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Feedback Nash equilibria for scalar N-player linear quadratic dynamic games (2411.19377v1)

Published 28 Nov 2024 in math.OC, cs.SY, and eess.SY

Abstract: Considering infinite-horizon, discrete-time, linear quadratic, N-player dynamic games with scalar dynamics, a graphical representation of feedback Nash equilibrium solutions is provided. This representation is utilised to derive conditions for the number and properties of different feedback Nash equilibria a game may admit. The results are illustrated via a numerical example.