Feedback Nash equilibria for scalar N-player linear quadratic dynamic games
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913663664783360 |
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| author | Nortmann, Benita Sassano, Mario Mylvaganam, Thulasi |
| author_facet | Nortmann, Benita Sassano, Mario Mylvaganam, Thulasi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19377 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Feedback Nash equilibria for scalar N-player linear quadratic dynamic games Nortmann, Benita Sassano, Mario Mylvaganam, Thulasi Optimization and Control Systems and Control 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. |
| title | Feedback Nash equilibria for scalar N-player linear quadratic dynamic games |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2411.19377 |