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Game theory and strategy / by Philip D. Straffin.
Author
Straffin, Philip D.
[Browse]
Format
Book
Language
English
Published/Created
Washington : Mathematical Association of America, [1993].
©1993
Description
x, 244 pages : illustrations ; 24 cm.
Availability
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA269 .S77 1993
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Lewis Library - Stacks
QA269 .S77 1993
Browse related items
Request
Lewis Library - Stacks
QA269 .S77 1993
Browse related items
Request
Lewis Library - Stacks
QA269 .S77 1993
Browse related items
Request
Details
Subject(s)
Game theory
[Browse]
Mathematical recreations
[Browse]
Games in mathematics education
[Browse]
Library of Congress genre(s)
Puzzles and games
[Browse]
Series
New mathematical library ; 36.
[More in this series]
New mathematical library ; 36
[More in this series]
Summary note
"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."-- Provided by publisher
Bibliographic references
Includes bibliographical references (p. [217]-224) and index.
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.
Show 33 more Contents items
ISBN
9781470471965 ((paperback reprint))
1470471965 ((paperback reprint))
0883856379
9780883856376
088385600X ((set))
9780883856000
LCCN
92064176
OCLC
29442393
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