论文标题
网络和衣柜平衡的一阶平均游戏
First-order mean-field games on networks and Wardrop equilibrium
论文作者
论文摘要
在这里，我们检查了与流动相关成本及其与固定平均场游戏（MFG）的联系的网络上的Wardrop平衡模型。在本文的第一部分中，我们介绍了网络上的Wardrop和一阶MFG模型。然后，我们展示了如何将MFG问题重新将其重新制定为一个守卫问题，并证明MFG解决方案是相应的衣柜问题的衣柜平衡。此外，我们证明，可以使用对关联的WARDROP问题的解决方案来恢复MFG问题的解决方案。最后，我们使用Wardrop旅行成本问题研究了成本属性和MFG的校准。我们描述了一种新颖的MFG校准方法。此外，我们表明，即使简单的旅行成本也会引起非蒙特酮MFG。
Here, we examine the Wardrop equilibrium model on networks with flow-dependent costs and its connection with stationary mean-field games (MFG). In the first part of this paper, we present the Wardrop and the first-order MFG models on networks. Then, we show how to reformulate the MFG problem into a Wardrop problem and prove that the MFG solution is the Wardrop equilibrium for the corresponding Wardrop problem. Moreover, we prove that the solution of the MFG problem can be recovered using the solution to the associated Wardrop problem. Finally, we study the cost properties and the calibration of MFG with Wardrop travel cost problems. We describe a novel approach to the calibration of MFGs. Further, we show that even simple travel costs can give rise to non-monotone MFGs.
