An introduction to optimal control of FBSDE incomplete information
著者
書誌事項
An introduction to optimal control of FBSDE incomplete information
（SpringerBriefs in mathematics）
Springer, c2018
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注記
Includes bibliographical references (p. 109-113) and index
内容説明・目次
内容説明
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.
目次
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.
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