A model problem for Mean Field Games on networks
Optimization and Control
2014-02-12 v1
Abstract
In [14], Gueant, Lasry and Lions considered the model problem ``What time does meeting start?'' as a prototype for a general class of optimization problems with a continuum of players, called Mean Field Games problems. In this paper we consider a similar model, but with the dynamics of the agents defined on a network. We discuss appropriate transition conditions at the vertices which give a well posed problem and we present some numerical results.
Cite
@article{arxiv.1402.2467,
title = {A model problem for Mean Field Games on networks},
author = {Fabio Camilli and Elisabetta Carlini and Claudio Marchi},
journal= {arXiv preprint arXiv:1402.2467},
year = {2014}
}