Existence, uniqueness and strict comparison theorems for backward stochastic differential equations driven by RCLL martingales
Probability
2021-03-17 v1
Abstract
Results on the existence, uniqueness and strict comparison for solutions to a BSDE driven by a multi-dimensional RCLL martingale are established. The goal is to develop a general multi-asset framework encompassing a wide spectrum of nonlinear financial models with jumps, including as particular cases the setups studied by Peng and Xu \cite{PX2009,PX2010} and Dumitrescu et al. \cite{DGQS2018} who dealt with BSDEs driven by a one-dimensional Brownian motion and a purely discontinuous martingale with a single jump.
Cite
@article{arxiv.2103.08898,
title = {Existence, uniqueness and strict comparison theorems for backward stochastic differential equations driven by RCLL martingales},
author = {Tianyang Nie and Marek Rutkowski},
journal= {arXiv preprint arXiv:2103.08898},
year = {2021}
}
Comments
22 pages