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Author:   Harold W. Kuhn
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Volume:   166
Dimensions:   Width: 15.20cm , Height: 0.90cm , Length: 23.50cm
Weight:   0.170kg
ISBN:  

9780691027722

ISBN 10:   0691027722
Pages:   120
Publication Date:   26 January 2003
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Author's Note vii Preface ix Chapter 1. What Is the Theory of Games? 1 Notes 3 Chapter 2. Matrix Games 5 2.1 Two Examples 5 2.2 The Definition of a Matrix Game 9 2.3 The Fundamental Theorem for 2 x 2 Matrix Games 10 2.4 The Geometry of Convex Sets 12 2.5 Fundamental Theorem for All Matrix Games 21 2.6 A Graphical Method of Solution 24 2.7 An Algorithm for Solving All Matrix Games 28 2.8 Simplified Poker 36 Notes 45 Appendix 48 Chapter 3. Extensive Games 59 3.1 Some Preliminary Restrictions 59 3.2 The Axiom System 59 3.3 Pure and Mixed Strategies 64 3.4 Games with Perfect Information 66 3.5 A Reduction of the Game Matrix 67 3.6 An Instructive Example 70 3.7 Behavior Strategies and Perfect Recall 72 3.8 Simplified Poker Reconsidered 77 Notes 78 Chapter 4. Infinite Games 81 4.1 Some Preliminary Restrictions 81 4.2 An Illuminating Example 81 4.3 Mixed Strategies and Expectation 83 4.4 The Battle of the Maxmin versus Supinf 88 4.5 The Fundamental Theorem 92 4.6 The Solution of Games on the Unit Square 94 Notes 103 Index 105

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Author Information

Harold W. Kuhn is Professor Emeritus of Mathematics at Princeton University. Joint winner of the 1980 von Neumann Prize in Theory, he is internationally known for co-authoring a paper that initiated the theory of ""nonlinear programming."" Kuhn is the editor or coeditor of several books (all Princeton), including The Essential John Nash, Classics in Game Theory, Linear Inequalities and Related Systems, and Contributions to the Theory of Games, I and II.

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