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Published October 10, 2017 | Submitted
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A Class of Differential Games Where the Closed-Loop and Open-Loop Nash Equilibria Coincide

Abstract

It is well known that, in general, Nash equilibria in open-loop strategies do not coincide with those in closed-loop strategies. This note identifies a class of differential games in which the Nash equilibrium in closed-loop strategies is degenerate in the sense that it depends on time (t) only. Consequently, the closed-loop equilibrium is also an equilibrium in open-loop strategies.

Additional Information

Published as Reinganum, Jennifer F. "A class of differential games for which the closed-loop and open-loop Nash equilibria coincide." Journal of Optimization Theory and Applications 36.2 (1982): 253-262.

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Created:
August 19, 2023
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January 14, 2024