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A model problem for Mean Field Games on networks

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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Submitted on : Tuesday, December 23, 2014 - 12:05:12 PM
Last modification on : Wednesday, November 3, 2021 - 2:18:09 PM
Long-term archiving on: : Tuesday, March 24, 2015 - 10:16:26 AM


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  • HAL Id : hal-01098206, version 1
  • ARXIV : 1402.2467



Fabio Camilli, Elisabetta Carlini, Claudio Marchi. A model problem for Mean Field Games on networks. 2014. ⟨hal-01098206⟩



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