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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…