Emerging Applications Of Differential Equations And Game Theory

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Emerging Applications of Differential Equations and Game Theory

Author : Alparslan Gök, S?rma Zeynep
Publisher : IGI Global
ISBN 13 : 1799801365
Total Pages : 284 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Emerging Applications of Differential Equations and Game Theory by : Alparslan Gök, S?rma Zeynep

Download or read book Emerging Applications of Differential Equations and Game Theory written by Alparslan Gök, S?rma Zeynep and published by IGI Global. This book was released on 2019-11-22 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Branches of mathematics and advanced mathematical algorithms can help solve daily problems throughout various fields of applied sciences. Domains like economics, mechanical engineering, and multi-person decision making benefit from the inclusion of mathematics to maximize utility and cooperation across disciplines. There is a need for studies seeking to understand the theories and practice of using differential mathematics to increase efficiency and order in the modern world. Emerging Applications of Differential Equations and Game Theory is a collection of innovative research that examines the recent advancements on interdisciplinary areas of applied mathematics. While highlighting topics such as artificial neuron networks, stochastic optimization, and dynamical systems, this publication is ideally designed for engineers, cryptologists, economists, computer scientists, business managers, mathematicians, mechanics, academicians, researchers, and students.

Differential Games

Author : Rufus Isaacs
Publisher : Courier Corporation
ISBN 13 : 0486135985
Total Pages : 420 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Differential Games by : Rufus Isaacs

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.

New Trends in Dynamic Games and Applications

Author : Jan G. Olsder
Publisher : Springer Science & Business Media
ISBN 13 : 1461242746
Total Pages : 478 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis New Trends in Dynamic Games and Applications by : Jan G. Olsder

Download or read book New Trends in Dynamic Games and Applications written by Jan G. Olsder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of dynamic games is very rich in nature and very much alive! If the reader does not already agree with this statement, I hope he/she will surely do so after having consulted the contents of the current volume. The activities which fall under the heading of 'dynamic games' cannot easily be put into one scientific discipline. On the theoretical side one deals with differential games, difference games (the underlying models are described by differential, respec tively difference equations) and games based on Markov chains, with determin istic and stochastic games, zero-sum and nonzero-sum games, two-player and many-player games - all under various forms of equilibria. On the practical side, one sees applications to economics (stimulated by the recent Nobel prize for economics which went to three prominent scientists in game theory), biology, management science, and engineering. The contents of this volume are primarily based on selected presentations made at the Sixth International Symposium on Dynamic Games and Applica tions, held in St Jovite, Quebec, Canada, 13-15 July 1994. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival technical journals. This conference, as well as its predecessor which was held in Grimentz, 1992, took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. One of the activities of the ISDG is the publication of these Annals. The contributions in this volume have been grouped around five themes.

Differential Games in Economics and Management Science

Author : Engelbert Dockner
Publisher : Cambridge University Press
ISBN 13 : 9780521637329
Total Pages : 398 pages
Book Rating : 4.6/5 (373 download)

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Book Synopsis Differential Games in Economics and Management Science by : Engelbert Dockner

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.

Advances in Dynamic Games

Author : Michèle Breton
Publisher : Springer Science & Business Media
ISBN 13 : 0817680896
Total Pages : 581 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advances in Dynamic Games by : Michèle Breton

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.

The Theory and Application of Differential Games

Author : NATO Advanced Study Institute Staff
Publisher : Springer Science & Business Media
ISBN 13 : 9789027705815
Total Pages : 334 pages
Book Rating : 4.7/5 (58 download)

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Book Synopsis The Theory and Application of Differential Games by : NATO Advanced Study Institute Staff

Download or read book The Theory and Application of Differential Games written by NATO Advanced Study Institute Staff and published by Springer Science & Business Media. This book was released on 1975-02-01 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ~irst international con~erence on differential games was held at Amherst, Massachusetts, in September 1969. A second meeting, partially supported by N.A.T.O., was held in Varenna, Italy, in June 1970. At these conferences many new theoretical results and applications, especially in economic problems, were presented. The present volume consists o~ the lectures presented at a N.A.T.O. Advanced Study Institute on the "Theory and Applications of Differential Games" held at the University of Warwick, Coventry, England, from 27th August to 6th September, 1974. The main contributions during the first week consisted of a survey of two person zero sum differential games by L. D. Berkovitz and four integrated lectures by R. J. Elliott and N. J. Kalton, who have made important contributions to the concept of "value" of a differential game. Applications were featured during the second week and included tactical air games, pursuit and evasion problems, as well as computational aspects. A closing lecture with historical perspectives was given by Rufus Issacs, the recognised pioneer of differential games theory.

Game Theory and Partial Differential Equations

Author : Pablo Blanc
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110621797
Total Pages : 234 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Game Theory and Partial Differential Equations by : Pablo Blanc

Download or read book Game Theory and Partial Differential Equations written by Pablo Blanc and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-22 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extending the well-known connection between classical linear potential theory and probability theory (through the interplay between harmonic functions and martingales) to the nonlinear case of tug-of-war games and their related partial differential equations, this unique book collects several results in this direction and puts them in an elementary perspective in a lucid and self-contained fashion.

Stochastic Differential Games. Theory and Applications

Author : Kandethody M. Ramachandran
Publisher : Springer Science & Business Media
ISBN 13 : 9491216473
Total Pages : 253 pages
Book Rating : 4.4/5 (912 download)

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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 and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject theory is important in finance, economics, investment strategies, health sciences, environment, industrial engineering, etc.

Fixed Point Theory in Ordered Sets and Applications

Author : Siegfried Carl
Publisher : Springer Science & Business Media
ISBN 13 : 1441975853
Total Pages : 482 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Fixed Point Theory in Ordered Sets and Applications by : Siegfried Carl

Download or read book Fixed Point Theory in Ordered Sets and Applications written by Siegfried Carl and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.

Stochastic and Differential Games

Author : Martino Bardi
Publisher : Springer Science & Business Media
ISBN 13 : 1461215927
Total Pages : 388 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic and Differential Games by : Martino Bardi

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.

Game Theory

Author : E. N. Barron
Publisher : John Wiley & Sons
ISBN 13 : 1118533895
Total Pages : 574 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Game Theory by : E. N. Barron

Download or read book Game Theory written by E. N. Barron and published by John Wiley & Sons. This book was released on 2013-04-09 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting new edition of the popular introduction to game theory and its applications The thoroughly expanded Second Edition presents a unique, hands-on approach to game theory. While most books on the subject are too abstract or too basic for mathematicians, Game Theory: An Introduction, Second Edition offers a blend of theory and applications, allowing readers to use theory and software to create and analyze real-world decision-making models. With a rigorous, yet accessible, treatment of mathematics, the book focuses on results that can be used to determine optimal game strategies. Game Theory: An Introduction, Second Edition demonstrates how to use modern software, such as MapleTM, Mathematica®, and Gambit, to create, analyze, and implement effective decision-making models. Coverage includes the main aspects of game theory including the fundamentals of two-person zero-sum games, cooperative games, and population games as well as a large number of examples from various fields, such as economics, transportation, warfare, asset distribution, political science, and biology. The Second Edition features: • A new chapter on extensive games, which greatly expands the implementation of available models • New sections on correlated equilibria and exact formulas for three-player cooperative games • Many updated topics including threats in bargaining games and evolutionary stable strategies • Solutions and methods used to solve all odd-numbered problems • A companion website containing the related Maple and Mathematica data sets and code A trusted and proven guide for students of mathematics and economics, Game Theory: An Introduction, Second Edition is also an excellent resource for researchers and practitioners in economics, finance, engineering, operations research, statistics, and computer science.

Dynamic Games: Theory and Applications

Author : Alain Haurie
Publisher : Springer Science & Business Media
ISBN 13 : 9780387246017
Total Pages : 296 pages
Book Rating : 4.2/5 (46 download)

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Book Synopsis Dynamic Games: Theory and Applications by : Alain Haurie

Download or read book Dynamic Games: Theory and Applications written by Alain Haurie and published by Springer Science & Business Media. This book was released on 2005-05-06 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic games continue to attract strong interest from researchers interested in modelling competitive as well as conflict situations exhibiting an intertemporel aspect. Applications of dynamic games have proven to be a suitable methodology to study the behaviour of players (decision-makers) and to predict the outcome of such situations in many areas including engineering, economics, management science, military, biology and political science. Dynamic Games: Theory and Applications collects thirteen articles written by established researchers. It is an excellent reference for researchers and graduate students covering a wide range of emerging and revisited problems in both cooperative and non-cooperative games in different areas of applications, especially in economics and management science.

The Theory and Application of Differential Games

Author : NATO Advanced Study Institute Staff
Publisher : Springer Science & Business Media
ISBN 13 : 9401018049
Total Pages : 313 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis The Theory and Application of Differential Games by : NATO Advanced Study Institute Staff

Download or read book The Theory and Application of Differential Games written by NATO Advanced Study Institute Staff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ~irst international con~erence on differential games was held at Amherst, Massachusetts, in September 1969. A second meeting, partially supported by N.A.T.O., was held in Varenna, Italy, in June 1970. At these conferences many new theoretical results and applications, especially in economic problems, were presented. The present volume consists o~ the lectures presented at a N.A.T.O. Advanced Study Institute on the "Theory and Applications of Differential Games" held at the University of Warwick, Coventry, England, from 27th August to 6th September, 1974. The main contributions during the first week consisted of a survey of two person zero sum differential games by L. D. Berkovitz and four integrated lectures by R. J. Elliott and N. J. Kalton, who have made important contributions to the concept of "value" of a differential game. Applications were featured during the second week and included tactical air games, pursuit and evasion problems, as well as computational aspects. A closing lecture with historical perspectives was given by Rufus Issacs, the recognised pioneer of differential games theory.

Optimal Control and Differential Games

Author : Georges Zaccour
Publisher : Springer Science & Business Media
ISBN 13 : 1461510473
Total Pages : 242 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Optimal Control and Differential Games by : Georges Zaccour

Download or read book Optimal Control and Differential Games written by Georges Zaccour and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control and differential games continue to attract strong interest from researchers interested in dynamical problems and models in management science. This volume explores the application of these methodologies to new as well as to classical decision problems in management sciences and economics. In Part I, optimal control and dynamical systems approaches are used to analyze problems in areas such as monetary policy, pollution control, relationship marketing, drug control, debt financing, and ethical behavior. In Part II differential games are applied to problems such as oligopolistic competition, common resource management, spillovers in foreign direct investments, marketing channels, incentive strategies, and the computation of Markov perfect Nash equilibria. Optimal Control and Differential Games is an excellent reference for researchers and graduate students covering a wide range of emerging and revisited problems in management science.

Differential Games

Author : Rufus Isaacs
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (476 download)

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Book Synopsis Differential Games by : Rufus Isaacs

Download or read book Differential Games written by Rufus Isaacs and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations in Economics and Finance

Author : Suren Basov
Publisher : Nova Publishers
ISBN 13 : 9781600217067
Total Pages : 150 pages
Book Rating : 4.2/5 (17 download)

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Book Synopsis Partial Differential Equations in Economics and Finance by : Suren Basov

Download or read book Partial Differential Equations in Economics and Finance written by Suren Basov and published by Nova Publishers. This book was released on 2007 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the basic theory of partial differential equations of the first and second order and discusses their applications in economics and finance. It starts with well-known applications to consumer and producer theory, and to the theory of option pricing and then introduces new applications that emerge from current research (some of which is the author's own) in bounded rationality, game theory, and multi-dimensional screening.

Advances in Dynamic Game Theory

Author : Steffen Jorgensen
Publisher : Springer Science & Business Media
ISBN 13 : 0817645535
Total Pages : 722 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advances in Dynamic Game Theory by : Steffen Jorgensen

Download or read book Advances in Dynamic Game Theory written by Steffen Jorgensen and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of selected contributions gives an account of recent developments in dynamic game theory and its applications, covering both theoretical advances and new applications of dynamic games in such areas as pursuit-evasion games, ecology, and economics. Written by experts in their respective disciplines, the chapters include stochastic and differential games; dynamic games and their applications in various areas, such as ecology and economics; pursuit-evasion games; and evolutionary game theory and applications. The work will serve as a state-of-the art account of recent advances in dynamic game theory and its applications for researchers, practitioners, and advanced students in applied mathematics, mathematical finance, and engineering.