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arXiv 2601.10367cs.GT
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2×2博弈中的逆向学习:从合成互动到交通模拟

Inverse Learning in $2\times2$ Games: From Synthetic Interactions to Traffic Simulation

TU Darmstadt(达姆施塔特工业大学)

Daniela Aguirre Salazar, Firas Moatemri, Tatiana Tatarenko

AI总结:

本文提出两种逆向博弈学习方法,用于2×2博弈和交通模拟,探讨了静态均衡与动态行为之间的平衡及模型的权衡。

摘要:

理解如何从有限行为数据中协调或竞争是建模交通、机器人和其他多智能体系统中战略互动的关键。在本工作中,我们研究了逆向博弈论学习的互补形式:(i) 专门针对2×2博弈的闭式相关均衡最大似然估计器(CE-ML);以及(ii) 通过随机响应过程捕捉长期适应动态的Logit最佳反应最大似然估计器(LBR-ML)。这些方法在静态均衡一致性和动态行为现实主义之间形成光谱。我们在合成“鸡敢”博弈和SUMO模拟的交通互动场景中评估了它们,比较了参数恢复和分布拟合。结果揭示了模型之间在可解释性、计算可处理性 和行为表达性方面的明显权衡。

英文摘要:

Understanding how agents coordinate or compete from limited behavioral data is central to modeling strategic interactions in traffic, robotics, and other multi-agent systems. In this work, we investigate the following complementary formulations of inverse game-theoretic learning: (i) a Closed-form Correlated Equilibrium Maximum-Likelihood estimator (CE-ML) specialized for $2\times2$ games; and (ii) a Logit Best Response Maximum-Likelihood estimator (LBR-ML) that captures long-run adaptation dynamics via stochastic response processes. Together, these approaches span the spectrum between static equilibrium consistency and dynamic behavioral realism. We evaluate them on synthetic "chicken-dare" games and traffic-interaction scenarios simulated in SUMO, comparing parameter recovery and distributional fit. Results reveal clear trade-offs between interpretability, computational tractability, and behavioral expressiveness across models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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