English

A note on a new existence result for reflected BSDEs with interconnected obstacles

Probability 2017-10-09 v1

Abstract

In this note we prove existence of a solution to a system of Markovian BSDEs with interconnected obstacles. A key feature of our system, and the main novelty of this paper, is that we allow for the driver fif_i of the ii-th component of the YY-process to depend on all components of the ZZ-process. This extends the existing theory on reflected BSDEs, which only addresses problems where fif_i depends on ZiZ^i.

Keywords

Cite

@article{arxiv.1710.02389,
  title  = {A note on a new existence result for reflected BSDEs with interconnected obstacles},
  author = {Tiziano De Angelis and Giorgio Ferrari and Saïd Hamadène},
  journal= {arXiv preprint arXiv:1710.02389},
  year   = {2017}
}

Comments

16 pages

R2 v1 2026-06-22T22:05:38.614Z