Geodesic
Hidden monotonicity and canonical transformations for mean field games and master equations
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e182

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we unveil novel monotonicity conditions applicable to 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. 
Bansil, Mohit; Mészáros, Alpár R. Hidden monotonicity and canonical transformations for mean field games and master equations. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e182. doi: 10.1017/fms.2025.10130
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