The Game's Afoot!

Game Theory in Myth and Paradox

Author: Alexander Mehlmann

Publisher: American Mathematical Soc.

ISBN: 0821821210

Category: Mathematics

Page: 159

View: 3645

It all started with von Neumann and Morgenstern half a century ago. Their Theory of Games and Economic Behavior gave birth to a whole new area of mathematics concerned with the formal problems of rational decision as experienced by multiple agents. Now, game theory is all around us, making its way even into regular conversations. In the present book, Mehlmann presents mathematical foundations and concepts illustrated via social quandaries, mock political battles, evolutionary confrontations, economic struggles, and literary conflict. Most of the standard models--the prisoners' dilemma, the arms race, evolution, duels, the game of chicken, etc.--are here. Many non-standard examples are also here: the Legend of Faust, shootouts in the movies, the Madness of Odysseus, to name a few. The author uses familiar formulas, fables, and paradoxes to guide readers through what he calls the ``hall of mirrors of strategic decision-making''. His light-hearted excursion into the world of strategic calculation shows that even deep insights into the nature of strategic thought can be elucidated by games, puzzles, and diversions. Originally written in German and published by Vieweg-Verlag, this AMS edition is a translation tailored for the English-speaking reader. It offers an intriguing look at myths and paradoxes through the lens of game theory, bringing the mathematics into sharper focus at the same time. This book is a must for those who wish to consider game theory from a different perspective: one that embraces science, literature, and real-life conflict. The Game's Afoot! would make an excellent book for an undergraduate course in game theory. It can also be used for independent study or as supplementary course reading. The connections to literature, films and everyday life also make it highly suitable as a text for a challenging course for non-majors. Its refreshing style and amusing combination of game theoretic analysis and cultural issues even make it appealing as recreational reading.
Posted in Mathematics

Game Theory

A Nontechnical Introduction to the Analysis of Strategy Third Edition

Author: Roger A McCain

Publisher: World Scientific Publishing Company

ISBN: 9814578894

Category: Mathematics

Page: 600

View: 8399

The objective of the third edition of Game Theory: A Nontechnical Introduction to the Analysis of Strategy is to introduce the ideas of game theory in a way that is approachable, intuitive, and interdisciplinary. Relying on the Karplus Learning Cycle, the book is intended to teach by example. Noncooperative equilibrium concepts such as Nash equilibrium play the central role. In this third edition, increased stress is placed on the concept of rationalizable strategies, which has proven in teaching practice to assist students in making the bridge from intuitive to more formal concepts of noncooperative equilibrium. The Instructor Manual and PowerPoint Slides for the book are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]
Posted in Mathematics

Game Theory

Author: Roger B. Myerson

Publisher: Harvard University Press

ISBN: 0674728629

Category: Business & Economics

Page: 584

View: 5199

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.
Posted in Business & Economics

Game Theory

Introduction and Applications

Author: Graham Romp

Publisher: Oxford University Press on Demand

ISBN: 0198775024

Category: Technology & Engineering

Page: 284

View: 8782

Covering all the essential topics for undergraduate courses, this is the ideal student introduction to game theory. The book sets out the basics of the subject in a non-technical way. All discussion and explanation is clear, well structured, and entirely accessible to students of both economics and business. In addition to describing and explaining the basic theory, Game Theory uses illustrations and examples to show its application to realistic, topical, and interesting problems-ranging from strategic decision-making within companies to international environmental policy-making. The book also features exercises with accompanying solutions to allow the student to check progress throughout the course, and a guide to further reading at the end of each chapter.
Posted in Technology & Engineering

Game Theory

A Critical Text

Author: Shaun Hargreaves Heap,Yanis Varoufakis

Publisher: Psychology Press

ISBN: 9780415250948

Category: Mathematics

Page: 369

View: 4596

Requiring no more than basic arithmetic, this book provides a careful and accessible introduction to the basic pillars of Game Theory, tracing its intellectual origins and philosophical premises.
Posted in Mathematics

Game Theory Topics

Incomplete Information, Repeated Games and N-Player Games

Author: Evelyn C. Fink,Scott Gates,Brian D. Humes

Publisher: SAGE

ISBN: 9780761910169

Category: Mathematics

Page: 69

View: 7629

Game theory, particularly the use of repeated games, N-person games, and incomplete information games have been popular research techniques in political science, sociology and management, but difficult for new social researchers to use until now. This book aims makes these topics accessible to all social scientists. Using a common social science game, Chicken, to illustrate the concepts, the book introduces readers to: games of incomplete information; how to build uncertainty into game theoretic models; the concept of Bayesian Nash equilibrium; and the role of repetition.
Posted in Mathematics

Game Theory: A Very Short Introduction

Author: Ken Binmore

Publisher: Oxford University Press

ISBN: 0199218463

Category: Business & Economics

Page: 184

View: 9031

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a ground-breaking field that analyzes how to play games in a rational way. Ken Binmore, a renowned game theorist, explains the theory in a way that is both entertaining and non-mathematical yet also deeply insightful, revealing how game theory can shed light on everything from social gatherings, to ethical decision-making, to successful card-playing strategies, to calculating the sex ratio among bees. With mini-biographies of many fascinating, and occasionally eccentric, founders of the subject--including John Nash, subject of the movie A Beautiful Mind--this book offers a concise overview of a cutting-edge field that has seen spectacular successes in evolutionary biology and economics, and is beginning to revolutionize other disciplines from psychology to political science. About the Series: Oxford's Very Short Introductions offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, and Literary Theory to History. Not simply a textbook of definitions, each volume provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given topic. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how it has developed and influenced society. Whatever the area of study, whatever the topic that fascinates the reader, the series has a handy and affordable guide that will likely prove indispensable.
Posted in Business & Economics

Game Theory

A Multi-Leveled Approach

Author: Hans Peters

Publisher: Springer

ISBN: 3662469502

Category: Mathematics

Page: 494

View: 6104

This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included.
Posted in Mathematics

Game Theory

Author: Drew Fudenberg,Jean Tirole

Publisher: MIT Press

ISBN: 9780262061414

Category: Business & Economics

Page: 579

View: 8253

This advanced text introduces the principles of noncooperative game theory in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. This advanced text introduces the principles of noncooperative game theory--including strategic form games, Nash equilibria, subgame perfection, repeated games, and games of incomplete information--in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.
Posted in Business & Economics

Game Theory

A Nontechnical Introduction

Author: Morton D. Davis

Publisher: Courier Corporation

ISBN: 9780486296722

Category: Mathematics

Page: 252

View: 8373

This fascinating, newly revised edition offers an overview of game theory, plus lucid coverage of two-person zero-sum game with equilibrium points; general, two-person zero-sum game; utility theory; and other topics.
Posted in Mathematics

Game Theory and Strategy

Author: Philip D. Straffin

Publisher: MAA

ISBN: 9780883856376

Category: Mathematics

Page: 244

View: 584

This book pays careful attention to applications of game theory in a wide variety of disciplines. The applications are treated in considerable depth. The book assumes only high school algebra, yet gently builds to mathematical thinking of some sophistication. Game Theory and Strategy might serve as an introduction to both axiomatic mathematical thinking and the fundamental process of mathematical modelling. It gives insight into both the nature of pure mathematics, and the way in which mathematics can be applied to real problems.
Posted in Mathematics

A Course in Game Theory

Author: Martin J. Osborne,Ariel Rubinstein

Publisher: MIT Press

ISBN: 9780262650403

Category: Business & Economics

Page: 352

View: 2368

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.
Posted in Business & Economics

Game Theory in International Economics

Author: John McMillan

Publisher: Psychology Press

ISBN: 9780415269094

Category: Business & Economics

Page: 103

View: 9868

This book gives an early demonstration of applications of game theory to international economics - applications that were to transform this area during the 1990s.
Posted in Business & Economics

Game Theory

A Comprehensive Introduction

Author: Hans Keiding

Publisher: World Scientific Publishing Company

ISBN: 9814623679

Category: Mathematics

Page: 320

View: 4809

This book is intended as an introduction to game theory which goes beyond the field of application, economics, and which introduces the reader to as many different sides of game theory as possible within the limitations of an introduction. The main goal is to give an impression of the diversity of game theoretical models, while at the same time covering the standard topics. The book has an equal coverage of non-cooperative and cooperative games, and it covers several topics such as selecting Nash equilibria, non-transferable utility games, applications of game theory to logic, combinatorial and differential games.
Posted in Mathematics

Game Theory

Decisions, Interaction and Evolution

Author: James N. Webb

Publisher: Springer Science & Business Media

ISBN: 9781846286360

Category: Mathematics

Page: 242

View: 9394

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.
Posted in Mathematics

Game Theory Evolving

A Problem-centered Introduction to Modeling Strategic Behavior

Author: Herbert Gintis

Publisher: Princeton University Press

ISBN: 9780691009438

Category: Political Science

Page: 531

View: 7717

The study of strategic action (game theory) is moving from a formal science of rational behavior to an evolutionary tool kit for studying behavior in a broad array of social settings. In this problem-oriented introduction to the field, Herbert Gintis exposes students to the techniques and applications of game theory through a wealth of sophisticated and surprisingly fun-to-solve problems involving human (and even animal) behavior. Game Theory Evolving is innovative in several ways. First, it reflects game theory's expansion into such areas as cooperation in teams, networks, the evolution and diffusion of preferences, the connection between biology and economics, artificial life simulations, and experimental economics. Second, the book--recognizing that students learn by doing and that most game theory texts are weak on problems--is organized around problems, and introduces principles through practice. Finally, the quality of the problems is simply unsurpassed, and each chapter provides a study plan for instructors interested in teaching evolutionary game theory. Reflecting the growing consensus that in many important contexts outside of anonymous markets, human behavior is not well described by classical "rationality," Gintis shows students how to apply game theory to model how people behave in ways that reflect the special nature of human sociality and individuality. This book is perfect for upper undergraduate and graduate economics courses as well as a terrific introduction for ambitious do-it-yourselfers throughout the behavioral sciences.
Posted in Political Science

Game Theory

Author: Guillermo Owen

Publisher: Emerald Group Publishing

ISBN: 1781905088

Category: Mathematics

Page: 500

View: 7798

Game Theory has served as a standard text for game theory courses since the publication of the First Edition in 1968. The Fourth Edition updates several recently developed subfields.
Posted in Mathematics

Game Theory

An Introduction

Author: Steven Tadelis

Publisher: Princeton University Press

ISBN: 1400845955

Category: Business & Economics

Page: 416

View: 2252

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
Posted in Business & Economics

Papers in Game Theory

Author: J.C. Harsanyi

Publisher: Springer Science & Business Media

ISBN: 9401725276

Category: Philosophy

Page: 260

View: 7825

This volume contains twelve of my game-theoretical papers, published in the period of 1956-80. It complements my Essays on Ethics, Social Behavior, and Scientific Explanation, Reidel, 1976, and my Rational Behavior and Bargaining Equilibrium in Games and Social Situations, Cambridge University Press, 1977. These twelve papers deal with a wide range of game-theoretical problems. But there is a common intellectual thread going though all of them: they are all parts of an attempt to generalize and combine various game-theoretical solution concepts into a unified solution theory yielding one-point solutions for both cooperative and noncooperative games, and covering even such 'non-classical' games as games with incomplete information. SECTION A The first three papers deal with bargaining models. The first one discusses Nash's two-person bargaining solution and shows its equivalence with Zeuthen's bargaining theory. The second considers the rationality postulates underlying the Nash-Zeuthen theory and defends it against Schelling's objections. The third extends the Shapley value to games without transferable utility and proposes a solution concept that is at the same time a generaliza tion of the Shapley value and of the Nash bargaining solution.
Posted in Philosophy

Game Theory

An Introduction

Author: E. N. Barron

Publisher: John Wiley & Sons

ISBN: 1118216938

Category: Business & Economics

Page: 555

View: 7072

This text confirms the role of mathematics in making logical and advantageous decisions and uses modern software applications to create, analyse, and implement effective decision-making models
Posted in Business & Economics