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arXiv 2012.05874cs.GTcs.AI
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相关游戏的后见之明与序列理性

Hindsight and Sequential Rationality of Correlated Play

University of Alberta(阿尔伯塔大学);Amii(阿尔伯塔机器智能研究所);Université de Montréal(蒙特利尔大学);Mila(米拉研究所);Massachusetts Institute of Technology(麻省理工学院);DeepMind(深度思维);Brown University(布朗大学)

Dustin Morrill, Ryan D'Orazio, Reca Sarfati, Marc Lanctot, James R. Wright, Amy Greenwald, Michael Bowling

摘要:

受最近在两人零和游戏解决和玩方面的成功的推动,人工智能在游戏方面的工作越来越多地集中在产生基于均衡的策略的算法上。然而,在一般和游戏或有两个以上参与者的游戏中,这种方法在产生有能力的参与者方面不如在两个参与者的零和游戏中有效。一个有吸引力的替代方案是考虑自适应算法,以确保事后的强大性能,相对于修改行为所能实现的性能。这种方法也导致了一个博弈论分析,但在相关的发挥,产生于联合学习动态,而不是在均衡的因素代理行为。我们发展和倡导这种后见之明的理性框架的学习一般顺序决策设置。为此,我们重新审视中介均衡和偏离类型的广泛形式的游戏,从而获得一个更完整的理解和解决过去的误解。我们提出了一组例子,说明了不同的优势和弱点,在文献中的每种类型的均衡,并证明,没有听话的概念,包括所有其他。这条线的调查最终在偏差和平衡类,对应于算法的反事实遗憾最小化(CFR)家庭的定义,将它们与所有其他文献。更详细地研究CFR进一步导致了相关游戏中理性的新递归定义,该定义以自然适用于事后评估的方式扩展了顺序理性。

英文摘要:

Driven by recent successes in two-player, zero-sum game solving and playing, artificial intelligence work on games has increasingly focused on algorithms that produce equilibrium-based strategies. However, this approach has been less effective at producing competent players in general-sum games or those with more than two players than in two-player, zero-sum games. An appealing alternative is to consider adaptive algorithms that ensure strong performance in hindsight relative to what could have been achieved with modified behavior. This approach also leads to a game-theoretic analysis, but in the correlated play that arises from joint learning dynamics rather than factored agent behavior at equilibrium. We develop and advocate for this hindsight rationality framing of learning in general sequential decision-making settings. To this end, we re-examine mediated equilibrium and deviation types in extensive-form games, thereby gaining a more complete understanding and resolving past misconceptions. We present a set of examples illustrating the distinct strengths and weaknesses of each type of equilibrium in the literature, and prove that no tractable concept subsumes all others. This line of inquiry culminates in the definition of the deviation and equilibrium classes that correspond to algorithms in the counterfactual regret minimization (CFR) family, relating them to all others in the literature. Examining CFR in greater detail further leads to a new recursive definition of rationality in correlated play that extends sequential rationality in a way that naturally applies to hindsight evaluation.

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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