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math.AP2023
Ergodic Problems for Second-Order Mean Field Games with State Constraints
Alessio Porretta, Michele Ricciardi
We study an ergodic mean field game problem with state constraints. In our model the agents are affected by idiosyncratic noise and use a (singular) feedback control to prevent the…
math.AP2023
Time Dependent First-Order Mean Field Games with Neumann Boundary Conditions
Diogo A. Gomes, Michele Ricciardi
The primary objective of this paper is to understand first-order, time-dependent mean-field games with Neumann boundary conditions, a question that remains under-explored in the li…
math.AP2023
Forward-Forward Mean Field Games in mathematical modeling with application to opinion formation and voting models
Adriano Festa, Simone Gottlich, Michele Ricciardi
While the general theory for the terminal-initial value problem in mean-field games is widely used in many models of applied mathematics, the modeling potential of the correspondin…