An Introductory Course On Mathematical Game Theory And Applications

Author : Julio González-Díaz,Ignacio García-Jurado,M. Gloria Fiestras-Janeiro
Publisher : American Mathematical Society
Page : 324 pages
File Size : 49,5 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 : Julio González-Díaz,Ignacio García-Jurado,M. Gloria Fiestras-Janeiro
Publisher : American Mathematical Society
Page : 432 pages
File Size : 46,7 Mb
Release : 2023-12-05
Category : Mathematics
ISBN : 9781470475635

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An Introductory Course on Mathematical Game Theory and Applications 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 psychology, computer science, artificial intelligence, biology, and political 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. In this second edition, the content on cooperative games is considerably strengthened, with a new chapter on applications of cooperative games and operations research, including some material on computational aspects and applications outside academia.

Author : Julio González-Díaz,Ignacio García-Jurado,M. Gloria Fiestras-Janeiro
Publisher : American Mathematical Soc.
Page : 342 pages
File Size : 42,8 Mb
Release : 2010
Category : Game theory
ISBN : 9780821851517

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

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. It provides a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated with abundant examples, applications, and exercises.

Author : Vladimir Mazalov
Publisher : John Wiley & Sons
Page : 430 pages
File Size : 53,9 Mb
Release : 2014-10-06
Category : Mathematics
ISBN : 9781118899625

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Mathematical Game Theory and Applications by Vladimir Mazalov Pdf

Mathematical Game Theory and Applications Mathematical Game Theory and Applications An authoritative and quantitative approach to modern game theory with applications from economics, political science, military science and finance. Mathematical Game Theory and Applications combines both the theoretical and mathematical foundations of game theory with a series of complex applications along with topics presented in a logical progression to achieve a unified presentation of research results. This book covers topics such as two-person games in strategic form, zero-sum games, N-person non-cooperative games in strategic form, two-person games in extensive form, parlor and sport games, bargaining theory, best-choice games, co-operative games and dynamic games. Several classical models used in economics are presented which include Cournot, Bertrand, Hotelling and Stackelberg as well as coverage of modern branches of game theory such as negotiation models, potential games, parlor games and best choice games. Mathematical Game Theory and Applications: Presents a good balance of both theoretical foundations and complex applications of game theory. Features an in-depth analysis of parlor and sport games, networking games, and bargaining models. Provides fundamental results in new branches of game theory, best choice games, network games and dynamic games. Presents numerous examples and exercises along with detailed solutions at the end of each chapter. Is supported by an accompanying website featuring course slides and lecture content. Covering a host of important topics, this book provides a research springboard for graduate students and a reference for researchers who might be working in the areas of applied mathematics, operations research, computer science or economical cybernetics.

Author : Matt DeVos,Deborah A. Kent
Publisher : American Mathematical Soc.
Page : 343 pages
File Size : 50,8 Mb
Release : 2016-12-27
Category : Combinatorial analysis
ISBN : 9781470422103

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Matt DeVos and Deborah A. Kent by Matt DeVos,Deborah A. Kent Pdf

This book offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. Designed as a textbook for an undergraduate mathematics class and with ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.

Author : Stef Tijs
Publisher : Springer
Page : 187 pages
File Size : 45,9 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 9789386279170

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Introduction to Game Theory by Stef Tijs Pdf

Author : Martin J. Osborne
Publisher : Oxford University Press, USA
Page : 533 pages
File Size : 41,5 Mb
Release : 2009-01
Category : Mathematics
ISBN : 0195322487

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An Introduction to Game Theory by Martin J. Osborne Pdf

This text emphasizes the ideas behind modern game theory rather than their mathematical expression, but defines all concepts precisely. It covers strategic, extensive and coalitional games and includes the topics of repeated games, bargaining theory and evolutionary equilibrium.

Author : Steve Tadelis
Publisher : Princeton University Press
Page : 416 pages
File Size : 55,9 Mb
Release : 2013-01-06
Category : Business & Economics
ISBN : 9780691129082

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Game Theory by Steve Tadelis Pdf

The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students

Author : Martin J. Osborne,Ariel Rubinstein
Publisher : MIT Press
Page : 374 pages
File Size : 41,5 Mb
Release : 1994-07-12
Category : Business & Economics
ISBN : 0262650401

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A Course in Game Theory by Martin J. Osborne,Ariel Rubinstein Pdf

A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises.

Author : Michael Mesterton-Gibbons,Mike Mesterton-Gibbons
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 51,6 Mb
Release : 2001
Category : Game theory
ISBN : 9780821819296

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An Introduction to Game-Theoretic Modelling by Michael Mesterton-Gibbons,Mike Mesterton-Gibbons Pdf

This is an introduction to game theory and applications with an emphasis on self-discovery from the perspective of a mathematical modeller. The book deals in a unified manner with the central concepts of both classical and evolutionary game theory. The key ideas are illustrated throughout by a wide variety of well-chosen examples of both human and non-human behavior, including car pooling, price fixing, food sharing, sex allocation and competition for territories or oviposition sites. There are numerous exercises with solutions.

Author : James N. Webb
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 47,6 Mb
Release : 2007-03-06
Category : Mathematics
ISBN : 9781846286360

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Game Theory by James N. Webb Pdf

The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it will also interest advanced students or researchers in biology and economics.

Author : Elliott Mendelson
Publisher : CRC Press
Page : 272 pages
File Size : 53,6 Mb
Release : 2016-02-03
Category : Mathematics
ISBN : 9781482285871

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Introducing Game Theory and its Applications by Elliott Mendelson Pdf

The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. In

Author : A. J. Jones
Publisher : Horwood Publishing
Page : 304 pages
File Size : 42,8 Mb
Release : 2000-12
Category : Mathematics
ISBN : 1898563144

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Game Theory by A. J. Jones Pdf

This modern, still relevant text is suitable for senior undergraduate and graduate students, teachers and professionals in mathematics, operational research, economics, sociology; and psychology, defence and strategic studies, and war games. Engagingly written with agreeable humor, the book can also be understood by non-mathematicians. It shows basic ideas of extensive form, pure and mixed strategies, the minimax theorem, non-cooperative and co-operative games, and a ''first class'' account of linear programming, theory and practice. The text is self-contained with comprehensive source references. Based on a series of lectures given by the author in the theory of games at Royal Holloway College, it gives unusually comprehensive but concise treatment of co-operative games, an original account of bargaining models, with a skilfully guided tour through the Shapely and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies.

Author : João P. Hespanha
Publisher : Princeton University Press
Page : 242 pages
File Size : 46,7 Mb
Release : 2017-06-13
Category : Mathematics
ISBN : 9780691175218

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Noncooperative Game Theory by João P. Hespanha Pdf

Noncooperative Game Theory is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. João Hespanha shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to "the game" solve the original design problem? Using the fundamentals of game theory, Hespanha explores these issues and more. The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria—such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, Hespanha examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty—the unforgiving variable that can wreck engineering designs. Hespanha looks at such standard topics as zero-sum, non-zero-sum, and dynamics games and includes a MATLAB guide to coding. Noncooperative Game Theory offers students a fresh way of approaching engineering and computer science applications. An introduction to game theory applications for students of engineering and computer science Materials presented sequentially and in an easy-to-understand fashion Topics explore zero-sum, non-zero-sum, and dynamics games MATLAB commands are included

Author : Anna R. Karlin,Yuval Peres
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 44,5 Mb
Release : 2017-04-27
Category : Game theory
ISBN : 9781470419820

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Game Theory, Alive by Anna R. Karlin,Yuval Peres Pdf

We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.