论文标题
带有路径偏好和速度控件的原点对目的地网络流量：一种平均现场游戏的方法
Origin-to-destination network flow with path preferences and velocity controls: a mean field game-like approach
论文作者
论文摘要
在本文中，我们考虑了一种平均现场方法，用于建模代理在运输网络上流动。特别是，除了平均野外游戏的标准框架外，通过代理和成本依赖质量分布的控制动力学，我们还将获得的路径偏好动态视为所谓的噪声最佳响应动力学的概括。这样的偏好动态表示，代理商选择了他们的路径，可以访问有关网络拥塞状态的全球信息，并基于对先前代理商的决定的观察。我们证明，在合适的一组时变质量分布上获得的平均场平衡的存在，该平均值作为图的固定点，在网络中通过边缘定义了边缘。我们还解决了可接受的控件集适当界限的情况，具体取决于边缘本身的质量分布。
In this paper we consider a mean field approach to modeling the agents flow over a transportation network. In particular, beside a standard framework of mean field games, with controlled dynamics by the agents and costs mass-distribution dependent, we also consider a path preferences dynamics obtained as a generalization of the so-called noisy best response dynamics. Such a preferences dynamics says the agents choose their path having access to global information about the network congestion state and based on the observation of the decision of the agents that have preceded. We prove the existence of a mean field equilibrium obtained as a fixed point of a map over a suitable set of time-varying mass-distributions, defined edge by edge in the network. We also address the case where the admissible set of controls is suitably bounded depending on the mass-distribution on the edge itself.
