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This paper is concerned with non-zero sum differential games of mean-field stochastic differential equations with partial information and convex control domain. First, applying the classical convex variations, we obtain stochastic maximum principle for Nash equilibrium points. Subsequently, under additional assumptions, verification theorem for Nash equilibrium points is also derived. Finally, as...
In this paper, we study the stochastic linear quadratic regulation problem for linear discrete-time systems with multiple input channels. A necessary and sufficient condition is obtained by applying the leader-follower game approach. Different from the augmentation technique, the complete solution is given in terms of one difference Riccati equation and one Riccati-type equation. The key is to introduce...
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