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Cooperative Stochastic Differential Games

2006-05-11 Business & Economics
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Release : 2006-05-11
Genre : Business & Economics
Kind : eBook
Book Rating : 22X/5 ( reviews)

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Book Synopsis Cooperative Stochastic Differential Games by : David W.K. Yeung

Download or read book Cooperative Stochastic Differential Games written by David W.K. Yeung. This book was released on 2006-05-11. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side.

Cooperative Stochastic Differential Games

2008-11-01 Business & Economics
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Release : 2008-11-01
Genre : Business & Economics
Kind : eBook
Book Rating : 399/5 ( reviews)

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Book Synopsis Cooperative Stochastic Differential Games by : David W.K. Yeung

Download or read book Cooperative Stochastic Differential Games written by David W.K. Yeung. This book was released on 2008-11-01. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side.

Stochastic Differential Games. Theory and Applications

2012-01-05 Mathematics
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Release : 2012-01-05
Genre : Mathematics
Kind : eBook
Book Rating : 473/5 ( reviews)

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Book Synopsis Stochastic Differential Games. Theory and Applications by : Kandethody M. Ramachandran

Download or read book Stochastic Differential Games. Theory and Applications written by Kandethody M. Ramachandran. This book was released on 2012-01-05. Available in PDF, EPUB and Kindle. Book excerpt: The subject theory is important in finance, economics, investment strategies, health sciences, environment, industrial engineering, etc.

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

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

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Book Synopsis Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems by : Cheng-ke Zhang

Download or read book Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems written by Cheng-ke Zhang. This book was released on 2016-09-02. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Monitoring Cooperative Equilibria in a Stochastic Differential Game

2010
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Release : 2010
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Monitoring Cooperative Equilibria in a Stochastic Differential Game by : Alain Haurie

Download or read book Monitoring Cooperative Equilibria in a Stochastic Differential Game written by Alain Haurie. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: This paper deals with a class of equilibria which are based on the use of memory strategies in the context of continuous-time stochastic differential games. In order to get interpretable results, we will focus the study on a stochastic differential game model of the exploitation of one species of fish by two competing fisheries. We explore the possibility of defining a so-called cooperative equilibrium, which will implement a fishing agreement. In order to obtain that equilibrium, one defines a monitoring variable and an associated retaliation scheme. Depending on the value of the monitoring variable, which provides some evidence of a deviation from the agreement, the probability increases that the mode of a game will change from a cooperative to a punitive one. Both the monitoring variable and the parameters of this jump process are design elements of the cooperative equilibrium. A cooperative equilibrium designed in this way is a solution concept for a switching diffusion game. We solve that game using the sufficient conditions for a feedback equilibrium which are given by a set of coupled HJB equations. A numerical analysis, approximating the solution of the HJB equations through an associated Markov game, enables us to show that there exist cooperative equilibria which dominate the classical feedback Nash equilibrium of the original diffusion game model.

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