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 : 4.48/5 ( download)

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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.

Author : Vasily N Kolokoltsov
Publisher : World Scientific
ISBN 13 : 9811214875
Total Pages : 411 pages
Book Rating : 4.75/5 ( download)

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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.

Author : Julio González-Díaz
Publisher : American Mathematical Society
ISBN 13 : 1470465736
Total Pages : 324 pages
Book Rating : 4.35/5 ( download)

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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.

Author : David González-Sánchez
Publisher : Springer Science & Business Media
ISBN 13 : 331901059X
Total Pages : 81 pages
Book Rating : 4.95/5 ( download)

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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.

Author : Pierre Del Moral
Publisher : CRC Press
ISBN 13 : 146650417X
Total Pages : 624 pages
Book Rating : 4.72/5 ( download)

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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: This book presents the first comprehensive and modern mathematical treatment of these mean field particle models, including refined convergence analysis on nonlinear Markov chain models. It also covers applications related to parameter estimation in hidden Markov chain models, stochastic optimization, nonlinear filtering and multiple target tracking, stochastic optimization, calibration and uncertainty propagations in numerical codes, rare event simulation, financial mathematics, and free energy and quasi-invariant measures arising in computational physics and population biology.

Author : Roger A. McCain
Publisher : World Scientific
ISBN 13 : 9814289655
Total Pages : 632 pages
Book Rating : 4.58/5 ( download)

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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.

Author : Saul Mendoza-Palacios
Publisher : Cambridge University Press
ISBN 13 : 1009472291
Total Pages : 120 pages
Book Rating : 4.96/5 ( download)

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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.

Author : Vassili N. Kolokoltsov
Publisher : Walter de Gruyter
ISBN 13 : 3110250101
Total Pages : 449 pages
Book Rating : 4.07/5 ( download)

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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

Author : Diego Torricelli
Publisher : Frontiers Media SA
ISBN 13 : 2889632709
Total Pages : 217 pages
Book Rating : 4.01/5 ( download)

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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:

Author : Vassili N. Kolokoltsov
Publisher : Cambridge University Press
ISBN 13 : 1139489739
Total Pages : 394 pages
Book Rating : 4.37/5 ( download)

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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.