Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems

Author:   Cheng-ke Zhang ,  Hai-ying Zhou ,  Huai-nian Zhu ,  Ning Bin
Publisher:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2017
Volume:   67
ISBN:  

9783319821337


Pages:   187
Publication Date:   14 June 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems


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Overview

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 management, science and engineering of institutions of higher learning.

Full Product Details

Author:   Cheng-ke Zhang ,  Hai-ying Zhou ,  Huai-nian Zhu ,  Ning Bin
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2017
Volume:   67
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783319821337


ISBN 10:   3319821334
Pages:   187
Publication Date:   14 June 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- Deterministic and Stochastic Differential Games.- Stochastic Differential Games of Continuous-time Markov Jump Linear Systems.- Stochastic Differential Game of Discrete-time Markov Jump Linear System.- Stochastic Differential Game of Stochastic Markov Jump Singular Systems.- Game Theory Approach to Stochastic H2/H∞ Control of Markov Jump Linear Singular Systems.- Applications of Stochastic Differential Game Theory for Linear Markov Jump Systems to Finance and Insurance.

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