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An Introduction to Optimal Control of FBSDE with Incomplete Information

An Introduction to Optimal Control of FBSDE with Incomplete Information
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Field name Details
Dewey Class 515.64
Title An Introduction to Optimal Control of FBSDE with Incomplete Information ([EBook]) / by Guangchen Wang, Zhen Wu, Jie Xiong.
Author Wang, Guangchen
Added Personal Name Wu, Zhen author.
Xiong, Jie author.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2018.
Physical Details XI, 116 p. : online resource.
Series SpringerBriefs in Mathematics 2191-8198
ISBN 9783319790398
Summary Note This book focuses on maximum principle and verification theorem for incomplete information forward-backward stochastic differential equations (FBSDEs) and their applications in linear-quadratic optimal controls and mathematical finance. Lots of interesting phenomena arising from the area of mathematical finance can be described by FBSDEs. Optimal control problems of FBSDEs are theoretically important and practically relevant. A standard assumption in the literature is that the stochastic noises in the model are completely observed. However, this is rarely the case in real world situations. The optimal control problems under complete information are studied extensively. Nevertheless, very little is known about these problems when the information is not complete. The aim of this book is to fill this gap. This book is written in a style suitable for graduate students and researchers in mathematics and engineering with basic knowledge of stochastic process, optimal control and mathematical finance.:
Contents note Introduction -- Filtering of BSDE and FBSDE -- Optimal Control of Fully Coupled FBSDE with Partial Information -- Optimal Control of FBSDE with Partially Observable Information -- LQ Optimal Control Models with Incomplete Information -- Appendix: BSDE and FBSDE.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-79039-8
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