We introduce a class of fully nonlinear mean field games posed in. We justify that they are
related to controlled local or nonlocal diffusions, and more generally in our setting, to a new …

There are few results on mean field game (MFG) systems where the PDEs are either fully
nonlinear or have degenerate diffusions. This paper introduces a problem that combines …

We study a mean field game model of Cournot/Bertrand competition between firms. Chan
and Sircar introduced such a mean field model of competition in natural resource extraction …

Mean Field Games (MFG) theory describes strategic interactions in differential games with a
large number of small and indistinguishable players. Traditionally, the players' control …

We prove that minimizers of the $ L^{d} $-norm of the Hessian in the unit ball of $\mathbb
{R}^ d $ are locally of class $ C^{1,\alpha} $. Our findings extend previous results on …

To represent the interaction of N rational competitors traditionally, a coupled system of N
differential equations must be solved simultaneously, yielding the equilibrium strategy for …

We study a Hessian-dependent functional driven by a fully nonlinear operator. The
associated Euler-Lagrange equation is a fully nonlinear mean-field game with free …

In this article, we study a class of fully nonlinear double-divergence systems with free
boundaries associated with a minimization problem. The variational structure of Hessian …

This work examines the local regularity of some PDEs and deals with some of the
developments of a fairly recent field of Mathematics, namely transmission problems. After an …

We study a Hessian-dependent functional driven by a fully nonlinear operator, which
associated Euler-Lagrange equation is a fully nonlinear mean-field game with free …