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An Introduction to Optimal Control of FBSDE with Incomplete Information / / by Guangchen Wang, Zhen Wu, Jie Xiong



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Autore: Wang Guangchen Visualizza persona
Titolo: An Introduction to Optimal Control of FBSDE with Incomplete Information / / by Guangchen Wang, Zhen Wu, Jie Xiong Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Edizione: 1st ed. 2018.
Descrizione fisica: 1 online resource (XI, 116 p.)
Disciplina: 532.5015192
Soggetto topico: Calculus of variations
Probabilities
Actuarial science
Calculus of Variations and Optimal Control; Optimization
Probability Theory and Stochastic Processes
Actuarial Sciences
Persona (resp. second.): WuZhen
XiongJie
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: An Introduction to Optimal Control of FBSDE with Incomplete Information  Visualizza cluster
ISBN: 3-319-79039-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910300102003321
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Serie: SpringerBriefs in Mathematics, . 2191-8198