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- W4225763485 abstract "We establish the existence and uniqueness of a solution to the master equation for a mean field game of controls with absorption. The mean field game arises as a continuum limit of a dynamic game of exhaustible resources modeling Cournot competition between producers. The proof relies on an analysis of a forward-backward system of nonlocal Hamilton-Jacobi/Fokker-Planck equations with Dirichlet boundary conditions. In particular, we establish new a priori estimates to prove that solutions are differentiable with respect to the initial measure." @default.
- W4225763485 created "2022-05-05" @default.
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- W4225763485 date "2021-11-12" @default.
- W4225763485 modified "2023-09-27" @default.
- W4225763485 title "Master Equation for Cournot Mean Field Games of Control with Absorption" @default.
- W4225763485 doi "https://doi.org/10.48550/arxiv.2111.07020" @default.
- W4225763485 hasPublicationYear "2021" @default.
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