3 papers
math.NA2026
Deep numerical schemes for systems of Ergodic BSDEs with applications to regime-switching forward utilities
Guillaume Broux-Quemerais, Sarah Kaakai, Anis Matoussi +1
In this paper, we introduce two neural-network-based numerical schemes for solving systems of coupled ergodic Backward Stochastic Differential Equations (eBSDEs), motivated by the…
math.OC2026
Law-invariant BSDEs and dynamic risk measures: new characterizations
Zakaria Bensaid, Roxana Dumitrescu, Anis Matoussi +1
We provide a new characterization of law-invariant backward stochastic differential equations (i.e. BSDEs) with quadratic growth. This answers the open question raised in Xu--Xu--Z…
math.OC2026
Optimal investment and consumption under forward utilities with relative performance concerns
Guillaume Broux-Quemerais, Anis Matoussi, Zhou Chao
We study a n-player and mean-field portfolio optimization problem under relative performance concerns with non-zero volatility, for wealth and consumption. The consistency assumpti…