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A static potential game is a non-cooperative game for which there exists a fictitious function, also referred to as a potential function, whose optimizers provide a Nash equilibrium of the associated non-cooperative game. In this work, we study non-zero-sum finite horizon difference games with feedback information structure which admit a potential game structure. We provide sufficient conditions for the existence of an optimal control problem such that the optimal solution of this problem provides a feedback Nash equilibrium of the corresponding non-cooperative game. We specialize the obtained results to a linear-quadratic setting so as to obtain these sufficient conditions in terms of the problem data. Finally, we illustrate our results using numerical simulations.

(joint work with Aathira Prasad and Partha Sarathi Mohapatra)