Informational Uniqueness of Closed-Loop Nash Equilibria for a Class of Nonstandard Dynamic Games

摘要

This reprint discusses an extension of the currently available theory of noncooperative dynamic games to game models whose state equations are of order higher than one. In a discrete-time framework, it first elucidates the reasons why the theory developed for first-order systems is not applicable to higher-order systems, and then presents a general procedure to obtain an informationally unique Nash equilibrium solution in the presence of random disturbances. A numerical example solved in the paper illustrates the general approach. Keywords: Second-order systems; Stochastic dynamics; Closed-loop information patterns. (Author)