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

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

Author : Kolokoltsov Vasily N,Malafeyev Oleg A
Publisher : World Scientific Publishing Company
Page : 300 pages
File Size : 53,5 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.

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

Author : Vasily N Kolokoltsov,Oleg A Malafeyev
Publisher : World Scientific
Page : 411 pages
File Size : 41,5 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.

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

Author : Eric Steinhart
Publisher : Broadview Press
Page : 250 pages
File Size : 47,5 Mb
Release : 2017-10-30
Category : Philosophy
ISBN : 9781770486676

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

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.

Discrete–Time Stochastic Control and Dynamic Potential Games

Author : David González-Sánchez,Onésimo Hernández-Lerma
Publisher : Springer Science & Business Media
Page : 69 pages
File Size : 48,7 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.

Multi-Agent Systems and Applications III

Author : Vladimir Marik,Jörg Müller,Michal Pechoucek
Publisher : Springer
Page : 666 pages
File Size : 45,5 Mb
Release : 2003-08-03
Category : Computers
ISBN : 9783540450238

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Multi-Agent Systems and Applications III by Vladimir Marik,Jörg Müller,Michal Pechoucek Pdf

The refereed proceedings of the International Central and Eastern European Conference on Multi-Agent Systems, CEEMAS 2003, held in Prague, Czech Republic, in June 2003. The 58 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from 109 submissions. The papers are organized in topical sections on formal methods, social knowledge and meta-reasoning, negotiation, and policies, ontologies and languages, planning, coalitions, evolution and emergent behaviour, platforms, protocols, security, real-time and synchronization, industrial applications, e-business and virtual enterprises, and Web and mobile agents.

Game Theory

Author : E. N. Barron
Publisher : John Wiley & Sons
Page : 581 pages
File Size : 53,8 Mb
Release : 2024-06-26
Category : Business & Economics
ISBN : 9781394169115

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Game Theory by E. N. Barron Pdf

Authoritative and quantitative approach to modern game theory with applications from areas including economics, political science, computer science, and engineering Game Theory acknowledges the role of mathematics in making logical and advantageous decisions in adversarial situations and provides a balanced treatment of the subject that is both conceptual and applied. This newly updated and revised Third Edition streamlines the text to introduce readers to the basic theories behind games in a less technical but still mathematically rigorous way, with many new real-world examples from various fields of study, including economics, political science, military science, finance, biological science, and general game playing. The text introduces topics like repeated games, Bayesian equilibria, signaling games, bargaining games, evolutionary stable strategies, extensive games, and network and congestion games, which will be of interest across a wide range of disciplines. Separate sections in each chapter illustrate the use of Mathematica and Gambit software to create, analyze, and implement effective decision-making models. A companion website contains the related Mathematica and Gambit data sets and code. Solutions, hints, and methods used to solve most problems to enable self-learning are in an Appendix. Game Theory includes detailed information on: The von Neumann Minimax Theorem and methods for solving any 2-person zero sum matrix game. Two-person nonzero sum games solved for a Nash Equilibrium using nonlinear programming software or a calculus method. Nash Equilibria and Correlated Equilibria. Repeated games and punishment strategies to enforce cooperation Games in Extensive Form for solving Bayesian and perfect information games using Gambit. N-Person nonzero sum games, games with a continuum of strategies and many models in economics applications, duels, auctions, of Nash Equilibria, and the Stable Matching problem Coalitions and characteristic functions of cooperative games, an exact nucleolus for three-player games, bargaining Game theory in evolutionary processes and population games A trusted and proven guide for students of mathematics, engineering, and economics, the Third Edition of Game Theory is also an excellent resource for researchers and practitioners in economics, finance, engineering, operations research, statistics, and computer science.

Game Theory

Author : Roger A. McCain
Publisher : World Scientific
Page : 632 pages
File Size : 43,5 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.

Modern and Interdisciplinary Problems in Network Science

Author : Zengqiang Chen,Matthias Dehmer,Frank Emmert-Streib,Yongtang Shi
Publisher : CRC Press
Page : 276 pages
File Size : 53,8 Mb
Release : 2018-09-05
Category : Mathematics
ISBN : 9781351237284

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Modern and Interdisciplinary Problems in Network Science by Zengqiang Chen,Matthias Dehmer,Frank Emmert-Streib,Yongtang Shi Pdf

Modern and Interdisciplinary Problems in Network Science: A Translational Research Perspective covers a broad range of concepts and methods, with a strong emphasis on interdisciplinarity. The topics range from analyzing mathematical properties of network-based methods to applying them to application areas. By covering this broad range of topics, the book aims to fill a gap in the contemporary literature in disciplines such as physics, applied mathematics and information sciences.

Strategies and Games, second edition

Author : Prajit K. Dutta,Wouter Vergote
Publisher : MIT Press
Page : 713 pages
File Size : 55,9 Mb
Release : 2022-08-09
Category : Business & Economics
ISBN : 9780262046527

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Strategies and Games, second edition by Prajit K. Dutta,Wouter Vergote Pdf

The new edition of a widely used introduction to game theory and its applications, with a focus on economics, business, and politics. This widely used introduction to game theory is rigorous but accessible, unique in its balance between the theoretical and the practical, with examples and applications following almost every theory-driven chapter. In recent years, game theory has become an important methodological tool for all fields of social sciences, biology and computer science. This second edition of Strategies and Games not only takes into account new game theoretical concepts and applications such as bargaining and matching, it also provides an array of chapters on game theory applied to the political arena. New examples, case studies, and applications relevant to a wide range of behavioral disciplines are now included. The authors map out alternate pathways through the book for instructors in economics, business, and political science. The book contains four parts: strategic form games, extensive form games, asymmetric information games, and cooperative games and matching. Theoretical topics include dominance solutions, Nash equilibrium, Condorcet paradox, backward induction, subgame perfection, repeated and dynamic games, Bayes-Nash equilibrium, mechanism design, auction theory, signaling, the Shapley value, and stable matchings. Applications and case studies include OPEC, voting, poison pills, Treasury auctions, trade agreements, pork-barrel spending, climate change, bargaining and audience costs, markets for lemons, and school choice. Each chapter includes concept checks and tallies end-of-chapter problems. An appendix offers a thorough discussion of single-agent decision theory, which underpins game theory.

Game Theory Evolving

Author : Herbert Gintis
Publisher : Princeton University Press
Page : 409 pages
File Size : 46,7 Mb
Release : 2009-02-15
Category : Business & Economics
ISBN : 9780691140513

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Game Theory Evolving by Herbert Gintis Pdf

This revised edition contains new material & shows students how to apply game theory to model human behaviour in ways that reflect the special nature of sociality & individuality. It continues its in-depth look at cooperation in teams, agent-based simulations, experimental economics, & the evolution & diffusion of preferences.

Game Theory and Business Applications

Author : Kalyan Chatterjee,William Samuelson
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 53,6 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.

An Introductory Course on Mathematical Game Theory

Author : Julio González-Díaz,Ignacio García-Jurado,M. Gloria Fiestras-Janeiro
Publisher : American Mathematical Society
Page : 324 pages
File Size : 48,9 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.

Game Theory

Author : Leon A Petrosyan,Nikolay A Zenkevich
Publisher : World Scientific
Page : 564 pages
File Size : 52,8 Mb
Release : 2016-02-23
Category : Business & Economics
ISBN : 9789814725408

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Game Theory by Leon A Petrosyan,Nikolay A Zenkevich Pdf

Game theory is a branch of modern applied mathematics that aims to analyse various problems of conflict between parties that have opposed similar or simply different interests. Games are grouped into several classes according to some important features. In Game Theory (2nd Edition), Petrosyan and Zenkevich consider zero-sum two-person games, strategic N-person games in normal form, cooperative games, games in extensive form with complete and incomplete information, differential pursuit games and differential cooperative, and non-cooperative N-person games. The 2nd edition updates heavily from the 1st edition published in 1996. Contents:Matrix GamesInfinite Zero-Sum Two-Person GamesNonzero-Sum GamesCooperative GamesPositional GamesN-Person Differential GamesZero-Sum Differential Games Readership: Students in management science and mathematical economics. Keywords:Game Theory;Cooperative Differential Games;Decision Theory;Mathematical Economics Reviews of the First Edition: "This is a well-crafted textbook that covers a wide range of topics in the theory of decisions in situations of conflict, known also as game theory ... recommend it to anyone who wishes to master, or to teach, the mathematics of games." Mathematical Reviews "A distinctive feature of the book is its coverage of cooperative differential games. In this respect, the book is a welcome alternative or supplement to other existing books." Mathematics Abstracts

Adaptive Agents and Multi-Agent Systems III. Adaptation and Multi-Agent Learning

Author : Karl Tuyls,Ann Nowe,Zahia Guessoum,Daniel Kudenko
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 41,9 Mb
Release : 2008-02-08
Category : Computers
ISBN : 9783540779476

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Adaptive Agents and Multi-Agent Systems III. Adaptation and Multi-Agent Learning by Karl Tuyls,Ann Nowe,Zahia Guessoum,Daniel Kudenko Pdf

This book contains selected and revised papers of the European Symposium on Adaptive and Learning Agents and Multi-Agent Systems (ALAMAS), editions 2005, 2006 and 2007, held in Paris, Brussels and Maastricht. The goal of the ALAMAS symposia, and this associated book, is to increase awareness and interest in adaptation and learning for single agents and mul- agent systems, and encourage collaboration between machine learning experts, softwareengineeringexperts,mathematicians,biologistsandphysicists,andgive a representative overviewof current state of a?airs in this area. It is an inclusive forum where researchers can present recent work and discuss their newest ideas for a ?rst time with their peers. Thesymposiaseriesfocusesonallaspectsofadaptiveandlearningagentsand multi-agent systems, with a particular emphasis on how to modify established learning techniques and/or create new learning paradigms to address the many challenges presented by complex real-world problems. These symposia were a great success and provided a forum for the pres- tation of new ideas and results bearing on the conception of adaptation and learning for single agents and multi-agent systems. Over these three editions we received 51 submissions, of which 17 were carefully selected, including one invited paper of this year’s invited speaker Simon Parsons. This is a very c- petitive acceptance rate of approximately 31%, which, together with two review cycles, has led to a high-quality LNAI volume. We hope that our readers will be inspired by the papers included in this volume.

Game Theory and Public Policy, SECOND EDITION

Author : Roger A. McCain
Publisher : Edward Elgar Publishing
Page : 320 pages
File Size : 47,5 Mb
Release : 2015-11-25
Category : Business & Economics
ISBN : 9781784710903

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Game Theory and Public Policy, SECOND EDITION by Roger A. McCain Pdf

This book provides a critical, selective review of concepts from game theory and their applications in public policy, and further suggests some modifications for some of the models (chiefly in cooperative game theory) to improve their applicability to economics and public policy.