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arXiv · 2101.12362

Mean Field Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity

Wilfrid Gangbo·Alpár R. Mészáros·Chenchen Mou·Jianfeng Zhang
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Abstract

In this manuscript, we propose a structural condition on non-separable 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 on the solution in the measure variable. Displacement monotonicity being sometimes in dichotomy with the widely used Lasry-Lions monotonicity condition, the novelties of this work persist even when restricted to separable Hamiltonians.

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BibTeXRIS

Wilfrid Gangbo, Alpár R. Mészáros, Chenchen Mou, Jianfeng Zhang. 2021-01-29. Mean Field Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity. https://arxiv.org/abs/2101.12362

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