Game Theory and Strategy.

Front Cover -- Game Theory and Strategy -- Copyright Page -- Note to the Reader -- New Mathematical Library -- Contents -- Preface -- Part I: Two-Person Zero-Sum Games -- Chapter 1. The Nature of Games -- Chapter 2. Matrix Games: Dominance and Saddle Points -- Chapter 3. Matrix Games: Mixed Strategies -- Chapter 4. Application to Anthropology: Jamaican Fishing -- Chapter 5. Application to Warfare: Guerrillas, Police, and Missiles -- Chapter 6. Application to Philosophy: Newcomb's Problem and Free Will -- Chapter 7. Game Trees -- Chapter 8. Application to Business: Competitive Decision Making -- Chapter 9. Utility Theory -- Chapter 10. Games Against Nature -- Part II: Two-Person Non-Zero-Sum Games -- Chapter 11. Nash Equilibria and Non-Cooperative Solutions -- Chapter 12. The Prisoner's Dilemma -- Chapter 13. Application to Social Psychology: Trust, Suspicion, and the F-Scale -- Chapter 14. Strategic Moves -- Chapter 15. Application to Biology: Evolutionarily Stable Strategies -- Chapter 16. The Nash Arbitration Scheme and Cooperative Solutions -- Chapter 17. Application to Business: Management-Labor Arbitration -- Chapter 18. Application to Economics: The Duopoly Problem -- Part III: N-Person Games -- Chapter 19. An Introduction to N-Person Games -- Chapter 20. Application to Politics: Strategic Voting -- Chapter 21. N-Person Prisoner's Dilemma -- Chapter 22. Application to Athletics: Prisoner's Dilemma and the Football Draft -- Chapter 23. Imputations, Domination, and Stable Sets -- Chapter 24. Application to Anthropology: Pathan Organization -- Chapter 25. The Core -- Chapter 26. The Shapley Value -- Chapter 27. Application to Politics: The Shapley-Shubik Power Index -- Chapter 28. Application to Politics: The Banzhaf Index and the Canadian Constitution -- Chapter 29. Bargaining Sets.

Chapter 30. Application to Politics: Parliamentary Coalitions -- Chapter 31. The Nucleolus and the Gately Point -- Chapter 32. Application to Economics: Cost Allocation in India -- Chapter 33. The Value of Game Theory -- Bibliography -- Answers to Exercises -- Index -- Back Cover.

This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals--or companies, or political parties, or nations--confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology.In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like "fairness" are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.