the existence of a Stackelberg equilibrium solution, assuming that the family of feedback controls u 1 (t, ·) available to the leading player are constrained to a finite dimensional space. A second theorem provides necessary conditions for the optimality of a feedback strate… Show more
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