Advances in Game Theory

by Melvin Dresher, Lloyd S. Shapley, 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:	9780691079028
Publisher:	Princeton University Press
Publication date:	06/21/1964
Series:	Annals of Mathematics Studies , #52
Pages:	691
Product dimensions:	5.90(w) x 9.00(h) x 1.90(d)

Table of Contents

• Frontmatter, pg. ii
• Preface, pg. v
• Contents, pg. ix
• 1. Some Topics in Two-Person Games, pg. 1
• 2. Games With a Random Move, pg. 29
• 3. A Search Game, pg. 39
• 4. The Rendezvous Value of a Metric Space, pg. 49
• 5. Generalized Gross Substitutability and Extremization, pg. 55
• 6. Adaptive Competitive Decision, pg. 69
• 7. Infinite Games of Perfect Information, pg. 85
• 8. Continuous Games of Perfect Information, pg. 103
• 9. A Theory of Pursuit and Evasion, pg. 113
• 10. A Variational Approach to Differential Games, pg. 127
• 11. A Differential Game Without Pure Strategy Solutions on an Open Set, pg. 175
• 12. The Convergence Problem for Differential Games, II, pg. 195
• 13. Markov Games, pg. 211
• 14. Homogeneous Games, III, pg. 255
• 15. Solutions of Compound Simple Games, pg. 267
• 16. The Tensor Composition of Nonnegative Games, pg. 307
• 17. On the Cardinality of Solutions of Four-Person Constant- Sum Games, pg. 327
• 18. The Doubly Discriminatory Solutions of the Four-Person Constant-Sum Game, pg. 345
• 19. Three-Person Cooperative Games Without Side Payments, pg. 377
• 20. Some Thoughts on the Theory of Cooperative Games, pg. 407
• 21. The Bargaining Set for Cooperative Games, pg. 443
• 22. Stable Payoff Configurations for Quota Games, pg. 477
• 23. On the Bargaining Set M0 of m-Quota Games, pg. 501
• 24. A Property of Stability Possessed by Certain Imputations, pg. 513
• 25. Coalition Bargaining in n-Person Games, pg. 531
• 26. The n-Person Bargaining Game, pg. 547
• 27. Valuation of n-Person Games, pg. 577
• 28. Mixed and Behavior Strategies in Infinite Extensive Games, pg. 627
• 29. A General Solution for Finite Noncooperative Games Based on Risk-Dominance, pg. 651