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.
A model problem for Mean Field Games on networks / Camilli, Fabio; Carlini, Elisabetta; Claudio, Marchi. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 35:(2015), pp. 4173-4192. [10.3934/dcds.2015.35.4173]
A model problem for Mean Field Games on networks
CAMILLI, FABIO;CARLINI, Elisabetta;
2015
Abstract
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.| File | Dimensione | Formato | |
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