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arXiv · 2509.05808

Hierarchical Decision-Making in Population Games

Yu-Wen Chen·Nuno C. Martins·Murat Arcak
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Abstract

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.

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BibTeXRIS

Yu-Wen Chen, Nuno C. Martins, Murat Arcak. 2025-09-06. Hierarchical Decision-Making in Population Games. https://arxiv.org/abs/2509.05808

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