A model problem for Mean Field Games on networks | Zendy

Fabio Camilli | Zendy; Elisabetta Carlini | Zendy; Claudio Marchi | Zendy

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A model problem for Mean Field Games on networks

Author(s) -

Fabio Camilli,

Elisabetta Carlini,

Claudio Marchi

Publication year - 2015

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2015.35.4173

Subject(s) - mean field theory , computer science , mathematical optimization , class (philosophy) , optimization problem , mathematics , mathematical economics , artificial intelligence , physics , quantum mechanics

In [14], Guéant, 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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