A new min-max robust formulation for mean field control and variational mean field games is introduced, with existence, uniqueness, and a stochastic maximum principle established under convexity-concavity assumptions.
Weaksolutionsforpotentialmeanfield games of controls.Nonlinear Differential Equations and Applications NoDEA, 28(5):1–34, 2021
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Robust mean field control: stochastic maximum principle and variational mean field games
A new min-max robust formulation for mean field control and variational mean field games is introduced, with existence, uniqueness, and a stochastic maximum principle established under convexity-concavity assumptions.