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A Maximum Principle for Stochastic Control with Partial Information 

Authors: Fouzia Baghery a; Bernt Oslashksendal bc
Affiliations:   a Laboratoire LAMAV, Universiteacute de Valenciennes, Valenciennes, France
b Center of Mathematics for Applications (CMA), University of Oslo, Oslo, Norway
c Norwegian School of Economics and Business Administration, Bergen, Norway
DOI: 10.1080/07362990701283128
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 25, Issue 3 May 2007 , pages 705 - 717
Formats available: HTML (English) : PDF (English)
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Abstract

We study the problem of optimal control of a jump diffusion, that is, a process which is the solution of a stochastic differential equation driven by Leacutevy processes. It is required that the control process is adapted to a given subfiltration of the filtration generated by the underlying Leacutevy processes. We prove two maximum principles (one sufficient and one necessary) for this type of partial information control. The results are applied to a partial information mean-variance portfolio selection problem in finance.
Keywords: Controlled jump diffusions; Leacutevy processes; Maximum principle; Partial information; Stochastic control
Mathematics Subject Classification: Primary 93E20, 60H10, 60G51, 91B28; Secondary 60J75, 49J55, 49K45
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