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.

A model problem for mean field games on networks

MARCHI, CLAUDIO
2015

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3185577
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