Byzantine Robust Cooperative Multi-Agent Reinforcement Learning as a Bayesian Game

Fuente: arXiv
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Main Authors: Li, Simin, Guo, Jun, Xiu, Jingqiao, Xu, Ruixiao, Yu, Xin, Wang, Jiakai, Liu, Aishan, Yang, Yaodong, Liu, Xianglong
Format: Preprint
Published: 2023
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_version_ 1866913392965451776
author Li, Simin
Guo, Jun
Xiu, Jingqiao
Xu, Ruixiao
Yu, Xin
Wang, Jiakai
Liu, Aishan
Yang, Yaodong
Liu, Xianglong
author_facet Li, Simin
Guo, Jun
Xiu, Jingqiao
Xu, Ruixiao
Yu, Xin
Wang, Jiakai
Liu, Aishan
Yang, Yaodong
Liu, Xianglong
contents In this study, we explore the robustness of cooperative multi-agent reinforcement learning (c-MARL) against Byzantine failures, where any agent can enact arbitrary, worst-case actions due to malfunction or adversarial attack. To address the uncertainty that any agent can be adversarial, we propose a Bayesian Adversarial Robust Dec-POMDP (BARDec-POMDP) framework, which views Byzantine adversaries as nature-dictated types, represented by a separate transition. This allows agents to learn policies grounded on their posterior beliefs about the type of other agents, fostering collaboration with identified allies and minimizing vulnerability to adversarial manipulation. We define the optimal solution to the BARDec-POMDP as an ex post robust Bayesian Markov perfect equilibrium, which we proof to exist and weakly dominates the equilibrium of previous robust MARL approaches. To realize this equilibrium, we put forward a two-timescale actor-critic algorithm with almost sure convergence under specific conditions. Experimentation on matrix games, level-based foraging and StarCraft II indicate that, even under worst-case perturbations, our method successfully acquires intricate micromanagement skills and adaptively aligns with allies, demonstrating resilience against non-oblivious adversaries, random allies, observation-based attacks, and transfer-based attacks.
format Preprint
id arxiv_https___arxiv_org_abs_2305_12872
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Byzantine Robust Cooperative Multi-Agent Reinforcement Learning as a Bayesian Game
Li, Simin
Guo, Jun
Xiu, Jingqiao
Xu, Ruixiao
Yu, Xin
Wang, Jiakai
Liu, Aishan
Yang, Yaodong
Liu, Xianglong
Computer Science and Game Theory
In this study, we explore the robustness of cooperative multi-agent reinforcement learning (c-MARL) against Byzantine failures, where any agent can enact arbitrary, worst-case actions due to malfunction or adversarial attack. To address the uncertainty that any agent can be adversarial, we propose a Bayesian Adversarial Robust Dec-POMDP (BARDec-POMDP) framework, which views Byzantine adversaries as nature-dictated types, represented by a separate transition. This allows agents to learn policies grounded on their posterior beliefs about the type of other agents, fostering collaboration with identified allies and minimizing vulnerability to adversarial manipulation. We define the optimal solution to the BARDec-POMDP as an ex post robust Bayesian Markov perfect equilibrium, which we proof to exist and weakly dominates the equilibrium of previous robust MARL approaches. To realize this equilibrium, we put forward a two-timescale actor-critic algorithm with almost sure convergence under specific conditions. Experimentation on matrix games, level-based foraging and StarCraft II indicate that, even under worst-case perturbations, our method successfully acquires intricate micromanagement skills and adaptively aligns with allies, demonstrating resilience against non-oblivious adversaries, random allies, observation-based attacks, and transfer-based attacks.
title Byzantine Robust Cooperative Multi-Agent Reinforcement Learning as a Bayesian Game
topic Computer Science and Game Theory
url https://arxiv.org/abs/2305.12872