Youssef Ouknine: Optimal stopping with f-expectations: the irregular case.

Youssef Ouknine (Cadi Ayyad University, Marrakesh, Morocco) gives a lecture with the title: Optimal stopping with f-expectations: the irregular case.

We consider the optimal stopping problem with non-linear f-expectation (induced by a BSDE) without making any regularity assumptions on the pay-off process \xi. We show that the value family can be aggregated by an optional process Y. We characterize the process Y as the \mathcal{E}^f-Snell envelope of \xi. We also establish an infinitesimal characterization of the value process Y in terms of a Reflected BSDE with \xi as the obstacle. This characterization is established by first showing existence and uniqueness for the Reflected BSDE with irregular obstacle and also a comparison theorem.

This talk is based on joint work with Miryana Grigorova, Peter Imkeller and Marie-Claire Quenez.

Published Mar. 3, 2017 6:11 PM - Last modified Mar. 3, 2017 6:31 PM