Cooperative Multi-Agent Assignment over Stochastic Graphs via Constrained Reinforcement Learning

Fuente: arXiv
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Auteurs principaux: Agorio, Leopoldo, Van Alen, Sean, Paternain, Santiago, Calvo-Fullana, Miguel, Bazerque, Juan Andres
Format: Preprint
Publié: 2025
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author Agorio, Leopoldo
Van Alen, Sean
Paternain, Santiago
Calvo-Fullana, Miguel
Bazerque, Juan Andres
author_facet Agorio, Leopoldo
Van Alen, Sean
Paternain, Santiago
Calvo-Fullana, Miguel
Bazerque, Juan Andres
contents Constrained multi-agent reinforcement learning offers the framework to design scalable and almost surely feasible solutions for teams of agents operating in dynamic environments to carry out conflicting tasks. We address the challenges of multi-agent coordination through an unconventional formulation in which the dual variables are not driven to convergence but are free to cycle, enabling agents to adapt their policies dynamically based on real-time constraint satisfaction levels. The coordination relies on a light single-bit communication protocol over a network with stochastic connectivity. Using this gossiped information, agents update local estimates of the dual variables. Furthermore, we modify the local dual dynamics by introducing a contraction factor, which lets us use finite communication buffers and keep the estimation error bounded. Under this model, we provide theoretical guarantees of almost sure feasibility and corroborate them with numerical experiments in which a team of robots successfully patrols multiple regions, communicating under a time-varying ad-hoc network.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20462
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cooperative Multi-Agent Assignment over Stochastic Graphs via Constrained Reinforcement Learning
Agorio, Leopoldo
Van Alen, Sean
Paternain, Santiago
Calvo-Fullana, Miguel
Bazerque, Juan Andres
Systems and Control
Constrained multi-agent reinforcement learning offers the framework to design scalable and almost surely feasible solutions for teams of agents operating in dynamic environments to carry out conflicting tasks. We address the challenges of multi-agent coordination through an unconventional formulation in which the dual variables are not driven to convergence but are free to cycle, enabling agents to adapt their policies dynamically based on real-time constraint satisfaction levels. The coordination relies on a light single-bit communication protocol over a network with stochastic connectivity. Using this gossiped information, agents update local estimates of the dual variables. Furthermore, we modify the local dual dynamics by introducing a contraction factor, which lets us use finite communication buffers and keep the estimation error bounded. Under this model, we provide theoretical guarantees of almost sure feasibility and corroborate them with numerical experiments in which a team of robots successfully patrols multiple regions, communicating under a time-varying ad-hoc network.
title Cooperative Multi-Agent Assignment over Stochastic Graphs via Constrained Reinforcement Learning
topic Systems and Control
url https://arxiv.org/abs/2502.20462