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.

Nortmann, B., Sassano, M., Mylvaganam, T. (2025). Feedback Nash equilibria for scalar N-player linear quadratic dynamic games. AUTOMATICA, 174 [10.1016/j.automatica.2025.112133].

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

Sassano, Mario;
2025-01-01

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.
2025
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore IINF-04/A - Automatica
English
Feedback Nash equilibria
Linear quadratic discrete-time dynamic games
Nortmann, B., Sassano, M., Mylvaganam, T. (2025). Feedback Nash equilibria for scalar N-player linear quadratic dynamic games. AUTOMATICA, 174 [10.1016/j.automatica.2025.112133].
Nortmann, B; Sassano, M; Mylvaganam, T
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/453931
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