In this paper, we propose and study the utilization of the Dirichlet-to-Neumann map to
uniquely identify the discount functions and cost function in a stationary mean field game …

In this paper, we are concerned with the inverse problem of determining anomalies in the
state space associated with the stationary mean field game (MFG) system. We establish …

In this paper, we present a new generalized Hughes model designed to intelligently depict
pedestrian congestion dynamics, allowing pedestrian groups to either navigate through or …

Here, we establish the existence of weak solutions to a wide class of time-dependent
monotone mean-field games (MFGs). These MFGs are given as a system of degenerate …

This paper investigates the simultaneous reconstruction of the running cost function and the
internal topological structure within the mean-field games (MFG) system utilizing partial …

The formulation of mean field games (MFG) typically requires continuous differentiability of
the Hamiltonian in order to determine the advective term in the Kolmogorov–Fokker–Planck …

In this paper, we study hypoelliptic mean-field games (MFG) that arise in stochastic control
problems of degenerate diffusions. Here, we consider MFGs with quadratic Hamiltonians …

Here, we study the existence and the convergence of solutions for the vanishing discount
MFG problem with a quadratic Hamiltonian. We give conditions under which the discounted …

This paper investigates stationary mean-field games (MFGs) on the torus with Lipschitz non-
homogeneous diffusion and logarithmic-like couplings. The primary objective is to …

This manuscript discusses planning problems for first-and second-order one-dimensional
mean-field games (MFGs). These games are comprised of a Hamilton-Jacobi equation …