Before revision: We analyze the solution regularity and discrete-time approximations of extended mean field control (extended MFC) problems, which seek optimal control of McKean-Vlasov dynamics whose coefficients involve mean field interactions both on the state and actions, and where objectives are optimized over open-loop strategies.
After revision: We consider extended mean field control (extended MFC) problems, which seek optimal control of McKean-Vlasov dynamics whose coefficients involve mean field interactions both on the state and actions, and where objectives are optimized over open-loop strategies.