有限地平线零和随机博弈中的恒定回报特性

Thomas Ragel, Bruno Ziliotto
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引用次数: 0

摘要

本文研究了有限零和随机博弈,并证明当博弈持续时间足够长时,存在一对近似最优的策略,使得博弈中任何一点的期望平均报酬都保持在接近值的水平。这一性质被称为 "不变报酬性质"(the/textit{constant payoff property}),以前只在吸收博弈和贴现随机博弈中被证实。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Constant Payoff Property in Zero-Sum Stochastic Games with a Finite Horizon
This paper examines finite zero-sum stochastic games and demonstrates that when the game's duration is sufficiently long, there exists a pair of approximately optimal strategies such that the expected average payoff at any point in the game remains close to the value. This property, known as the \textit{constant payoff property}, was previously established only for absorbing games and discounted stochastic games.
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