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Author : Austin Blaquière
Publisher : North-Holland
ISBN 13 : 9780444104670
Total Pages : 0 pages
Book Rating : 4.1/5 (46 download)
Download or read book Topics in Differential Games written by Austin Blaquière and published by North-Holland. This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Avner Friedman
Publisher : Courier Corporation
ISBN 13 : 0486153274
Total Pages : 372 pages
Book Rating : 4.4/5 (861 download)
Download or read book Differential Games written by Avner Friedman and published by Courier Corporation. This book was released on 2013-06-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text surveys games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, games with restricted phase coordinates, and N-person games. 1971 edition.
Author : Tamer S. Basar
Publisher : Springer
ISBN 13 : 9783662168660
Total Pages : 205 pages
Book Rating : 4.1/5 (686 download)
Download or read book Differential Games and Applications written by Tamer S. Basar and published by Springer. This book was released on 2014-03-12 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains fifteen articles on the topic of differential and dynamic games, focusing on both theory and applications. It covers a variety of areas and presents recent developments on topics of current interest. It should be useful to researchers in differential and dynamic games, systems and control, operations research and mathematical economics.
Author : Xiaojun Qian
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (493 download)
Download or read book Topics in Differential Games written by Xiaojun Qian and published by . This book was released on 1992 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rufus Isaacs
Publisher : Courier Corporation
ISBN 13 : 0486135985
Total Pages : 420 pages
Book Rating : 4.4/5 (861 download)
Download or read book Differential Games written by Rufus Isaacs and published by Courier Corporation. This book was released on 2012-04-26 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition.
Author : Austin Blaquière
Publisher :
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.:/5 (44 download)
Download or read book Topics in Differential Games written by Austin Blaquière and published by . This book was released on 1973 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jiongmin Yong
Publisher : World Scientific
ISBN 13 : 9814596248
Total Pages : 337 pages
Book Rating : 4.8/5 (145 download)
Download or read book Differential Games: A Concise Introduction written by Jiongmin Yong and published by World Scientific. This book was released on 2014-12-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses a small volume to present the most basic results for deterministic two-person differential games. The presentation begins with optimization of a single function, followed by a basic theory for two-person games. For dynamic situations, the author first recalls control theory which is treated as single-person differential games. Then a systematic theory of two-person differential games is concisely presented, including evasion and pursuit problems, zero-sum problems and LQ differential games.The book is intended to be self-contained, assuming that the readers have basic knowledge of calculus, linear algebra, and elementary ordinary differential equations. The readership of the book could be junior/senior undergraduate and graduate students with majors related to applied mathematics, who are interested in differential games. Researchers in some other related areas, such as engineering, social science, etc. will also find the book useful.
Author : Jacob Engwerda
Publisher : John Wiley & Sons
ISBN 13 : 9780470015247
Total Pages : 514 pages
Book Rating : 4.0/5 (152 download)
Download or read book LQ Dynamic Optimization and Differential Games written by Jacob Engwerda and published by John Wiley & Sons. This book was released on 2005-06-17 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is the theory of social situations, and the majority of research into the topic focuses on how groups of people interact by developing formulas and algorithms to identify optimal strategies and to predict the outcome of interactions. Only fifty years old, it has already revolutionized economics and finance, and is spreading rapidly to a wide variety of fields. LQ Dynamic Optimization and Differential Games is an assessment of the state of the art in its field and the first modern book on linear-quadratic game theory, one of the most commonly used tools for modelling and analysing strategic decision making problems in economics and management. Linear quadratic dynamic models have a long tradition in economics, operations research and control engineering; and the author begins by describing the one-decision maker LQ dynamic optimization problem before introducing LQ differential games. Covers cooperative and non-cooperative scenarios, and treats the standard information structures (open-loop and feedback). Includes real-life economic examples to illustrate theoretical concepts and results. Presents problem formulations and sound mathematical problem analysis. Includes exercises and solutions, enabling use for self-study or as a course text. Supported by a website featuring solutions to exercises, further examples and computer code for numerical examples. LQ Dynamic Optimization and Differential Games offers a comprehensive introduction to the theory and practice of this extensively used class of economic models, and will appeal to applied mathematicians and econometricians as well as researchers and senior undergraduate/graduate students in economics, mathematics, engineering and management science.
Author : Engelbert Dockner
Publisher : Cambridge University Press
ISBN 13 : 9780521637329
Total Pages : 398 pages
Book Rating : 4.6/5 (373 download)
Download or read book Differential Games in Economics and Management Science written by Engelbert Dockner and published by Cambridge University Press. This book was released on 2000-11-16 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, self-contained survey of the theory and applications of differential games, one of the most commonly used tools for modelling and analysing economics and management problems which are characterised by both multiperiod and strategic decision making. Although no prior knowledge of game theory is required, a basic knowledge of linear algebra, ordinary differential equations, mathematical programming and probability theory is necessary. Part One presents the theory of differential games, starting with the basic concepts of game theory and going on to cover control theoretic models, Markovian equilibria with simultaneous play, differential games with hierarchical play, trigger strategy equilibria, differential games with special structures, and stochastic differential games. Part Two offers applications to capital accumulation games, industrial organization and oligopoly games, marketing, resources and environmental economics.
Author : Harold William Kuhn
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.:/5 (44 download)
Download or read book Differential Games and Related Topics written by Harold William Kuhn and published by . This book was released on 1971 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alfred Zauberman
Publisher :
ISBN 13 : 9780814796535
Total Pages : 227 pages
Book Rating : 4.7/5 (965 download)
Download or read book Differential Games and Other Game-theoretic Topics in Soviet Literature written by Alfred Zauberman and published by . This book was released on 1975 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tamer Başar
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.3/5 (91 download)
Download or read book Differential Games and Applications written by Tamer Başar and published by . This book was released on 1989 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains fifteen articles on the topic of differential and dynamic games, focusing on both theory and applications. It covers a variety of areas and presents recent developments on topics of current interest. It should be useful to researchers in differential and dynamic games, systems and control, operations research and mathematical economics.
Author : Alexander Tarasyev
Publisher : Springer Nature
ISBN 13 : 3030428311
Total Pages : 380 pages
Book Rating : 4.0/5 (34 download)
Download or read book Stability, Control and Differential Games written by Alexander Tarasyev and published by Springer Nature. This book was released on 2020-05-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the International Conference “Stability, Control, Differential Games” (SCDG2019, September 16 – 20, 2019, Yekaterinburg, Russia), organized by the Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences. Discussing the latest advances in the theory of optimal control, stability theory and differential games, it also demonstrates the application of new techniques and numerical algorithms to solve problems in robotics, mechatronics, power and energy systems, economics and ecology. Further, the book includes fundamental results in control theory, stability theory and differential games presented at the conference, as well as a number of chapters focusing on novel approaches in solving important applied problems in control and optimization. Lastly, it evaluates recent major accomplishments, and forecasts developments in various up-and-coming areas, such as hybrid systems, model predictive control, Hamilton–Jacobi equations and advanced estimation algorithms.
Author : Robert James Elliott
Publisher : American Mathematical Soc.
ISBN 13 : 0821818260
Total Pages : 75 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Existence of Value in Differential Games written by Robert James Elliott and published by American Mathematical Soc.. This book was released on 1972 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the manner described in the introduction we show the existence of value for all two person, zero-sum differential games of prescribed duration. Using the concept of relaxed controls from control theory we relate the approaches to differential games of A. Friedman and W. Fleming. We show that if the 'Isaacs' condition' is satisfied then the game has a value in the sense of Friedman. Over the relaxed controls Isaacs' condition is always satisfied and so the game always has a value in this setting. We do not need Friedman's hypothesis that the two sets of control variables appear separated in the dynamical equations and payoff. The introduction of probabilistic ideas into differential games by relaxed controls thus gives a value, as the introduction of mixed strategies by von Neumann does for two person zero-sum matrix games.
Author : Tamer Basar
Publisher :
ISBN 13 : 9783319273358
Total Pages : pages
Book Rating : 4.2/5 (733 download)
Download or read book Handbook of Dynamic Game Theory written by Tamer Basar and published by . This book was released on 19?? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Résumé : "This will be a two-part handbook on Dynamic Game Theory and part of the Springer Reference program. Part I will be on the fundamentals and theory of dynamic games. It will serve as a quick reference and a source of detailed exposure to topics in dynamic games for a broad community of researchers, educators, practitioners, and students. Each topic will be covered in 2-3 chapters with one introducing basic theory and the other one or two covering recent advances and/or special topics. Part II will be on applications in fields such as economics, management science, engineering, biology, and the social sciences."
Author : Leon A Petrosyan
Publisher : World Scientific
ISBN 13 : 9814505552
Total Pages : 340 pages
Book Rating : 4.8/5 (145 download)
Download or read book Differential Games Of Pursuit written by Leon A Petrosyan and published by World Scientific. This book was released on 1993-09-30 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical optimal control theory deals with the determination of an optimal control that optimizes the criterion subjects to the dynamic constraint expressing the evolution of the system state under the influence of control variables. If this is extended to the case of multiple controllers (also called players) with different and sometimes conflicting optimization criteria (payoff function) it is possible to begin to explore differential games. Zero-sum differential games, also called differential games of pursuit, constitute the most developed part of differential games and are rigorously investigated. In this book, the full theory of differential games of pursuit with complete and partial information is developed. Numerous concrete pursuit-evasion games are solved (”life-line” games, simple pursuit games, etc.), and new time-consistent optimality principles in the n-person differential game theory are introduced and investigated.
Author : H. W. S. Kuhn
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)
Download or read book Differential Games and Related Topics: Proceedings of an International Summer School written by H. W. S. Kuhn and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
