Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity
(2022)
Journal Article
Gangbo, W., Mészáros, A. R., Mou, C., & Zhang, J. (2022). Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity. Annals of Probability, 50(6), 2178-2217. https://doi.org/10.1214/22-aop1580
Outputs (3)
A variational approach to first order kinetic Mean Field Games with local couplings (2022)
Journal Article
Griffin-Pickering, M., & Mészáros, A. R. (2022). A variational approach to first order kinetic Mean Field Games with local couplings. Communications in Partial Differential Equations, 47(10), 1945-2022. https://doi.org/10.1080/03605302.2022.2101003First order kinetic mean field games formally describe the Nash equilibria of deterministic differential games where agents control their acceleration, asymptotically in the limit as the number of agents tends to infinity. The known results for the w... Read More about A variational approach to first order kinetic Mean Field Games with local couplings.
Global Well‐Posedness of Master Equations for Deterministic Displacement Convex Potential Mean Field Games (2022)
Journal Article
Gangbo, W., & Mészáros, A. R. (2022). Global Well‐Posedness of Master Equations for Deterministic Displacement Convex Potential Mean Field Games. Communications on Pure and Applied Mathematics, 75(12), 2685-2801. https://doi.org/10.1002/cpa.22069This manuscript constructs global in time solutions to master equations for potential mean field games. The study concerns a class of Lagrangians and initial data functions that are displacement convex, and so this property may be in dichotomy with t... Read More about Global Well‐Posedness of Master Equations for Deterministic Displacement Convex Potential Mean Field Games.