On classical solutions to the mean field game system of controls

DOI10.1080/03605302.2021.1985518zbMath1492.35353arXiv1904.11292OpenAlexW2942252821MaRDI QIDQ5067720

Ziad Kobeissi

Publication date: 4 April 2022

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11292

zbMATH Keywords

mean field gamesinteractions through the law of states and controlssystem of coupled PDEs

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Computational methods for problems pertaining to game theory, economics, and finance (91-08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93) Classical solutions to PDEs (35A09) Mean field games and control (49N80) Mean field games (aspects of game theory) (91A16) PDEs in connection with mean field game theory (35Q89)

Related Items (9)

Mean field games with monotonous interactions through the law of states and controls of the agents ⋮ Dimension reduction techniques in deterministic mean field games ⋮ Mean field games of controls: finite difference approximations ⋮ Convergence of Large Population Games to Mean Field Games with Interaction Through the Controls ⋮ Linear-quadratic mean field games of controls with non-monotone data ⋮ Large population games with interactions through controls and common noise: convergence results and equivalence between open-loop and closed-loop controls ⋮ Mean field games of controls: on the convergence of Nash equilibria ⋮ On quasi-stationary Mean Field Games of Controls ⋮ Mean field games of controls: propagation of monotonicities

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