English

Robust optimal problem for dynamic risk measures governed by BSDEs with jumps and delayed generator

Probability 2021-10-06 v1

Abstract

The aim of this paper is to study an optimal stopping problem for dynamic risk measures induced by backward stochastic differential equations with jumps and delayed generator. Firstly, we connect the value function of this problem to reflected BSDEs with jump and delayed generator. Furthermore, after establishing existence and uniqueness result for this reflected BSDE, we use its to address through a mixed/optimal stopping game problem for the previous dynamic risk measure in ambiguity case.

Keywords

Cite

@article{arxiv.2110.02075,
  title  = {Robust optimal problem for dynamic risk measures governed by BSDEs with jumps and delayed generator},
  author = {Tuo Navegue and Auguste Aman},
  journal= {arXiv preprint arXiv:2110.02075},
  year   = {2021}
}

Comments

24 pages

R2 v1 2026-06-24T06:38:14.516Z