We address the numerical approximation of mean field games with local couplings. For
power-like Hamiltonians, we consider a stationary system and also a system involving …

Here, we consider numerical methods for stationary mean-field games (MFG) and
investigate two classes of algorithms. The first one is a gradient-flow method based on the …

Multi-population mean-field game is a critical subclass of mean-field games (MFGs). It is a
theoretically feasible multi-agent model for simulating and analyzing the game between …

Multi-population mean-field game is a critical subclass of mean-field games (MFGs). It is a
theoretically feasible multi-agent model for simulating and analyzing the game between …

We approximate the homogenization of fully nonlinear, convex, uniformly elliptic Partial
Differential Equations in the periodic setting, using a variational formula for the optimal …

© 2018 Society for Industrial and Applied Mathematics. We address the numerical
approximation of mean field games with local couplings. For power-like Hamiltonians, we …

This dissertation studies several applied mathematical problems which broadly fall under
the modelling framework of nonlinear elliptic partial differential equations (PDEs). Solutions …