A Maximum Principle for Stochastic Control with Partial Information
Authors:
Fouzia Baghery a;
Bernt
ksendal bc
ksendal bc
| Affiliations: | a Laboratoire LAMAV, Universit 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
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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 L
vy processes. It is required that the control process is adapted to a given subfiltration of the filtration generated by the underlying L vy 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.
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Keywords:
Controlled jump diffusions;
L vy processes;
Maximum principle;
Partial information;
Stochastic control
|
| Mathematics Subject Classification: Primary 93E20, 60H10, 60G51, 91B28; Secondary 60J75, 49J55, 49K45 |
| view references (7) |

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