Understanding Game Theory Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation

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Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation

Author : Kolokoltsov Vasily N
Publisher : World Scientific Publishing Company
ISBN 13 : 981310774X
Total Pages : 300 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation by : Kolokoltsov Vasily N

Download or read book Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation written by Kolokoltsov Vasily N and published by World Scientific Publishing Company. This book was released on 2010-01-20 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen.Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels. It includes an advanced material not yet reflected in standard textbooks, providing links with the exciting modern developments in financial mathematics (rainbow option pricing), tropical mathematics, statistical physics (interacting particles) and discusses structural stability, multi-criteria differential games and turnpikes.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.

Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition)

Author : Vasily N Kolokoltsov
Publisher : World Scientific
ISBN 13 : 9811214875
Total Pages : 411 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition) by : Vasily N Kolokoltsov

Download or read book Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition) written by Vasily N Kolokoltsov and published by World Scientific. This book was released on 2020-08-21 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.This new edition has been updated and enlarged. In particular, two new chapters were added on statistical limit of games with many agents and on quantum games, reflecting possibly the two most stunning trends in the game theory of the 21st century.

An Introductory Course on Mathematical Game Theory

Author : Julio González-Díaz
Publisher : American Mathematical Society
ISBN 13 : 1470465736
Total Pages : 324 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Introductory Course on Mathematical Game Theory by : Julio González-Díaz

Download or read book An Introductory Course on Mathematical Game Theory written by Julio González-Díaz and published by American Mathematical Society. This book was released on 2021-10-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.

Discrete–Time Stochastic Control and Dynamic Potential Games

Author : David González-Sánchez
Publisher : Springer Science & Business Media
ISBN 13 : 331901059X
Total Pages : 81 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Discrete–Time Stochastic Control and Dynamic Potential Games by : David González-Sánchez

Download or read book Discrete–Time Stochastic Control and Dynamic Potential Games written by David González-Sánchez and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are several techniques to study noncooperative dynamic games, such as dynamic programming and the maximum principle (also called the Lagrange method). It turns out, however, that one way to characterize dynamic potential games requires to analyze inverse optimal control problems, and it is here where the Euler equation approach comes in because it is particularly well–suited to solve inverse problems. Despite the importance of dynamic potential games, there is no systematic study about them. This monograph is the first attempt to provide a systematic, self–contained presentation of stochastic dynamic potential games.

Mean Field Simulation for Monte Carlo Integration

Author : Pierre Del Moral
Publisher : CRC Press
ISBN 13 : 146650417X
Total Pages : 624 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Mean Field Simulation for Monte Carlo Integration by : Pierre Del Moral

Download or read book Mean Field Simulation for Monte Carlo Integration written by Pierre Del Moral and published by CRC Press. This book was released on 2013-05-20 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last three decades, there has been a dramatic increase in the use of interacting particle methods as a powerful tool in real-world applications of Monte Carlo simulation in computational physics, population biology, computer sciences, and statistical machine learning. Ideally suited to parallel and distributed computation, these advanced par

Game Theory

Author : Roger A. McCain
Publisher : World Scientific
ISBN 13 : 9814289655
Total Pages : 632 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Game Theory by : Roger A. McCain

Download or read book Game Theory written by Roger A. McCain and published by World Scientific. This book was released on 2010 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals; Two-Person Games; Larger Numbers and Uncertainty; Games in Extensive Form and Repeated Play; Cooperation; Behavioral Game Theory; Selected Applications.

Evolutionary Games and the Replicator Dynamics

Author : Saul Mendoza-Palacios
Publisher : Cambridge University Press
ISBN 13 : 1009472291
Total Pages : 120 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Evolutionary Games and the Replicator Dynamics by : Saul Mendoza-Palacios

Download or read book Evolutionary Games and the Replicator Dynamics written by Saul Mendoza-Palacios and published by Cambridge University Press. This book was released on 2024-06-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element introduces the replicator dynamics for symmetric and asymmetric games where the strategy sets are metric spaces. Under this hypothesis the replicator dynamics evolves in a Banach space of finite signed measures. The authors provide a general framework to study the stability of the replicator dynamics for evolutionary games in this Banach space. This allows them to establish a relation between Nash equilibria and the stability of the replicator for normal a form games applicable to oligopoly models, theory of international trade, public good models, the tragedy of commons, and War of attrition game among others. They also provide conditions to approximate the replicator dynamics on a space of measures by means of a finite-dimensional dynamical system and a sequence of measure-valued Markov processes.

Markov Processes, Semigroups, and Generators

Author : Vassili N. Kolokoltsov
Publisher : Walter de Gruyter
ISBN 13 : 3110250101
Total Pages : 449 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Markov Processes, Semigroups, and Generators by : Vassili N. Kolokoltsov

Download or read book Markov Processes, Semigroups, and Generators written by Vassili N. Kolokoltsov and published by Walter de Gruyter. This book was released on 2011 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of applications, in exact sciences as well as in other areas like social studies, require a volume that offers a refresher on fundamentals before conveying the Markov processes and examples for

Assessing Bipedal Locomotion: Towards Replicable Benchmarks for Robotic and Robot-Assisted Locomotion

Author : Diego Torricelli
Publisher : Frontiers Media SA
ISBN 13 : 2889632709
Total Pages : 217 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Assessing Bipedal Locomotion: Towards Replicable Benchmarks for Robotic and Robot-Assisted Locomotion by : Diego Torricelli

Download or read book Assessing Bipedal Locomotion: Towards Replicable Benchmarks for Robotic and Robot-Assisted Locomotion written by Diego Torricelli and published by Frontiers Media SA. This book was released on 2019-12-24 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Markov Processes and Kinetic Equations

Author : Vassili N. Kolokoltsov
Publisher : Cambridge University Press
ISBN 13 : 1139489739
Total Pages : 394 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Nonlinear Markov Processes and Kinetic Equations by : Vassili N. Kolokoltsov

Download or read book Nonlinear Markov Processes and Kinetic Equations written by Vassili N. Kolokoltsov and published by Cambridge University Press. This book was released on 2010-07-15 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: A nonlinear Markov evolution is a dynamical system generated by a measure-valued ordinary differential equation with the specific feature of preserving positivity. This feature distinguishes it from general vector-valued differential equations and yields a natural link with probability, both in interpreting results and in the tools of analysis. This brilliant book, the first devoted to the area, develops this interplay between probability and analysis. After systematically presenting both analytic and probabilistic techniques, the author uses probability to obtain deeper insight into nonlinear dynamics, and analysis to tackle difficult problems in the description of random and chaotic behavior. The book addresses the most fundamental questions in the theory of nonlinear Markov processes: existence, uniqueness, constructions, approximation schemes, regularity, law of large numbers and probabilistic interpretations. Its careful exposition makes the book accessible to researchers and graduate students in stochastic and functional analysis with applications to mathematical physics and systems biology.

Religion and Global Politics

Author : Olusola Ogunnubi
Publisher : Rowman & Littlefield
ISBN 13 : 1793645620
Total Pages : 317 pages
Book Rating : 4.7/5 (936 download)

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Book Synopsis Religion and Global Politics by : Olusola Ogunnubi

Download or read book Religion and Global Politics written by Olusola Ogunnubi and published by Rowman & Littlefield. This book was released on 2022-06-21 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Religion and Global Politics: Soft Power in Nigeria and Beyond examines the deployment of religious soft power in African states and the potential it has for transforming perceptions of the continent. The contributors refocus the attention on religion away from the ‘misery’ discourse of conflict and violence towards the domain of international relations, diplomacy and foreign policy in Africa. Through this shift, the contributors analyze the ways in which religion has impacted the external relations of African states. Religion and Global Politics introduces the theme of religion to the discourse of African international relations and politics to provide a thorough examination of religion’s influence on politics in the daily lives of African people.

Game Theory

Author : Roger A McCain
Publisher : World Scientific Publishing Company
ISBN 13 : 9814578894
Total Pages : 600 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Game Theory by : Roger A McCain

Download or read book Game Theory written by Roger A McCain and published by World Scientific Publishing Company. This book was released on 2014-04-29 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of the third edition of Game Theory: A Nontechnical Introduction to the Analysis of Strategy is to introduce the ideas of game theory in a way that is approachable, intuitive, and interdisciplinary. Relying on the Karplus Learning Cycle, the book is intended to teach by example. Noncooperative equilibrium concepts such as Nash equilibrium play the central role. In this third edition, increased stress is placed on the concept of rationalizable strategies, which has proven in teaching practice to assist students in making the bridge from intuitive to more formal concepts of noncooperative equilibrium. The Instructor Manual and PowerPoint Slides for the book are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected].

Game Theory

Author : E. N. Barron
Publisher : John Wiley & Sons
ISBN 13 : 1118030656
Total Pages : 437 pages
Book Rating : 4.1/5 (18 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 2011-02-14 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental introduction to modern game theory from a mathematical viewpoint Game theory arises in almost every fact of human and inhuman interaction since oftentimes during these communications objectives are opposed or cooperation is viewed as an option. From economics and finance to biology and computer science, researchers and practitioners are often put in complex decision-making scenarios, whether they are interacting with each other or working with evolving technology and artificial intelligence. Acknowledging the role of mathematics in making logical and advantageous decisions, Game Theory: An Introduction uses modern software applications to create, analyze, and implement effective decision-making models. While most books on modern game theory are either too abstract or too applied, this book provides a balanced treatment of the subject that is both conceptual and hands-on. Game Theory introduces readers to the basic theories behind games and presents real-world examples from various fields of study such as economics, political science, military science, finance, biological science as well as general game playing. A unique feature of this book is the use of Maple to find the values and strategies of games, and in addition, it aids in the implementation of algorithms for the solution or visualization of game concepts. Maple is also utilized to facilitate a visual learning environment of game theory and acts as the primary tool for the calculation of complex non-cooperative and cooperative games. Important game theory topics are presented within the following five main areas of coverage: Two-person zero sum matrix games Nonzero sum games and the reduction to nonlinear programming Cooperative games, including discussion of both the Nucleolus concept and the Shapley value Bargaining, including threat strategies Evolutionary stable strategies and population games Although some mathematical competence is assumed, appendices are provided to act as a refresher of the basic concepts of linear algebra, probability, and statistics. Exercises are included at the end of each section along with algorithms for the solution of the games to help readers master the presented information. Also, explicit Maple and Mathematica® commands are included in the book and are available as worksheets via the book's related Web site. The use of this software allows readers to solve many more advanced and interesting games without spending time on the theory of linear and nonlinear programming or performing other complex calculations. With extensive examples illustrating game theory's wide range of relevance, this classroom-tested book is ideal for game theory courses in mathematics, engineering, operations research, computer science, and economics at the upper-undergraduate level. It is also an ideal companion for anyone who is interested in the applications of game theory.

More Precisely: The Math You Need to Do Philosophy - Second Edition

Author : Eric Steinhart
Publisher : Broadview Press
ISBN 13 : 1770486674
Total Pages : 250 pages
Book Rating : 4.7/5 (74 download)

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Book Synopsis More Precisely: The Math You Need to Do Philosophy - Second Edition by : Eric Steinhart

Download or read book More Precisely: The Math You Need to Do Philosophy - Second Edition written by Eric Steinhart and published by Broadview Press. This book was released on 2017-10-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.

Introduction to the Theory of Cooperative Games

Author : Bezalel Peleg
Publisher : Springer Science & Business Media
ISBN 13 : 3540729453
Total Pages : 336 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Introduction to the Theory of Cooperative Games by : Bezalel Peleg

Download or read book Introduction to the Theory of Cooperative Games written by Bezalel Peleg and published by Springer Science & Business Media. This book was released on 2007-08-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games as well as the core, the Shapley value, and the ordinal bargaining set of NTU games. The authors devote a separate chapter to each solution, wherein they study its properties in full detail. In addition, important variants are defined or even intensively analyzed.

Game Theory and Business Applications

Author : Kalyan Chatterjee
Publisher : Springer Science & Business Media
ISBN 13 : 1461470951
Total Pages : 407 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Game Theory and Business Applications by : Kalyan Chatterjee

Download or read book Game Theory and Business Applications written by Kalyan Chatterjee and published by Springer Science & Business Media. This book was released on 2013-06-26 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory has been applied to a growing list of practical problems, from antitrust analysis to monetary policy; from the design of auction institutions to the structuring of incentives within firms; from patent races to dispute resolution. The purpose of Game Theory and Business Applications is to show how game theory can be used to model and analyze business decisions. The contents of this revised edition contain a wide variety of business functions – from accounting to operations, from marketing to strategy to organizational design. In addition, specific application areas include market competition, law and economics, bargaining and dispute resolution, and competitive bidding. All of these applications involve competitive decision settings, specifically situations where a number of economic agents in pursuit of their own self-interests and in accordance with the institutional “rules of the game” take actions that together affect all of their fortunes. As this volume demonstrates, game theory provides a compelling guide for analyzing business decisions and strategies.

Analyzing Strategic Behavior in Business and Economics

Author : Thomas J. Webster
Publisher : Lexington Books
ISBN 13 : 0739186051
Total Pages : 287 pages
Book Rating : 4.7/5 (391 download)

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Book Synopsis Analyzing Strategic Behavior in Business and Economics by : Thomas J. Webster

Download or read book Analyzing Strategic Behavior in Business and Economics written by Thomas J. Webster and published by Lexington Books. This book was released on 2014-02-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to game theory, which is the systematic analysis of decision-making in interactive settings. Game theory can be of great value to business managers. The ability to correctly anticipate countermove by rival firms in competitive and cooperative settings enables managers to make more effective marketing, advertising, pricing, and other business decisions to optimally achieve the firm’s objectives. Game theory does not always accurately predict how rivals will act in strategic situations, but does identify a decision maker’s best response to situations involving move and countermove. As Nobel Prize winner Thomas Shelling noted: “We may wish to understand how participants actually do conduct themselves in conflict situations; an understanding of the ‘correct’ play may give us a bench mark for the study of actual behavior.” The concise and axiomatic approach to the material presented in this textbook is easily accessible to students with a background in the principles of microeconomics and college mathematics. The selection and organizations of topics makes the textbook appropriate for use in a wide range of curricula by students with different backgrounds.