3 papers
math.AP2026
Solving Mean-Field Games with Monotonicity Methods in Banach Spaces
Rita Ferreira, Diogo Gomes, Melih Ucer
This paper develops a unified framework for proving the existence of solutions to stationary first-order mean-field games (MFGs) based on the theory of monotone operators in Banach…
math.AP2025
An introduction to monotonicity methods in mean-field games
Rita Ferreira, Diogo Gomes, Teruo Tada
This chapter examines monotonicity techniques in the theory of mean-field games(MFGs). Originally, monotonicity ideas were used to establish the uniqueness of solutions for MFGs. L…
math.AP2025
Weak-strong uniqueness for solutions to mean-field games
Rita Ferreira, Diogo Gomes, Vardan Voskanyan
This paper addresses the crucial question of solution uniqueness in stationary first-order Mean-Field Games (MFGs). Despite well-established existence results, establishing uniquen…