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Dover Books on Mathematics Ser.: Game Theory : A Nontechnical Introduction by Morton D. Davis (1997, Trade Paperback)

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About this product

Product Identifiers

PublisherDover Publications, Incorporated

ISBN-100486296725

ISBN-139780486296722

eBay Product ID (ePID)176117

Product Key Features

Number of Pages288 Pages

LanguageEnglish

Publication NameGame Theory : a Nontechnical Introduction

Publication Year1997

SubjectGame Theory, Teaching Methods & Materials / Mathematics

FeaturesReprint

TypeTextbook

Subject AreaMathematics, Education

AuthorMorton D. Davis

SeriesDover Books on Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Weight12 Oz

Item Length8.5 in

Item Width5.5 in

Additional Product Features

Intended AudienceYoung Adult Audience

LCCN97-016147

Dewey Edition21

Dewey Decimal519.3

Table Of ContentForeword to the First Edition by Oskar Morgenstern Author's Introduction Acknowledgments 1. An Overview 2. "The Two-Person, Zero-Sum Game with Equilibrium Points" 3. "The General, Two-Person, Zero-Sum Game" 4. Utility Theory 5. "The Two-Person, Non-Zero-Sum Game" 6. The n-Person Game Bibliography Index

Edition DescriptionReprint

Synopsis"A lucid and penetrating development of game theory that will appeal to the intuition . . . a most valuable contribution." -- Douglas R. Hofstadter, author of Gödel, Escher, Bach The foundations of game theory were laid by John von Neumann, who in 1928 proved the basic minimax theorem, and with the 1944 publication of the Theory of Games and Economic Behavior, the field was established. Since then, game theory has become an enormously important discipline because of its novel mathematical properties and its many applications to social, economic, and political problems. Game theory has been used to make investment decisions, pick jurors, commit tanks to battle, allocate business expenses equitably -- even to measure a senator's power, among many other uses. In this revised edition of his highly regarded work, Morton Davis begins with an overview of game theory, then discusses the two-person zero-sum game with equilibrium points; the general, two-person zero-sum game; utility theory; the two-person, non-zero-sum game; and the n-person game. A number of problems are posed at the start of each chapter and readers are given a chance to solve them before moving on. (Unlike most mathematical problems, many problems in game theory are easily understood by the lay reader.) At the end of the chapter, where solutions are discussed, readers can compare their "common sense" solutions with those of the author. Brimming with applications to an enormous variety of everyday situations, this book offers readers a fascinating, accessible introduction to one of the most fruitful and interesting intellectual systems of our time., 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., "A lucid and penetrating development of game theory that will appeal to the intuition . . . a most valuable contribution." -- Douglas R. Hofstadter, author of G del, Escher, Bach The foundations of game theory were laid by John von Neumann, who in 1928 proved the basic minimax theorem, and with the 1944 publication of the Theory of Games and Economic Behavior, the field was established. Since then, game theory has become an enormously important discipline because of its novel mathematical properties and its many applications to social, economic, and political problems. Game theory has been used to make investment decisions, pick jurors, commit tanks to battle, allocate business expenses equitably -- even to measure a senator's power, among many other uses. In this revised edition of his highly regarded work, Morton Davis begins with an overview of game theory, then discusses the two-person zero-sum game with equilibrium points; the general, two-person zero-sum game; utility theory; the two-person, non-zero-sum game; and the n-person game. A number of problems are posed at the start of each chapter and readers are given a chance to solve them before moving on. (Unlike most mathematical problems, many problems in game theory are easily understood by the lay reader.) At the end of the chapter, where solutions are discussed, readers can compare their "common sense" solutions with those of the author. Brimming with applications to an enormous variety of everyday situations, this book offers readers a fascinating, accessible introduction to one of the most fruitful and interesting intellectual systems of our time.

LC Classification NumberQA269.D38 1997