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;
2015-01-01
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 in questo prodotto:
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