Contributions to the Theory of Games (AM-24), Volume I

by Harold W. Kuhn, Albert William Tucker

Overview

A classic treatment of game theory from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

Product Details

ISBN-13:	9780691079349
Publisher:	Princeton University Press
Publication date:	12/21/1950
Series:	Annals of Mathematics Studies , #24
Pages:	404
Product dimensions:	8.25(w) x 11.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• PREFACE, pg. v
• CONTENTS, pg. xv
• 1. THE ELEMENTARY THEORY OF CONVEX POLYHEDRA, pg. 3
• 2. ELEMENTARY PROOF OF A MINIMAX THEOREM DUE TO VON NEUMANN, pg. 19
• 3. BASIC SOLUTIONS OF DISCRETE GAMES, pg. 27
• 4. SOLUTIONS OF FINITE TWO-PERSON GAMES, pg. 37
• 5. SOLUTIONS OF DISCRETE, TWO-PERSON GAMES, pg. 51
• 6. SOLUTIONS OF GAMES BY DIFFERENTIAL EQUATIONS, pg. 73
• 7. ON SYMMETRIC GAMES, pg. 81
• 8. REDUCTIONS OP GAME MATRICES, pg. 89
• 9. A SIMPLIFIED TWO-PERSON POKER, pg. 97
• 10. A SIMPLE THREE-PERSON POKER GAME, pg. 105
• 11. ISOMORPHISM OF GAMES, AND STRATEGIC EQUIVALENCE, pg. 117
• 12. OPERATOR TREATMENT OF MINMAX PRINCIPLE, pg. 133
• 13. ON A THEOREM OF VILLE, pg. 155
• 14. POLYNOMIAL GAMES, pg. 161
• 15. GAMES WITH CONTINUOUS, CONVEX PAY-OFF, pg. 181
• BIBLIOGRAPHY, pg. 193