70 citations · 169 across the 27 of their papers we have counts for
3 papers · 1 filter
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…
Blow-up and regularization rates, loss and recovery of boundary conditions for the superquadratic viscous Hamilton-Jacobi equation
Alessio Porretta, Philippe Souplet
We study the qualitative properties of the unique global viscosity solution of the superquadratic diffusive Hamilton-Jacobi equation with (generalized) homogeneous Dirichlet condit…
A variational approach to the mean field planning problem
Carlo Orrieri, Alessio Porretta, Giuseppe Savaré
We investigate a first-order mean field planning problem of the form \begin{equation} \left\lbrace\begin{aligned} -\partial_t u + H(x,Du) &= f(x,m) &&\text{in } (0,T)\times \mathbb…