Special Session 16: Recent Development of Stochastic Optimal Control and Differential Games

Optimal investment and consumption under forward performance criteria with relative concerns
Matoussi Anis
Risk and Insurance Institute, Le Mans University
France
Co-Author(s):    
Abstract:
My talk will focus on the presentation of some theoretical and numerical tools for adaptive decision-making in uncertain environments, within the scope of forward utilities. We investigate an investment-consumption optimization problem in both the many player and mean-field settings, under the framework of forward utilities with relative performance concerns and non-zero volatility. We will also provide numerical examples. If time permits, I will also present a numerical methods for forward utilities in a stochastic factor model (for both standard and regime-switching models), using their representation with ergodic backward stochastic differential equations (eBSDEs).