BSDEs with random default time and related zero-sum stochastic differential games

作者:Peng Shige*; Xu Xiaoming
来源:Comptes Rendus Mathematique, 2010, 348(3-4): 193-198.
DOI:10.1016/j.crma.2009.11.009

摘要

In this Note we are concerned with backward stochastic differential equations with random default time. The equations are driven by Brownian motion as well as a mutually independent martingale appearing in a defaultable setting. We show that these equations have unique solutions and a comparison theorem for their solutions. As an application, we get a saddle-point strategy for the related zero-sum stochastic differential game problem. (D 2009 Academie des sciences. Published by Elsevier Masson SAS.