Hierarchical Decision-Making in Population Games
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911141497667584 |
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| author | Chen, Yu-Wen Martins, Nuno C. Arcak, Murat |
| author_facet | Chen, Yu-Wen Martins, Nuno C. Arcak, Murat |
| contents | This paper introduces a hierarchical framework for population games, where individuals delegate decision-making to proxies that act within their own strategic interests. This framework extends classical population games, where individuals are assumed to make decisions directly, to capture various real-world scenarios involving multiple decision layers. We establish equilibrium properties and provide convergence results for the proposed hierarchical structure. Additionally, based on these results, we develop a systematic approach to analyze population games with general convex constraints, without requiring individuals to have full knowledge of the constraints as in existing methods. We present a navigation application with capacity constraints as a case study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05808 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hierarchical Decision-Making in Population Games Chen, Yu-Wen Martins, Nuno C. Arcak, Murat Systems and Control Multiagent Systems This paper introduces a hierarchical framework for population games, where individuals delegate decision-making to proxies that act within their own strategic interests. This framework extends classical population games, where individuals are assumed to make decisions directly, to capture various real-world scenarios involving multiple decision layers. We establish equilibrium properties and provide convergence results for the proposed hierarchical structure. Additionally, based on these results, we develop a systematic approach to analyze population games with general convex constraints, without requiring individuals to have full knowledge of the constraints as in existing methods. We present a navigation application with capacity constraints as a case study. |
| title | Hierarchical Decision-Making in Population Games |
| topic | Systems and Control Multiagent Systems |
| url | https://arxiv.org/abs/2509.05808 |