Game Theory and Strategy, Volume 36

Front Cover
MAA, 1993 - Mathematics - 244 pages
3 Reviews
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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.
 

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User Review  - TurtleBoy - LibraryThing

Good book! Eminently readable, accessible to even the least experienced of undergraduates (math majors and non-math majors), and full of understandable distillations of realistic game theory ... Read full review

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Fundamental book for Game Theory.
Step by step explanation. easy to understand.

Contents

The Nature of Games
3
Dominance and Saddle Points
7
Mixed Strategies
13
Jamaican Fishing
23
Guerrillas Police and Missiles
27
Newcombs Problem and Free Will
32
Game Trees
37
Competitive Decision Making
44
The Duopoly Problem
118
NPerson Games
125
An Introduction to NPerson Games
127
Strategic Voting
134
NPerson Prisoners Dilemma
139
Prisoners Dilemma and the Football Draft
145
Imputations Domination and Stable Sets
150
Pathan Organization
161

Utility Theory
49
Games Against Nature
56
TwoPerson NonZeroSum Games
63
Nash Equilibria and NonCooperative Solutions
65
The Prisoners Dilemma
73
Trust Suspicion and the FScale
81
Strategic Moves
85
Evolutionarily Stable Strategies
93
The Nash Arbitration Scheme and Cooperative Solutions
102
ManagementLabor Arbitration
112
The Core
165
The Shapley Value
171
The ShapleyShubik Power Index
177
The Banzhaf Index and the Canadian Constitution
185
Bargaining Sets
190
Cost Allocation in India
209
Answers to Exercises
225
Index
241
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