The turnpike property in contemporary macroeconomics asserts that if an economic planner
seeks to move an economy from one level of capital to another, then the most efficient path …

In this paper we investigate maximal L q-regularity for time-dependent viscous Hamilton–
Jacobi equations with unbounded right-hand side and superlinear growth in the gradient …

The classical Kuramoto model is studied in the setting of an infinite horizon mean field
game. The system is shown to exhibit both synchronization and phase transition …

Abstract Recently, R. Carmona, Q. Cormier, and M. Soner proposed a Mean Field Game
(MFG) version of the classical Kuramoto model, which describes synchronization …

In this note we prove the uniqueness of solutions to a class of mean field games systems
subject to possibly degenerate individual noise. Our results hold true for arbitrary long time …

We consider deterministic mean field games (MFGs) in all Euclidean space with a cost
functional continuous with respect to the distribution of the agents and attaining its minima in …

We consider second-order ergodic Mean-Field Games systems in the whole space RN with
coercive potential and aggregating nonlocal coupling, defined in terms of a Riesz interaction …

We investigate the long time behavior of weakly dissipative semilinear Hamilton–Jacobi–
Bellman (HJB) equations and the turnpike property for the corresponding stochastic control …

We address the problem of regularity of solutions $ u^ i (t, x^ 1,\ldots, x^ N) $ to a family of
semilinear parabolic systems of $ N $ equations, which describe closed-loop equilibria of …

We investigate the existence of solutions to viscous ergodic Mean Field Games systems in
bounded domains with Neumann boundary conditions and local, possibly aggregative …