Differential Games
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Differential Games
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Author : Rufus Isaacs
language : en
Publisher: Courier Corporation
Release Date : 1999-01-01
Differential Games written by Rufus Isaacs and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.
One of the definitive works in game theory, this volume takes an original and expert look at conflict solutions. Drawing on game theory, the calculus of variations, and control theory, the author solves an amazing array of problems relating to military situations, pursuit and evasion tactics, athletic contests, and many more. Clearly detailed examples; numerous calculations. 1965 edition.
Differential Games Of Pursuit
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Author : Leon A Petrosjan
language : en
Publisher: World Scientific
Release Date : 1993-09-30
Differential Games Of Pursuit written by Leon A Petrosjan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-30 with Mathematics categories.
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. Contents:PreliminariesDefinition of Differential Game of Pursuit and Existence Theorem of Equilibrium PointsClass of Pursuit-Evasion Games with Optimal Open-Loop Strategy for EvaderExamples of Differential Games of Pursuit“Life Line” Game of PursuitDifferential Games with Incomplete InformationNoncooperative Differential GamesCooperative Differential Games with Side PaymentsNew Optimality Principles in n-Person Differential Games Readership: Postgraduates and researchers in applied mathematics. keywords:Pursuier;Evader;Saddle Point;Invariant Center of Pursuit;Value Function;Bellmann-Isaaks Equation;Time Optimal Pursuit Game;Time-Consistency;Optimal Strategy;Lifeline Game
Differential Games
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Author : Avner Friedman
language : en
Publisher: Courier Corporation
Release Date : 2013-06-06
Differential Games written by Avner Friedman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-06 with Mathematics categories.
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.
Differential Games In Economics And Management Science
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Author : Engelbert Dockner
language : en
Publisher: Cambridge University Press
Release Date : 2000-11-16
Differential Games In Economics And Management Science written by Engelbert Dockner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-16 with Business & Economics categories.
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.
Differential Games A Concise Introduction
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Author : Jiongmin Yong
language : en
Publisher: World Scientific
Release Date : 2014-12-05
Differential Games A Concise Introduction written by Jiongmin Yong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Mathematics categories.
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.
Introduction To Differential Games And Control Theory
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Author : V. N. Lagunov
language : en
Publisher:
Release Date : 1985
Introduction To Differential Games And Control Theory written by V. N. Lagunov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Control theory categories.
Differential Games
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Author : Joseph Lewin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Differential Games written by Joseph Lewin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Differential games theory is the most appropriate discipline for the modelling and analysis of real life conflict problems. The theory of differential games is here treated with an emphasis on the construction of solutions to actual problems with singular surfaces. The reader is provided with the knowledge necessary to put the theory of differential games into practice.
Stochastic Differential Games Theory And Applications
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Author : Kandethody M. Ramachandran
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05
Stochastic Differential Games Theory And Applications written by Kandethody M. Ramachandran and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-05 with Mathematics categories.
The subject theory is important in finance, economics, investment strategies, health sciences, environment, industrial engineering, etc.
Pursuit Games
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Author : Otomar Hájek
language : en
Publisher: Academic Press
Release Date : 1976-01-22
Pursuit Games written by Otomar Hájek and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-22 with Computers categories.
This book describes systematic methods for winning in differential games of pursuit and evasion and illustrates the scope and application of the developed procedures.
The Existence Of Value In Differential Games
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Author : Robert James Elliott
language : en
Publisher: American Mathematical Soc.
Release Date : 1972
The Existence Of Value In Differential Games written by Robert James Elliott and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Control theory categories.
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.