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Game Theory and Strategy : Mathematical Association of America Textbooks - Philip D. Straffin

Game Theory and Strategy

Mathematical Association of America Textbooks

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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.

'Game Theory and Strategy is an elegant, crystal-clear expository work. Key concepts are emphasized and clearly explained.' Nature

Two-Person Zero-Sum Games
The nature of games
Matrix games: dominance and saddle points
Matrix games: mixed strategies
Application to anthropology: Jamaican fishing
Application to warfare: guerillas, police, and missiles
Application to philosophy: Newcomb's problem and free will
Game trees
Application to business: competitive decision making
Utility theory
Games against nature
Two-Person Non-Zero-Sum Games
Nash equilibria and non-cooperative solutions
The prisoner's dilemma
Application to social psychology: trust, suspicion, and the F-Scale
Strategic moves
Application to biology: evolutionarily stable strategies
The Nash arbitration scheme and cooperative solutions
Application to business: management-labor arbitration
Application to economics: the duopoly problem
N-Person Games
An introduction to N-Person games
Applications to politics: strategic voting
N-Person prisoner's dilemma
Application to athletics: prisoner's dilemma and the football draft
Imputations, domination, and stable set
Application to anthropology: pathan organization
The core
The shapley value
Application to politics: the Shapley-Shubik power Index
Application to politics: the Banzhaf Index and the Canadian constitution
Bargaining sets
Application to politics: parliamentary coalitions
The nucleolus and the Gately point
Application to economics: cost allocations in India
The value of game theory
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780883856376
ISBN-10: 0883856379
Series: Mathematical Association of America Textbooks
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 254
Published: 5th September 1996
Country of Publication: US
Dimensions (cm): 22.8 x 15.2  x 1.7
Weight (kg): 0.35