论文标题
统一的统一平均野外游戏框架
A unifying framework for submodular mean field games
论文作者
论文摘要
我们为子模块平均野外游戏提供了一个抽象框架，并确定可验证的足够条件，可以在模型中证明和近似强的平均场平衡，因为数据可能与量度参数可能不连续，并且允许使用公共噪声。该设置足以包含质量不同的问题，例如用于离散时间有限太空链的平均现场游戏，单独控制和反映的扩散以及最佳时机的平均现场游戏。我们的分析取决于Tarski的固定点定理，以及概率和亚概率度量流的晶格的技术结果。
We provide an abstract framework for submodular mean field games and identify verifiable sufficient conditions that allow to prove existence and approximation of strong mean field equilibria in models where data may not be continuous with respect to the measure parameter and common noise is allowed. The setting is general enough to encompass qualitatively different problems, such as mean field games for discrete time finite space Markov chains, singularly controlled and reflected diffusions, and mean field games of optimal timing. Our analysis hinges on Tarski's fixed point theorem, along with technical results on lattices of flows of probability and sub-probability measures.
