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arXiv · 1402.2467

A model problem for Mean Field Games on networks

Fabio Camilli·Elisabetta Carlini·Claudio Marchi
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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.

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Fabio Camilli, Elisabetta Carlini, Claudio Marchi. 2014-02-11. A model problem for Mean Field Games on networks. https://arxiv.org/abs/1402.2467

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