Game Theory and Strategy
Part of Mathematical Association of America Textbooks
- Author: Philip D. Straffin, Jr, Beloit College, Wisconsin
- Date Published: September 1996
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
- format: Paperback
- isbn: 9780883856376
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This book pays careful attention to applications of game theory in a wide variety of disciplines. The applications are treated in considerable depth. The book assumes only high school algebra, yet gently builds to mathematical thinking of some sophistication. Game Theory and Strategy might serve as an introduction to both axiomatic mathematical thinking and the fundamental process of mathematical modelling. It gives insight into both the nature of pure mathematics, and the way in which mathematics can be applied to real problems.
Read more- Teaches mathematical modelling in a variety of contexts
- Wide ranging applications
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'Game Theory and Strategy is an elegant, crystal-clear expository work. Key concepts are emphasized and clearly explained.' Nature
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×Product details
- Date Published: September 1996
- format: Paperback
- isbn: 9780883856376
- length: 254 pages
- copublisher: The Mathematical Association of America
- dimensions: 229 x 154 x 17 mm
- weight: 0.35kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
Part I. Two-Person Zero-Sum Games:
1. The nature of games
2. Matrix games: dominance and saddle points
3. Matrix games: mixed strategies
4. Application to anthropology: Jamaican fishing
5. Application to warfare: guerillas, police, and missiles
6. Application to philosophy: Newcomb's problem and free will
7. Game trees
8. Application to business: competitive decision making
9. Utility theory
10. Games against nature
Part II. Two-Person Non-Zero-Sum Games:
11. Nash equilibria and non-cooperative solutions
12. The prisoner's dilemma
13. Application to social psychology: trust, suspicion, and the F-Scale
14. Strategic moves
15. Application to biology: evolutionarily stable strategies
16. The Nash arbitration scheme and cooperative solutions
17. Application to business: management-labor arbitration
18. Application to economics: the duopoly problem
Part III. N-Person Games:
19. An introduction to N-Person games
20. Applications to politics: strategic voting
21. N-Person prisoner's dilemma
22. Application to athletics: prisoner's dilemma and the football draft
23. Imputations, domination, and stable set
24. Application to anthropology: pathan organization
25. The core
26. The shapley value
27. Application to politics: the Shapley-Shubik power index
28. Application to politics: the Banzhaf index and the Canadian constitution
29. Bargaining sets
30. Application to politics: parliamentary coalitions
31. The nucleolus and the Gately point
32. Application to economics: cost allocations in India
33. The value of game theory.
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