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:
Download or read book Applied Differential Games written by A. Mehlmann and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Cooperative Stochastic Differential Games written by David W.K. Yeung and published by Springer Science & Business Media. This book was released on 2006-05-11 with total page 253 pages. 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.
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.
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.
Download or read book Advances in Dynamic Games written by Michèle Breton and published by Springer Science & Business Media. This book was released on 2010-11-18 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The selected contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 13th International Symposium of Dynamic Games and Applications held in Wrocław. The book covers a variety of topics, ranging from theoretical developments in game theory and algorithmic methods to applications, examples, and analysis in fields as varied as environmental management, finance and economics, engineering, guidance and control, and social interaction.
Download or read book Game Theory for the Social Sciences written by Herve Moulin and published by NYU Press. This book was released on 1986-10-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Herve Moulin's highly successful book outlines the fundamental concepts of game theory—one of the most provocative and fruitful applications of mathematics to the human sciences—and demonstrates its uses in economic and political discourse. Thoroughly revised, and now published with an accompanying workbook of 89 exercises, this rigorous yet accessible test explains the uses of game theory in largely nontechnical terms. Moulin carefully discusses the behavioral scenarios underlying the various equilibrium concepts. He provides a self-contained exposition of basic equilibrium concepts for strategic games: perfect (sophisticated) equilibrium, Nash's noncooperative example, Aumann's strong and correlated example, and several versions of the core. The author is concerned less with mathematical refinements than with helping the reader understand the strategic stories backing these concepts. HIs examples therefore give a fair account of the current game models used in economics, politics, and sociology. Addressed here are oligopoly theory, the provision of public gtoods, auctions, voting procedures, and cost allocation problems, as well as the classic prisoner's dilemma, tic-tac-toe, and Marienbad games. Extremely popular in its original French edition and in its first English version, Moulin's excellent introductory text is now, more than ever, the book to answer the essential questions about the application of game theory to the social sciences.
Download or read book Stochastic and Differential Games written by Martino Bardi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Theory of Positional Games with Applications in Economics written by Iosif A. Krass and published by Academic Press. This book was released on 2014-05-12 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Positional Games with Applications in Economics deals with information and probabilistic extension of games in extensive forms, in normal forms, and to the existence of solutions of infinite games. The text also explains the application of existence of a solution to a von Neumann model with conflict interaction, and the theory of differential games based on Isaac's equations. The text describes in detail the definitions of a difference game, control sets of players, general strategies, optimal behavioral strategies. Isaac's approach to differential games is based primarily on the assumption of the sufficient smoothness of a Bellman's function. Bellman's function becomes smooth if control functions satisfy certain regularity conditions and smoothness conditions. Other approaches to differential games include the geometric properties of games and those of Avner Friedman and Nokolai Krasovsky. The computation of behavioral strategies in the Friedman approach is primarily based on Isaac's approach. Krasovky's approach is somewhat a generalization of both the geometrical approach and Friedman's approximation approach. The book is suitable for economists, statistician, mathematicians, students or professors of economics, business, and games theory.
Download or read book Differential Games written by Rufus Isaacs and published by . This book was released on 1975 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Pursuit Games written by Otomar Hajek and published by Courier Corporation. This book was released on 2008-01-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of systematic methods for winning differential games of pursuit and evasion, this volume explores the procedures' scope and applications. Numerous examples illustrate basic and advanced concepts, including capture, strategy, and algebraic theory. Detailed proofs appear throughout the text, along with 200 exercises that further clarify each subject. 1975 edition.
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.
Download or read book Differential Games written by Rufus Isaacs and published by . This book was released on 1963 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broadly a differential game is one in which, as the action progresses, both the environment and the decisions available to the players are subject to a consistent, logical law, so that the problem is amenable to mathematical analysis. Usually the action is continuous and solutions can actually be obtained for a wide range of problems of extended conflict between two antagonists. The applications include various models of battles, pursuit and evasion games, dogfights, and other contests of maneuvering, such as football, and some aiming and evasion problems. By allowing one player to be passive, certain programming procedures can be optimized. A chapter is devoted to collision avoidance, in which the players cooperate rather than conflict. In what are termed games of degree the players respectively seek to maximize and minimize some numerically valued payoff. In games of kind the criterion is sharp, such as whether or not capture will occur in a pursuit situation. The two types have separate but related theories. The text concludes with chapters on the case of incomplete information and the practical aspects of applications to warfare. (Author).
Download or read book Topics in Trade Coordination of Planned Economies written by Alfred Zauberman and published by Springer. This book was released on 1980-06-18 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Programming for Operations Researchers and Computer Scientists written by Albert G. Holzman and published by CRC Press. This book was released on 2020-11-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the fundamentals of linear programming, extension of linear programming to discrete optimization methods, multi-objective functions, quadratic programming, geometric programming, and classical calculus methods for solving nonlinear programming problems.
Download or read book The World as a Mathematical Game written by Giorgio Israel and published by Springer Science & Business Media. This book was released on 2009-04-24 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science.
