Lectures on the theory of games / Harold W. Kuhn.

Format:

Book

Author/Creator:

Kuhn, Harold W. (Harold William), 1925-2014.

Series:

Annals of mathematics studies ; no. 37.

Annals of mathematics studies ; no. 37

Language:

English

Subjects (All):

Game theory.

Physical Description:

1 online resource (118 pages)

Edition:

Course Book

Place of Publication:

Princeton, N.J. : Princeton University Press, 2003.

Language Note:

English

Summary:

This book is a spectacular introduction to the modern mathematical discipline known as the Theory of Games. Harold Kuhn first presented these lectures at Princeton University in 1952. They succinctly convey the essence of the theory, in part through the prism of the most exciting developments at its frontiers half a century ago. Kuhn devotes considerable space to topics that, while not strictly the subject matter of game theory, are firmly bound to it. These are taken mainly from the geometry of convex sets and the theory of probability distributions. The book opens by addressing "matrix games," a name first introduced in these lectures as an abbreviation for two-person, zero-sum games in normal form with a finite number of pure strategies. It continues with a treatment of games in extensive form, using a model introduced by the author in 1950 that quickly supplanted von Neumann and Morgenstern's cumbersome approach. A final section deals with games that have an infinite number of pure strategies for the two players. Throughout, the theory is generously illustrated with examples, and exercises test the reader's understanding. A historical note caps off each chapter. For readers familiar with the calculus and with elementary matrix theory or vector analysis, this book offers an indispensable store of vital insights on a subject whose importance has only grown with the years.

Contents:

Frontmatter

Contents

Author's Note

Preface

Chapter 1. What Is the Theory of Games?

Chapter 2. Matrix Games

Chapter 3. Extensive Games

Chapter 4. Infinite Games

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786612159114

9781282159112

1282159119

9781400829569

1400829569

OCLC:

436089416