A Course in Game Theory

Author: Martin J. Osborne,Ariel Rubinstein

Publisher: MIT Press

ISBN: 9780262650403

Category: Business & Economics

Page: 352

View: 3597

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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.

A Course in Game Theory

Author: Martin J. Osborne,Ariel Rubinstein

Publisher: MIT Press

ISBN: 0262650401

Category: Business & Economics

Page: 352

View: 5042

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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.

A Course in Game Theory

Author: Martin J. Osborne,Ariel Rubinstein

Publisher: MIT Press

ISBN: 0262150417

Category: Business & Economics

Page: 352

View: 6449

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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.

A Course on Cooperative Game Theory

Author: Satya R. Chakravarty,Manipushpak Mitra,Palash Sarkar

Publisher: Cambridge University Press

ISBN: 1107058791

Category: Business & Economics

Page: 273

View: 1729

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"Deals with real life situations where objectives of the participants are partially cooperative and partially conflicting"--

Strategies and Games

Theory and Practice

Author: Prajit K. Dutta

Publisher: MIT Press

ISBN: 0262041693

Category: Business & Economics

Page: 476

View: 7993

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Game theory has become increasingly popular among undergraduate as well as business school students. This text is the first to provide both a complete theoretical treatment of the subject and a variety of real-world applications, primarily in economics, but also in business, political science, and the law. Strategies and Games grew out of Prajit Dutta's experience teaching a course in game theory over the last six years at Columbia University.The book is divided into three parts: Strategic Form Games and Their Applications, Extensive Form Games and Their Applications, and Asymmetric Information Games and Their Applications. The theoretical topics include dominance solutions, Nash equilibrium, backward induction, subgame perfect equilibrium, repeated games, dynamic games, Bayes-Nash equilibrium, mechanism design, auction theory, and signaling. An appendix presents a thorough discussion of single-agent decision theory, as well as the optimization and probability theory required for the course.Every chapter that introduces a new theoretical concept opens with examples and ends with a case study. Case studies include Global Warming and the Internet, Poison Pills, Treasury Bill Auctions, and Final Jeopardy. Each part of the book also contains several chapter-length applications including Bankruptcy Law, the NASDAQ market, OPEC, and the Commons problem. This is also the first text to provide a detailed analysis of dynamic strategic interaction.

An Introduction to Game Theory

Author: Martin J. Osborne

Publisher: Oxford University Press, USA

ISBN: 9780195322484

Category: Mathematics

Page: 533

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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.

Game Theory

An Introduction

Author: Steven Tadelis

Publisher: Princeton University Press

ISBN: 1400845955

Category: Business & Economics

Page: 416

View: 9115

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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

Game Theory for Applied Economists

Author: Robert Gibbons

Publisher: Princeton University Press

ISBN: 9781400835881

Category: Business & Economics

Page: 288

View: 9715

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This book introduces one of the most powerful tools of modern economics to a wide audience: those who will later construct or consume game-theoretic models. Robert Gibbons addresses scholars in applied fields within economics who want a serious and thorough discussion of game theory but who may have found other works overly abstract. Gibbons emphasizes the economic applications of the theory at least as much as the pure theory itself; formal arguments about abstract games play a minor role. The applications illustrate the process of model building--of translating an informal description of a multi-person decision situation into a formal game-theoretic problem to be analyzed. Also, the variety of applications shows that similar issues arise in different areas of economics, and that the same game-theoretic tools can be applied in each setting. In order to emphasize the broad potential scope of the theory, conventional applications from industrial organization have been largely replaced by applications from labor, macro, and other applied fields in economics. The book covers four classes of games, and four corresponding notions of equilibrium: static games of complete information and Nash equilibrium, dynamic games of complete information and subgame-perfect Nash equilibrium, static games of incomplete information and Bayesian Nash equilibrium, and dynamic games of incomplete information and perfect Bayesian equilibrium.

An Introductory Course on Mathematical Game Theory

Author: Julio González-Díaz,Ignacio García-Jurado,M. Gloria Fiestras-Janeiro

Publisher: American Mathematical Soc.

ISBN: 0821851519

Category: Mathematics

Page: 324

View: 7979

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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.

Essentials of Game Theory

A Concise Multidisciplinary Introduction

Author: Kevin Leyton-Brown,Yoav Shoham

Publisher: Morgan & Claypool Publishers

ISBN: 1598295942

Category: Computers

Page: 88

View: 1177

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Game theory is the mathematical study of interaction among independent, self-interested agents. The audience for game theory has grown dramatically in recent years, and now spans disciplines as diverse as political science, biology, psychology, economics, linguistics, sociology, and computer science, among others. What has been missing is a relatively short introduction to the field covering the common basis that anyone with a professional interest in game theory is likely to require. Such a text would minimize notation, ruthlessly focus on essentials, and yet not sacrifice rigor. This Synthesis Lecture aims to fill this gap by providing a concise and accessible introduction to the field. It covers the main classes of games, their representations, and the main concepts used to analyze them.

Game Theory, Alive

Author: Anna R. Karlin,Yuval Peres

Publisher: American Mathematical Soc.

ISBN: 1470419823

Category: Game theory

Page: 372

View: 2971

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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.

The Theory of Learning in Games

Author: Drew Fudenberg,David K. Levine

Publisher: MIT Press

ISBN: 9780262061940

Category: Business & Economics

Page: 276

View: 7336

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This work explains that equilibrium is the long-run outcome of a process in which non-fully rational players search for optimality over time. The models they e×plore provide a foundation for equilibrium theory and suggest ways for economists to evaluate and modify traditional equilibrium concepts.

Game Theory

Decisions, Interaction and Evolution

Author: James N. Webb

Publisher: Springer Science & Business Media

ISBN: 9781846286360

Category: Mathematics

Page: 242

View: 8806

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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.

Game Theory

Author: Roger B. Myerson

Publisher: Harvard University Press

ISBN: 0674728629

Category: Business & Economics

Page: 584

View: 2381

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Eminently suited to classroom use as well as individual study, Roger Myerson's introductory text provides a clear and thorough examination of the models, solution concepts, results, and methodological principles of noncooperative and cooperative game theory. Myerson introduces, clarifies, and synthesizes the extraordinary advances made in the subject over the past fifteen years, presents an overview of decision theory, and comprehensively reviews the development of the fundamental models: games in extensive form and strategic form, and Bayesian games with incomplete information.

Playing for Real

A Text on Game Theory

Author: Ken Binmore

Publisher: Oxford University Press

ISBN: 9780198041146

Category: Business & Economics

Page: 656

View: 9027

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Ken Binmore's previous game theory textbook, Fun and Games (D.C. Heath, 1991), carved out a significant niche in the advanced undergraduate market; it was intellectually serious and more up-to-date than its competitors, but also accessibly written. Its central thesis was that game theory allows us to understand many kinds of interactions between people, a point that Binmore amply demonstrated through a rich range of examples and applications. This replacement for the now out-of-date 1991 textbook retains the entertaining examples, but changes the organization to match how game theory courses are actually taught, making Playing for Real a more versatile text that almost all possible course designs will find easier to use, with less jumping about than before. In addition, the problem sections, already used as a reference by many teachers, have become even more clever and varied, without becoming too technical. Playing for Real will sell into advanced undergraduate courses in game theory, primarily those in economics, but also courses in the social sciences, and serve as a reference for economists.

Game Theory in Action

An Introduction to Classical and Evolutionary Models

Author: Stephen Schecter,Herbert Gintis

Publisher: Princeton University Press

ISBN: 1400880882

Category: Business & Economics

Page: 320

View: 8921

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Game Theory in Action is a textbook about using game theory across a range of real-life scenarios. From traffic accidents to the sex lives of lizards, Stephen Schecter and Herbert Gintis show students how game theory can be applied in diverse areas including animal behavior, political science, and economics. The book's examples and problems look at such fascinating topics as crime-control strategies, climate-change negotiations, and the power of the Oracle at Delphi. The text includes a substantial treatment of evolutionary game theory, where strategies are not chosen through rational analysis, but emerge by virtue of being successful. This is the side of game theory that is most relevant to biology; it also helps to explain how human societies evolve. Aimed at students who have studied basic calculus and some differential equations, Game Theory in Action is the perfect way to learn the concepts and practical tools of game theory. Aimed at students who have studied calculus and some differential equations Examples are drawn from diverse scenarios, ranging from traffic accidents to the sex lives of lizards A substantial treatment of evolutionary game theory Useful problem sets at the end of each chapter

Schelling's Game Theory

How to Make Decisions

Author: Robert Dodge

Publisher: OUP USA

ISBN: 0199857202

Category: Business & Economics

Page: 292

View: 5389

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Nobel Prize winner Thomas Schelling taught a course in game theory and rational choice to advanced students and government officials for 45 years. In this book, Robert Dodge provides in language for a broad audience the concepts that Schelling taught. Armed with Schelling's understanding of game theory methods and his approaches to problems, the general reader can improve daily decision making.

Game Theory

Interactive Strategies in Economics and Management

Author: Aviad Heifetz,Judith Yalon-Fortus

Publisher: Cambridge University Press

ISBN: 0521176042

Category: Business & Economics

Page: 448

View: 5715

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"Social interaction is essential to human life. How do people choose what to do when they encounter one another? And how do organizations, firms or countries interact? Game Theory is a modeling tool designed to represent and analyze such strategic interaction. The first part of this book is devoted to introducing the basic building blocks of game theory. The parties to the interaction are called players, the courses of actions available to them are their strategies, and the payoffs of each player from the various profiles of strategies (of all players) represent the way each player ranks the possible outcomes of the interaction from her own individual point of view"--

Game Theory

Author: Michael Maschler,Shmuel Zamir,Eilon Solan

Publisher: Cambridge University Press

ISBN: 1107005485

Category: Business & Economics

Page: 979

View: 5574

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A comprehensive introduction to game theory, incorporating exercises, examples and advanced topics.