Seminario di Equazioni Differenziali e Applicazioni: “Some elementary examples in MFG theory”

Martedì 11 Aprile 2017, ore 12:00 - Aula 2BC30 - Diogo Gomes


Martedì 11 Aprile 2017 alle ore 12:00 in Aula 2BC30, Diogo Gomes (KAUST, Arabia Saudita) terrà un seminario dal titolo “Some elementary examples in MFG theory”.

In this talk, we present a number of elementary examples in MFGs that illustrate distinct qualitative behavior. First, we examine the connection between one-dimensional mean-field games and the theory of conservation laws. Next, we consider forward-forward MFGs and discuss the convergence of parabolic mean-field games. We describe some new connections between mean-field games and certain wave-type equations and systems of conservation laws arising in elastodynamics. Finally, we examine mean-field games with congestion and show the existence of travelling-wave solutions and derive a new variational formulation for stationary problems.

Rif. Int. M. Bardi, C. Marchi, M. Cirant.

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