标题： 与包含低阶项的$p$-拉普拉斯型方程相关的拔河游戏 显示英文标题

标题： Tug-of-war games related to $p$-Laplace type equations with lower order terms

摘要： 在本文中，我们研究了一类包含每回合恒定收益贴现率的拔河游戏。相关的模型问题为带有零阶项的$p$-Laplace 型偏微分方程。我们建立了相应博弈值函数的存在性、唯一性和正则性结果。此外，我们通过分析底层游戏来探讨模型PDE解的性质。 显示英文摘要

摘要： In this paper, we investigate a class of tug-of-war games that incorporate a constant payoff discount rate at each turn. The associated model problems are $p$-Laplace type partial differential equations with zeroth-order terms. We establish existence, uniqueness, and regularity results for the corresponding game value functions. Furthermore, we explore properties of the solutions to the model PDEs, informed by the analysis of the underlying games.