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math.AP2023
A Mean Field Game approach to Large Deviations for empirical measures under common noise
Nikiforos Mimikos-Stamatopoulos
We present a Mean Field Game approach to obtain the rate function for the empirical measure of interacting particles under McKean-Vlasov dynamics. Although the result is well known…
math.AP2022
Regularity and long time behavior of one-dimensional first-order mean field games and the planning problem
Nikiforos Mimikos-Stamatopoulos, Sebastian Munoz
We study the regularity and long time behavior of the one-dimensional, local, first-order mean field games system and the planning problem, assuming a Hamiltonian of superlinear gr…
math.AP2021
Weak and renormalized solutions to a hypoelliptic Mean Field Games system
Nikiforos Mimikos-Stamatopoulos
We establish the existence and uniqueness of weak and renormalized solutions to a degenerate, hypoelliptic Mean Field Games system with local coupling. An important step is to obta…