Scientific Publications
A notion of BSDE on the Wasserstein space and its applications to control problems and PDEs (2025) ArXiv Preprint https://arxiv.org/abs/2506.23177.
Three connected problems: principal with multiple agents in cooperation, Principal–Agent with Mckean–Vlasov dynamics and multitask Principal–Agent (2024) ArXiv Preprint https://arxiv.org/abs/2410.15818.
Bassou, L., Touzi, N., Mean Field Game of Mutual Holding with common noise (2024). SIAM Journal in Financial Mathematics, to appear
Stackelberg Mean Field Games: convergence and existence results to the problem of Principal with multiple Agents in competition (2023) ArXiv Preprint https://arxiv.org/abs/2309.00640.
Touzi, N., Guo, G., Mean field game of mutual holding with defaultable agents, and systemic risk (2023). SIAM Journal on Control and Optimization, to appear
Non--regular McKean--Vlasov equations and calibration problem in local stochastic volatility models (2022). Mathematics of Operations Research, to appear.
Touzi, N., Mean Field Game of Mutual Holding (2021). The Annals of Applied Probability.
Possamaï, D., Tan, X., McKean-Vlasov optimal control: limit theory and equivalence between different formulations (2020). Mathematics of Operations Research.
Possamaï, D., Tan, X., McKean-Vlasov optimal control: the dynamic programming principle (2020). The Annals of Probability.
PhD Thesis
Some results on the McKean–Vlasov optimal control and mean field games: Limit theorems, dynamic programming principle and numerical approximations https://hal.archives-ouvertes.fr/tel-03142198/.