[PDF] Differential Games And Applications eBook

Author : Tamer S. Basar
Publisher : Springer
Page : 205 pages
File Size : 42,80 MB
Release : 2014-03-12
Category : Technology & Engineering
ISBN : 9783662168660

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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 : A. Mehlmann
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 22,16 MB
Release : 1988-06-30
Category : Business & Economics
ISBN : 9780306428975

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This book grew out of a set of lecture notes for a one semester course on dynamic game theory held at the University of Technology, Vienna. It is intended primarily at the graduate level for students in operations research, management science, applied mathematics, and eco nomics. I hope that I have been able to give the reader an accessible introduction to the subject of nonzero-sum dif ferential games with particular emphasis on applications. It would be irrational to try to re ach total com prehensiveness in a single volume. Therefore, I have resisted the temptation to "over-cannibalize" previous textbooks and monographs on the subject. It has rather been my desire to cover material that (I think) is impor tant and interesting, but gets left out of these publications. Writing a book is quite a game. In the beginning -before c10sing the binding agreement* with Plenum-I believed this to be a fi·nite horizon game. Time, however, * Key words will be explained in the text. 7 PREFACE 8 was a merciless arbiter. I am grateful to the Senior Editor, Dr. Ken Derharn, for allowing manuscript delivery to become a (restricted) free terminal time problem. Most of all, I thank my wife Grace for offering me the needed spiritual support, and my two-year-old daughter Sabrina for ignoring the paradoxical situation that there are games which prevent Dad from playing with her.

Author : Avner Friedman
Publisher : Courier Corporation
Page : 372 pages
File Size : 36,88 MB
Release : 2013-06-06
Category : Mathematics
ISBN : 0486153274

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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 : Rufus Isaacs
Publisher : Courier Corporation
Page : 420 pages
File Size : 10,31 MB
Release : 2012-04-26
Category : Mathematics
ISBN : 0486135985

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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 : Engelbert Dockner
Publisher : Cambridge University Press
Page : 398 pages
File Size : 20,61 MB
Release : 2000-11-16
Category : Business & Economics
ISBN : 9780521637329

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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 : Tamer Başar
Publisher :
Page : 220 pages
File Size : 38,87 MB
Release : 1989
Category : Control theory
ISBN :

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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 : Pierre Cardaliaguet
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 43,50 MB
Release : 2012-09-13
Category : Mathematics
ISBN : 0817683550

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This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. Its contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 14th International Symposium of Dynamic Games and Applications held in Banff. Advances in Dynamic Games covers a variety of topics, ranging from evolutionary games, theoretical developments in game theory and algorithmic methods to applications, examples, and analysis in fields as varied as mathematical biology, environmental management, finance and economics, engineering, guidance and control, and social interaction. Featured throughout are valuable tools and resources for researchers, practitioners, and graduate students interested in dynamic games and their applications to mathematics, engineering, economics, and management science.​

Author : Y. Yavin
Publisher : Elsevier
Page : 352 pages
File Size : 23,5 MB
Release : 2014-06-28
Category : Mathematics
ISBN : 1483295931

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Twenty papers are devoted to the treatment of a wide spectrum of problems in the theory and applications of dynamic games with the emphasis on pursuit-evasion differential games. The problem of capturability is thoroughly investigated, also the problem of noise-corrupted (state) measurements. Attention is given to aerial combat problems and their attendant modelling issues, such as variable speed of the combatants, the three-dimensionality of physical space, and the combat problem, i.e. problems related to 'role determination'.

Author : Luca Lambertini
Publisher : Cambridge University Press
Page : 275 pages
File Size : 19,22 MB
Release : 2018-04-26
Category : Business & Economics
ISBN : 1316732630

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Game theory has revolutionised our understanding of industrial organisation and the traditional theory of the firm. Despite these advances, industrial economists have tended to rely on a restricted set of tools from game theory, focusing on static and repeated games to analyse firm structure and behaviour. Luca Lambertini, a leading expert on the application of differential game theory to economics, argues that many dynamic phenomena in industrial organisation (such as monopoly, oligopoly, advertising, R&D races) can be better understood and analysed through the use of differential games. After illustrating the basic elements of the theory, Lambertini guides the reader through the main models, spanning from optimal control problems describing the behaviour of a monopolist through to oligopoly games in which firms' strategies include prices, quantities and investments. This approach will be of great value to students and researchers in economics and those interested in advanced applications of game theory.