书目名称 | Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems |
编辑 | Cheng-ke Zhang,Huai-nian Zhu,Ning Bin |
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概述 | Investigating systematically both the theory and methods, and their applications.Introduces the developments and research status of the theory for singular Markov jump linear systems, deterministic an |
丛书名称 | Studies in Systems, Decision and Control |
图书封面 |  |
描述 | .This book systematically studies the stochastic non-cooperative differential game theory of generalized linear Markov jump systems and its application in the field of finance and insurance. The book is an in-depth research book of the continuous time and discrete time linear quadratic stochastic differential game, in order to establish a relatively complete framework of dynamic non-cooperative differential game theory. It uses the method of dynamic programming principle and Riccati equation, and derives it into all kinds of existence conditions and calculating method of the equilibrium strategies of dynamic non-cooperative differential game. Based on the game theory method, this book studies the corresponding robust control problem, especially the existence condition and design method of the optimal robust control strategy. The book discusses the theoretical results and its applications in the risk control, option pricing, and the optimal investment problem in the field of finance and insurance, enriching the achievements of differential game research. This book can be used as a reference book for non-cooperative differential game study, for graduate students majored in economic m |
出版日期 | Conference proceedings 2017 |
关键词 | Singular Markov Jump Linear Systems; Stochastic Differential Game; Nash Equilibrium; Robust Control; Por |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-40587-2 |
isbn_softcover | 978-3-319-82133-7 |
isbn_ebook | 978-3-319-40587-2Series ISSN 2198-4182 Series E-ISSN 2198-4190 |
issn_series | 2198-4182 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |