We prove an asymptotic Lipschitz estimate for value functions of tug-of-war games with varying probabilities defined in Ω ⊂ ℝⁿ. The method of the proof is based on a game-theoretic idea to estimate the value of a related game defined in Ω ×Ω via couplings.

中文翻译：

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概率变化的拔河比赛的渐近Lipschitz正则性

我们证明了一个渐近李氏估计的拔河战争游戏与Ω⊂定义不同的概率值的函数ℝ ^ñ。证明的方法是基于博弈论的思想，通过耦合来估计以Ω×Ω定义的相关博弈的值。