Outputs (2)

On monotonicity conditions for mean field games (2023)
Journal Article
Graber, P. J., & Mészáros, A. R. (2023). On monotonicity conditions for mean field games. Journal of Functional Analysis, 285(9), Article 110095. https://doi.org/10.1016/j.jfa.2023.110095

In this paper we propose two new monotonicity conditions that could serve as sufficient conditions for uniqueness of Nash equilibria in mean field games. In this study we aim for unconditional uniqueness that is independent of the length of the time... Read More about On monotonicity conditions for mean field games.

Well-posedness of mean field games master equations involving non-separable local Hamiltonians (2023)
Journal Article
Ambrose, D. M., & Mészáros, A. R. (2023). Well-posedness of mean field games master equations involving non-separable local Hamiltonians. Transactions of the American Mathematical Society, 376(4), 2481-2523. https://doi.org/10.1090/tran/8760

In this paper we construct short time classical solutions to a class of master equations in the presence of non-degenerate individual noise arising in the theory of mean field games. The considered Hamiltonians are non-separable and local functions o... Read More about Well-posedness of mean field games master equations involving non-separable local Hamiltonians.