Best Response Strategies for Asymmetric Sensing in Linear-Quadratic Differential Games
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911910727778304 |
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| author | Aggarwal, Shubham Başar, Tamer Maity, Dipankar |
| author_facet | Aggarwal, Shubham Başar, Tamer Maity, Dipankar |
| contents | In this paper, we revisit the two-player continuous-time infinite-horizon linear quadratic differential game problem, where one of the players can sample the state of the system only intermittently due to a sensing constraint while the other player can do so continuously. Under these asymmetric sensing limitations between the players, we analyze the optimal sensing and control strategies for the player at a disadvantage while the other player continues to play its security strategy. We derive an optimal sensor policy within the class of stationary randomized policies. Finally, using simulations, we show that the expected cost accrued by the first player approaches its security level as its sensing limitation is relaxed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05632 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Best Response Strategies for Asymmetric Sensing in Linear-Quadratic Differential Games Aggarwal, Shubham Başar, Tamer Maity, Dipankar Optimization and Control Systems and Control In this paper, we revisit the two-player continuous-time infinite-horizon linear quadratic differential game problem, where one of the players can sample the state of the system only intermittently due to a sensing constraint while the other player can do so continuously. Under these asymmetric sensing limitations between the players, we analyze the optimal sensing and control strategies for the player at a disadvantage while the other player continues to play its security strategy. We derive an optimal sensor policy within the class of stationary randomized policies. Finally, using simulations, we show that the expected cost accrued by the first player approaches its security level as its sensing limitation is relaxed. |
| title | Best Response Strategies for Asymmetric Sensing in Linear-Quadratic Differential Games |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2406.05632 |