A new displacement quasi-monotonicity condition on the cost functional is shown to imply the β-monotonicity that guarantees unique solutions of mean field game FBSDEs.
Ahuja , Wellposedness of mean field games with common noise under a w eak monotonicity condition
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On Mean Field Monotonicity Conditions from Control Theoretical Perspective
A new displacement quasi-monotonicity condition on the cost functional is shown to imply the β-monotonicity that guarantees unique solutions of mean field game FBSDEs.