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

Author : Vasily N Kolokoltsov,Oleg A Malafeyev
Publisher : World Scientific
Page : 411 pages
File Size : 51,6 Mb
Release : 2020-08-21
Category : Mathematics
ISBN : 9789811214875

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Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition) by Vasily N Kolokoltsov,Oleg A Malafeyev Pdf

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.

Author : Kolokoltsov Vasily N,Malafeyev Oleg A
Publisher : World Scientific Publishing Company
Page : 300 pages
File Size : 46,8 Mb
Release : 2010-01-20
Category : Mathematics
ISBN : 9789813107748

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Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation by Kolokoltsov Vasily N,Malafeyev Oleg A Pdf

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.

Author : David González-Sánchez,Onésimo Hernández-Lerma
Publisher : Springer Science & Business Media
Page : 81 pages
File Size : 42,6 Mb
Release : 2013-09-20
Category : Science
ISBN : 9783319010595

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Discrete–Time Stochastic Control and Dynamic Potential Games by David González-Sánchez,Onésimo Hernández-Lerma Pdf

​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.

Author : Julio González-Díaz,Ignacio García-Jurado,M. Gloria Fiestras-Janeiro
Publisher : American Mathematical Society
Page : 324 pages
File Size : 50,9 Mb
Release : 2021-10-22
Category : Mathematics
ISBN : 9781470465735

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An Introductory Course on Mathematical Game Theory by Julio González-Díaz,Ignacio García-Jurado,M. Gloria Fiestras-Janeiro Pdf

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.

Author : Roger A. McCain
Publisher : World Scientific
Page : 632 pages
File Size : 49,6 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814289658

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Game Theory by Roger A. McCain Pdf

Fundamentals; Two-Person Games; Larger Numbers and Uncertainty; Games in Extensive Form and Repeated Play; Cooperation; Behavioral Game Theory; Selected Applications.

Author : Pierre Del Moral
Publisher : CRC Press
Page : 624 pages
File Size : 48,6 Mb
Release : 2013-05-20
Category : Mathematics
ISBN : 9781466504172

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Mean Field Simulation for Monte Carlo Integration by Pierre Del Moral Pdf

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

Author : Saul Mendoza-Palacios,Onésimo Hernández-Lerma
Publisher : Cambridge University Press
Page : 120 pages
File Size : 42,6 Mb
Release : 2024-06-06
Category : Business & Economics
ISBN : 9781009472296

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Evolutionary Games and the Replicator Dynamics by Saul Mendoza-Palacios,Onésimo Hernández-Lerma Pdf

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.

Author : Vassili N. Kolokoltsov
Publisher : Walter de Gruyter
Page : 449 pages
File Size : 51,7 Mb
Release : 2011
Category : Mathematics
ISBN : 9783110250107

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Markov Processes, Semigroups, and Generators by Vassili N. Kolokoltsov Pdf

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

Author : Diego Torricelli,Jan Veneman,Jose Gonzalez-Vargas,Katja Mombaur,C. David Remy
Publisher : Frontiers Media SA
Page : 217 pages
File Size : 42,5 Mb
Release : 2019-12-24
Category : Electronic
ISBN : 9782889632701

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Assessing Bipedal Locomotion: Towards Replicable Benchmarks for Robotic and Robot-Assisted Locomotion by Diego Torricelli,Jan Veneman,Jose Gonzalez-Vargas,Katja Mombaur,C. David Remy Pdf

Author : Vassili N. Kolokoltsov
Publisher : Cambridge University Press
Page : 394 pages
File Size : 51,5 Mb
Release : 2010-07-15
Category : Mathematics
ISBN : 9781139489737

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Nonlinear Markov Processes and Kinetic Equations by Vassili N. Kolokoltsov Pdf

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.

Author : Olusola Ogunnubi,Sheriff Folarin
Publisher : Rowman & Littlefield
Page : 317 pages
File Size : 44,9 Mb
Release : 2022-06-21
Category : Political Science
ISBN : 9781793645623

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Religion and Global Politics by Olusola Ogunnubi,Sheriff Folarin Pdf

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.

Author : Bezalel Peleg,Peter Sudhölter
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 40,8 Mb
Release : 2007-08-15
Category : Business & Economics
ISBN : 9783540729457

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Introduction to the Theory of Cooperative Games by Bezalel Peleg,Peter Sudhölter Pdf

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.

Author : Kalyan Chatterjee,William Samuelson
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 52,5 Mb
Release : 2013-06-26
Category : Business & Economics
ISBN : 9781461470953

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Game Theory and Business Applications by Kalyan Chatterjee,William Samuelson Pdf

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.

Author : Ferenc Forgó,J. Szép,Ferenc Szidarovszky
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 55,8 Mb
Release : 1999-05-31
Category : Business & Economics
ISBN : 0792357752

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Introduction to the Theory of Games by Ferenc Forgó,J. Szép,Ferenc Szidarovszky Pdf

Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering, and operations research. This book, besides covering the classical results of game theory, places special emphasis on methods of determining `solutions' of various game models. Generalizations reaching beyond the `convexity paradigm' and leading to nonconvex optimization problems are enhanced and discussed in more detail than in standard texts on this subject. The development is theoretical-mathematical interspersed with elucidating interpretations and examples. Audience: The material in the book is accessible to PhD and graduate students and will also be of interest to researchers. Solid knowledge of standard undergraduate mathematics is required to read the book.

Author : E. N. Barron
Publisher : John Wiley & Sons
Page : 437 pages
File Size : 50,9 Mb
Release : 2011-02-14
Category : Mathematics
ISBN : 9781118030653

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Game Theory by E. N. Barron Pdf

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.