The Convergence Problem in Mean Field Games with Neumann Boundary Conditions
نویسندگان
چکیده
In this article, we study the convergence of Nash equilibria in an -player differential game towards optimal strategies mean field games when dynamic generic player includes a reflection process which guarantees invariance state space . The well-posedness master equation allows us to use its solution order construct finite-dimensional projections , will satisfy for almost surely, where is system.
منابع مشابه
Convergence of the Allen-cahn Equation with Neumann Boundary Conditions
We study a singular limit problem of the Allen-Cahn equation with Neumann boundary conditions and general initial data of uniformly bounded energy. We prove that the time-parametrized family of limit energy measures is Brakke’s mean curvature flow with a generalized right angle condition on the boundary.
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متن کاملErratum to "Convergence of the Allen-Cahn Equation with Neumann Boundary Conditions"
In this note we describe the results obtained by the paper (titled the same) which studies a singular limit problem of the Allen-Cahn equation with Neumann boundary conditions and general initial data of uniformly bounded energy. In it we prove that the time-parametrized family of limit energy measures is Brakke’s mean curvature flow with a generalized right angle condition on the boundary.
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ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2023
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/22m1479075