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

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Release : 2016-09-02
Genre : Technology & Engineering
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Book Rating : 87X/5 ( reviews)

Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems write by Cheng-ke Zhang. This book was released on 2016-09-02. Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems available in PDF, EPUB and Kindle. 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.

Stochastic and Differential Games

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 927/5 ( reviews)

Stochastic and Differential Games - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic and Differential Games write by Martino Bardi. This book was released on 2012-12-06. Stochastic and Differential Games available in PDF, EPUB and Kindle. The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L.S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P.P. Varaiya, E. Roxin, R.J. Elliott and N.J. Kalton, N.N. Krasovskii, and A.I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L.D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M.G. Crandall and P.-L.

Advances in Materials Sciences, Energy Technology and Environmental Engineering

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Release : 2017-01-20
Genre : Science
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Book Rating : 950/5 ( reviews)

Advances in Materials Sciences, Energy Technology and Environmental Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Materials Sciences, Energy Technology and Environmental Engineering write by Aragona Patty. This book was released on 2017-01-20. Advances in Materials Sciences, Energy Technology and Environmental Engineering available in PDF, EPUB and Kindle. The 2016 International Conference on Materials Science, Energy Technology and Environmental Engineering (MSETEE 2016) took place May 28-29, 2016 in Zhuhai City, China. MSETEE 2016 brought together academics and industrial experts in the field of materials science, energy technology and environmental engineering. The primary goal of the conference was to promote research and developmental activities in these research areas and to promote scientific information interchange between researchers, developers, engineers, students, and practitioners working around the world. The conference will be held every year serving as platform for researchers to share views and experience in materials science, energy technology and environmental engineering and related areas.

Stochastic Game Strategies and their Applications

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Release : 2019-07-31
Genre : Mathematics
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Book Rating : 508/5 ( reviews)

Stochastic Game Strategies and their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Game Strategies and their Applications write by Bor-Sen Chen. This book was released on 2019-07-31. Stochastic Game Strategies and their Applications available in PDF, EPUB and Kindle. Game theory involves multi-person decision making and differential dynamic game theory has been widely applied to n-person decision making problems, which are stimulated by a vast number of applications. This book addresses the gap to discuss general stochastic n-person noncooperative and cooperative game theory with wide applications to control systems, signal processing systems, communication systems, managements, financial systems, and biological systems. H∞ game strategy, n-person cooperative and noncooperative game strategy are discussed for linear and nonlinear stochastic systems along with some computational algorithms developed to efficiently solve these game strategies.

Stochastic and Differential Games

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Release : 1999
Genre : Differential games
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Book Rating : 292/5 ( reviews)

Stochastic and Differential Games - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic and Differential Games write by Martino Bardi. This book was released on 1999. Stochastic and Differential Games available in PDF, EPUB and Kindle. The theory of two-person, zero-sum differential games started at the be- ginning of the 1960s with the works of R. Isaacs in the United States and L. S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton- Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe- sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv- ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P. P. Varaiya, E. Roxin, R. J. Elliott and N. J. Kalton, N. N. Krasovskii, and A. I.Subbotin (see their book Po- sitional Differential Games, Nauka, 1974, and Springer, 1988), and L. D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M. G. Crandall and P. -L.