Under an extended displacement convexity condition, classical solutions to the HJB and master equations for generalized mean field control and potential mean field games of controls exist globally, including in the degenerate no-individual-noise case.
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A particle system approach towards the global well-posedness of master equations for potential mean field games of control
Under an extended displacement convexity condition, classical solutions to the HJB and master equations for generalized mean field control and potential mean field games of controls exist globally, including in the degenerate no-individual-noise case.