arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2103.07927cs.AIcs.GTcs.MA
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在开放式游戏中为学习建模行为多样性

Modelling Behavioural Diversity for Learning in Open-Ended Games

Huawei U.K.(华为英国);Imperial College London(帝国理工学院);University College London(伦敦大学学院)

Nicolas Perez Nieves, Yaodong Yang, Oliver Slumbers, David Henry Mguni, Ying Wen, Jun Wang

摘要:

促进行为多样性对于解决存在战略周期的非传递动态博弈至关重要,并且没有一致的赢家(例如,石头剪刀布)。然而,缺乏严格的处理定义多样性和构建多样性意识的学习动态。在这项工作中,我们提供了一个几何解释的游戏中的行为多样性,并介绍了一种新的多样性度量的基础上决定点过程(DPP)。通过将多样性度量纳入最佳反应动力学,我们开发了不同的虚拟游戏和不同的政策空间的反应甲骨文解决正常形式的游戏和开放式游戏。我们证明了不同的最佳对策的唯一性和收敛性,我们的算法对两个玩家的游戏。重要的是,我们表明,最大限度地提高基于DPP的多样性度量保证扩大gamescape-凸多面体跨越代理的混合策略。为了验证我们的多样性感知求解器,我们对数十个表现出强非传递性的游戏进行了测试。结果表明,我们的方法至少实现了相同的,在大多数游戏中,较低的可利用性比PSRO求解器找到有效的和多样化的策略。

英文摘要:

Promoting behavioural diversity is critical for solving games with non-transitive dynamics where strategic cycles exist, and there is no consistent winner (e.g., Rock-Paper-Scissors). Yet, there is a lack of rigorous treatment for defining diversity and constructing diversity-aware learning dynamics. In this work, we offer a geometric interpretation of behavioural diversity in games and introduce a novel diversity metric based on determinantal point processes (DPP). By incorporating the diversity metric into best-response dynamics, we develop diverse fictitious play and diverse policy-space response oracle for solving normal-form games and open-ended games. We prove the uniqueness of the diverse best response and the convergence of our algorithms on two-player games. Importantly, we show that maximising the DPP-based diversity metric guarantees to enlarge the gamescape -- convex polytopes spanned by agents' mixtures of strategies. To validate our diversity-aware solvers, we test on tens of games that show strong non-transitivity. Results suggest that our methods achieve at least the same, and in most games, lower exploitability than PSRO solvers by finding effective and diverse strategies.

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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