Article ID Journal Published Year Pages File Type
4668952 Bulletin des Sciences Mathématiques 2012 21 Pages PDF
Abstract

We study the existence of an optimal strategy for the stochastic control of diffusion in general case and a saddle-point for zero-sum stochastic differential games. The problem is formulated as an extended BSDE with logarithmic growth in the z-variable and an Lp-integrable terminal value, for a suitable p>2. We also show the existence and uniqueness of solution for this BSDE.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)