Stationary Mean Field Games systems defined on networks
Analysis of PDEs
2015-05-20 v1 Optimization and Control
Abstract
We consider a stationary Mean Field Games system defined on a network. In this framework, the transition conditions at the vertices play a crucial role: the ones here considered are based on the optimal control interpretation of the problem. We prove separately the well-posedness for each of the two equations composing the system. Finally, we prove existence and uniqueness of the solution of the Mean Field Games system.
Keywords
Cite
@article{arxiv.1505.04953,
title = {Stationary Mean Field Games systems defined on networks},
author = {Fabio Camilli and Claudio Marchi},
journal= {arXiv preprint arXiv:1505.04953},
year = {2015}
}