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A converse comparison theorem for anticipated BSDEs and related non-linear expectations

Authors :
Yang, Zhe
Elliott, Robert J.
Source :
Stochastic Processes & Their Applications. Feb2013, Vol. 123 Issue 2, p275-299. 25p.
Publication Year :
2013

Abstract

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 -expectations induced by anticipated BSDEs. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
03044149
Volume :
123
Issue :
2
Database :
Academic Search Index
Journal :
Stochastic Processes & Their Applications
Publication Type :
Academic Journal
Accession number :
84478232
Full Text :
https://doi.org/10.1016/j.spa.2012.09.006