标题： 在均场博弈模型中重构一个与状态无关的成本函数 显示英文标题

标题： Reconstructing a state-independent cost function in a mean-field game model

摘要： 在本简短的注释中，我们考虑一个均场博弈系统的逆问题，我们感兴趣的是从观测到的价值函数数据中重构与状态无关的运行成本函数。 我们提供了一个使用标准多重线性化技术的逆问题唯一性结果的初等证明。 我们工作的主要特点之一是我们坚持种群分布是一个概率测度，这是一个在一些现有的理论逆均场博弈文献中未被强制要求的要求。 显示英文摘要

摘要： In this short note, we consider an inverse problem to a mean-field games system where we are interested in reconstructing the state-independent running cost function from observed value-function data. We provide an elementary proof of a uniqueness result for the inverse problem using the standard multilinearization technique. One of the main features of our work is that we insist that the population distribution be a probability measure, a requirement that is not enforced in some of the existing literature on theoretical inverse mean-field games.