33 citations · 120 across the 40 of their papers we have counts for
6 papers · 1 filter
Lipschitz regularity for viscous Hamilton-Jacobi equations with terms
Marco Cirant, Alessandro Goffi
We provide Lipschitz regularity for solutions to viscous time-dependent Hamilton-Jacobi equations with right-hand side belonging to Lebesgue spaces. Our approach is based on a dual…
Remarks on Nash equilibria in mean field game models with a major player
Pierre Cardaliaguet, Marco Cirant, Alessio Porretta
For a mean field game model with a major and infinite minor players, we characterize a notion of Nash equilibrium via a system of so-called master equations, namely a system of non…
On the existence and uniqueness of solutions to time-dependent fractional MFG
Marco Cirant, Alessandro Goffi
We establish existence and uniqueness of solutions to evolutive fractional Mean Field Game systems with regularizing coupling, for any order of the fractional Laplacian …
Short time existence for a general backward-forward parabolic system arising from Mean-Field Games
Marco Cirant, Roberto Gianni, Paola Mannucci
We study the local in time existence of a regular solution of a nonlinear parabolic backward-forward system arising from the theory of Mean-Field Games (briefly MFG). The proof is…
The variational structure and time-periodic solutions for mean-field games systems
Marco Cirant, Levon Nurbekyan
Here, we observe that mean-field game (MFG) systems admit a two-player infinite-dimensional general-sum differential game formulation. We show that particular regimes of this game…
Ground states and concentration of mass in stationary Mean Field Games with superlinear Hamiltonians
Annalisa Cesaroni, Marco Cirant
In this paper we provide the existence of classical solutions to stationary mean field game systems in the whole space , with coercive potential, aggregating local co…