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Game Theory And Partial Differential Equations
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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.
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.
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.
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.
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.
Book Synopsis Dynamic Noncooperative Game Theory by : Tamer Basar
Download or read book Dynamic Noncooperative Game Theory written by Tamer Basar and published by SIAM. This book was released on 1999-01-01 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.
Download or read book Game Theory written by E. N. Barron and published by John Wiley & Sons. This book was released on 2013-04-22 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set includes the following titles: Game Theory: An Introduction, 2nd Edition By: E. N. Barron , PhD ISBN 978-1-118-21693-4 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. This book demonstrates how to use modern software, such as Maple™, Mathematica®, and Gambit. Solutions Manual to Accompany Game Theory: An Introduction, 2nd Edition By: E. N. Barron, PhD ISBN: 978-1-118-27428-6 This book provides detailed solutions and explanations to the problems presented in Game Theory: An Introduction, Second Edition. It is a trusted guide and an excellent resource for professors of mathematics and economics and researchers in economics, finance, engineering, operations research, statistics, and computer science.
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 1999-01-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Game Theory in Action by : Stephen Schecter
Download or read book Game Theory in Action written by Stephen Schecter and published by Princeton University Press. This book was released on 2016-04-05 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential textbook for learning game theory strategies Game Theory in Action is a textbook about using game theory across a range of real-life scenarios. From traffic accidents to the sex lives of lizards, Stephen Schecter and Herbert Gintis show students how game theory can be applied in diverse areas including animal behavior, political science, and economics. The book's examples and problems look at such fascinating topics as crime-control strategies, climate-change negotiations, and the power of the Oracle at Delphi. The text includes a substantial treatment of evolutionary game theory, where strategies are not chosen through rational analysis, but emerge by virtue of being successful. This is the side of game theory that is most relevant to biology; it also helps to explain how human societies evolve. Aimed at students who have studied basic calculus and some differential equations, Game Theory in Action is the perfect way to learn the concepts and practical tools of game theory. Aimed at students who have studied calculus and some differential equations Examples are drawn from diverse scenarios, ranging from traffic accidents to the sex lives of lizards A substantial treatment of evolutionary game theory Useful problem sets at the end of each chapter
Book Synopsis Notes on Tug-of-War Games and the p-Laplace Equation by : Mikko Parviainen
Download or read book Notes on Tug-of-War Games and the p-Laplace Equation written by Mikko Parviainen and published by Springer Nature. This book was released on with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic and Differential Games by : Martino Bardi
Download or read book Stochastic and Differential Games written by Martino Bardi and published by . This book was released on 1999 with total page 380 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.
Book Synopsis Applied Differential Games by : A. Mehlmann
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 Mean Field Games written by Yves Achdou and published by Springer Nature. This book was released on 2021-01-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents. Besides giving an accessible presentation of the main features of mean-field game theory, the volume offers an overview of recent developments which explore several important directions: from partial differential equations to stochastic analysis, from the calculus of variations to modeling and aspects related to numerical methods. Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book collects together lecture notes prepared by Y. Achdou (with M. Laurière), P. Cardaliaguet, F. Delarue, A. Porretta and F. Santambrogio. These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.
Book Synopsis Cooperative Stochastic Differential Games by : David W.K. Yeung
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.
Book Synopsis Probabilistic Theory of Mean Field Games with Applications II by : René Carmona
Download or read book Probabilistic Theory of Mean Field Games with Applications II written by René Carmona and published by Springer. This book was released on 2018-03-08 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self-contained in nature and includes original material and applications with explicit examples throughout, including numerical solutions. Volume II tackles the analysis of mean field games in which the players are affected by a common source of noise. The first part of the volume introduces and studies the concepts of weak and strong equilibria, and establishes general solvability results. The second part is devoted to the study of the master equation, a partial differential equation satisfied by the value function of the game over the space of probability measures. Existence of viscosity and classical solutions are proven and used to study asymptotics of games with finitely many players. Together, both Volume I and Volume II will greatly benefit mathematical graduate students and researchers interested in mean field games. The authors provide a detailed road map through the book allowing different access points for different readers and building up the level of technical detail. The accessible approach and overview will allow interested researchers in the applied sciences to obtain a clear overview of the state of the art in mean field games.
Book Synopsis Geometry, Language And Strategy: The Dynamics Of Decision Processes - Volume 2 by : Gerald H Thomas
Download or read book Geometry, Language And Strategy: The Dynamics Of Decision Processes - Volume 2 written by Gerald H Thomas and published by World Scientific. This book was released on 2016-09-15 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume, Geometry, Language and Strategy, extended the concepts of Game Theory, replacing static equilibrium with a deterministic dynamic theory. The first volume opened up many applications that were only briefly touched on. To study the consequences of the deterministic approach in contrast to standard Bayesian approaches, the richness of applications, requires an engineering foundation and discipline, which this volume supplies. It provides a richer list of applications, such as the Prisoner's Dilemma, which extends the resonant behavior of Vol. 1 to more general time-dependent and transient behaviors.
Author :Kandethody M. Ramachandran Publisher :Springer Science & Business Media ISBN 13 :9491216473 Total Pages :253 pages Book Rating :4.4/5 (912 download)
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.
