提出鲁棒神经MCCFR框架,解决深度强化学习博弈中的规模依赖风险。
Robust Deep Monte Carlo Counterfactual Regret Minimization: Addressing Theoretical Risks in Neural Fictitious Self-Play
- 设计自适应组件部署机制,按游戏规模选择性启用抗风险模块。
- 在Kuhn扑克上实现0.0628可被利用度,较经典方法提升60%。
- 揭示组件间协同效应,为复杂博弈系统提供可落地的部署指南。
蒙特卡洛反事实后悔最小化(MCCFR)已成为求解广泛形式博弈的核心算法,但其与深度神经网络结合后,在不同规模的游戏上表现出不同的可扩展性挑战。本文系统分析了神经MCCFR组件在不同游戏规模下的有效性差异,并提出一种自适应的组件选择框架。研究发现,非平稳目标分布偏移、动作支持崩溃、方差爆炸和冷启动偏差等理论风险具有显著的规模依赖性,需针对小规模与大规模游戏采取不同缓解策略。所提出的鲁棒神经MCCFR框架引入延迟更新的目标网络、均匀探索混合、方差感知训练目标及全面诊断监控。在Kuhn和Leduc扑克上的系统消融实验表明,组件有效性随规模变化,并存在关键交互作用。最优配置在Kuhn扑克上达到最终可被利用度0.0628,相比经典框架(0.156)提升60%;在更复杂的Leduc扑克上,通过有选择地使用组件,实现0.2386的可被利用度,优于经典框架的0.3703(提升23.5%),凸显组件选择的重要性。贡献包括:(1) 对神经MCCFR中风险的正式理论分析,(2) 具有收敛保证的合理缓解框架,(3) 多尺度实验验证揭示规模依赖的组件交互,(4) 复杂博弈场景下的实用部署指南。
原文摘要 · Abstract (English)
Monte Carlo Counterfactual Regret Minimization (MCCFR) has emerged as a cornerstone algorithm for solving extensive-form games, but its integration with deep neural networks introduces scale-dependent challenges that manifest differently across game complexities. This paper presents a comprehensive analysis of how neural MCCFR component effectiveness varies with game scale and proposes an adaptive framework for selective component deployment. We identify that theoretical risks such as nonstationary target distribution shifts, action support collapse, variance explosion, and warm-starting bias have scale-dependent manifestation patterns, requiring different mitigation strategies for small versus large games. Our proposed Robust Deep MCCFR framework incorporates target networks with delayed updates, uniform exploration mixing, variance-aware training objectives, and comprehensive diagnostic monitoring. Through systematic ablation studies on Kuhn and Leduc Poker, we demonstrate scale-dependent component effectiveness and identify critical component interactions. The best configuration achieves final exploitability of 0.0628 on Kuhn Poker, representing a 60% improvement over the classical framework (0.156). On the more complex Leduc Poker domain, selective component usage achieves exploitability of 0.2386, a 23.5% improvement over the classical framework (0.3703) and highlighting the importance of careful component selection over comprehensive mitigation. Our contributions include: (1) a formal theoretical analysis of risks in neural MCCFR, (2) a principled mitigation framework with convergence guarantees, (3) comprehensive multi-scale experimental validation revealing scale-dependent component interactions, and (4) practical guidelines for deployment in larger games.
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