Accepted Paper

Inserted: 11 mar 2024
Last Updated: 7 oct 2025

Journal: Forum Math. Sigma
Year: 2025

Abstract:

In this paper we unveil novel monotonicity conditions applicable for Mean Field Games through the exploration of finite dimensional canonical transformations. Our findings contribute to establishing new global well-posedness results for the associated master equations, also in the case of potentially degenerate idiosyncratic noise. Additionally, we show that recent advancements in global well-posedness results, specifically those related to displacement semi-monotone and anti-monotone data, can be easily obtained as a consequence of our main results.