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Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity

Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity

In this manuscript we propose a structural condition on nonseparable Hamiltonians, which we term displacement monotonicity condition, to study second-order mean field games master equations. A rate of dissipation of a bilinear form is brought to bear a global (in time) well-posedness theory, based on a priori uniform Lipschitz estimates …