How can the dual martingale help solving the primal optimal stopping problem?

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Authors: Aurélien Alfonsi, Ahmed Kebaier, Jérôme Lelong
Cited by: 0

Abstract

Motivated by recent results on the dual formulation of optimal stopping problems, we investigate in this short paper how the knowledge of an approximating dual martingale can improve the efficiency of primal methods. In particular, we show on numerical examples that accurate approximations of a dual martingale efficiently reduce the variance for the primal optimal stopping problem.

Fields of Study & Subjects

Stochastic processes and financial applications Risk and Portfolio Optimization Adaptive Dynamic Programming Control

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 February 2026
Language
EN
Document type
Preprint