Ebook: An Introduction to Optimal Control of FBSDE with Incomplete Information
Author: Guangchen Wang Zhen Wu Jie Xiong
- Tags: Mathematics, Calculus of Variations and Optimal Control, Optimization, Probability Theory and Stochastic Processes, Actuarial Sciences
- Series: SpringerBriefs in Mathematics
- Year: 2018
- Publisher: Springer International Publishing
- Edition: 1st ed.
- Language: English
- pdf
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.