Article ID Journal Published Year Pages File Type
1155604 Stochastic Processes and their Applications 2013 25 Pages PDF
Abstract

The converse comparison theorem has received much attention in the theory of backward stochastic differential equations (BSDEs). However, no such theorem has been proved for anticipated BSDEs. In this paper, we derive a converse comparison theorem by first giving an existence and uniqueness theorem for adapted solutions of anticipated BSDEs with a stopping time and then related to (f,δ)(f,δ)-expectations induced by anticipated BSDEs.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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