3 papers
math.AP2024
A second-order Mean Field Games model with controlled diffusion
Vincenzo Ignazio, Michele Ricciardi
Mean Field Games (MFG) theory describes strategic interactions in differential games with a large number of small and indistinguishable players. Traditionally, the players' control…
math.OC2024
Mean Field Games Incorporating Carryover Effects: Optimizing Advertising Models
Michele Ricciardi, Mauro Rosestolato
We consider a class of optimal control problems that arise in connection with optimal advertising under uncertainty. Two main features appear in the model: a delay in the control v…
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…