Feedback Nash equilibria for scalar N-player linear quadratic dynamic games

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 equ...

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Hauptverfasser: Nortmann, Benita, Sassano, Mario, Mylvaganam, Thulasi
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2411.19377