A Strong Duality Result for Constrained POMDPs with Multiple Cooperative Agents
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912347601240064 |
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| author | Khan, Nouman Subramanian, Vijay |
| author_facet | Khan, Nouman Subramanian, Vijay |
| contents | The work studies the problem of decentralized constrained POMDPs in a team-setting where multiple nonstrategic agents have asymmetric information. Using an extension of Sion's Minimax theorem for functions with positive infinity and results on weak-convergence of measures, strong duality is established for the setting of infinite-horizon expected total discounted costs when the observations lie in a countable space, the actions are chosen from a finite space, the constraint costs are bounded, and the objective cost is bounded from below. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14932 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Strong Duality Result for Constrained POMDPs with Multiple Cooperative Agents Khan, Nouman Subramanian, Vijay Optimization and Control Systems and Control The work studies the problem of decentralized constrained POMDPs in a team-setting where multiple nonstrategic agents have asymmetric information. Using an extension of Sion's Minimax theorem for functions with positive infinity and results on weak-convergence of measures, strong duality is established for the setting of infinite-horizon expected total discounted costs when the observations lie in a countable space, the actions are chosen from a finite space, the constraint costs are bounded, and the objective cost is bounded from below. |
| title | A Strong Duality Result for Constrained POMDPs with Multiple Cooperative Agents |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2303.14932 |