arXiv:2605.11880cs.LGcs.MA2026-05

为多智能体强化学习设计自适应时序差分衰减因子,提升价值估计精度。

Adaptive TD-Lambda for Cooperative Multi-agent Reinforcement Learning

论文配图:Adaptive TD-Lambda for Cooperative Multi-agent Reinforcement Learning
图 1 · 摘自论文原文
  • 用双缓冲区估计策略密度比,解决多智能体策略分布难计算问题。
  • 在SMAC和Gfootball上表现优于固定λ值的基线方法,提升训练稳定性。
  • 适用于需精准价值评估的多智能体协作场景,如游戏博弈与团队控制。

基于值函数的多智能体强化学习(MARL)算法或基于演员-评论家(AC-based)的算法中,时序差分(TD)方法通过动态规划融合蒙特卡洛模拟与Q函数自举,有效缓解了价值估计中的偏差-方差权衡问题。近期工作将自适应λ值与单智能体环境中的策略分布关联,但在多智能体场景中,由于联合动作空间庞大且转移数据有限,策略分布无法通过统计方式计算。为此,本文采用参数化无似然密度比估计器,利用两个不同大小的回放缓冲区分别存储过去与当前策略的历史轨迹,以表征其数据分布。基于该估计器,为状态-动作对分配基于当前策略平稳分布似然的自适应TD(λ)值,提出 extbf{ATD(λ)}方法。在SMAC基准与Gfootball Academy场景中,应用于QMIX(值函数型)与MAPPO(AC型)基线模型,实验表明其性能持续优于或相当优于使用固定λ值的基线方法。

原文摘要 · Abstract (English)

TD($λ$) in value-based MARL algorithms or the Temporal Difference critic learning in Actor-Critic-based (AC-based) algorithms synergistically integrate elements from Monte-Carlo simulation and Q function bootstrapping via dynamic programming, which effectively addresses the inherent bias-variance trade-off in value estimation. Based on that, some recent works link the adaptive $λ$ value to the policy distribution in the single-agent reinforcement learning area. However, because of the large joint action space from multiple number of agents, and the limited transition data in Multi-agent Reinforcement Learning, the policy distribution is infeasible to be calculated statistically. To solve the policy distribution calculation problem in MARL settings, we employ a parametric likelihood-free density ratio estimator with two replay buffers instead of calculating statistically. The two replay buffers of different sizes store the historical trajectories that represent the data distribution of the past and current policies correspondingly. Based on the estimator, we assign Adaptive TD($λ$), \textbf{ATD($λ$)}, values to state-action pairs based on their likelihood under the stationary distribution of the current policy. We apply the proposed method on two competitive baseline methods, QMIX for value-based algorithms, and MAPPO for AC-based algorithms, over SMAC benchmarks and Gfootball academy scenarios, and demonstrate consistently competitive or superior performance compared to other baseline approaches with static $λ$ values.

多智能体强化学习值函数

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