Game Theory and Strategy, Volume 36

Front 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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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
APerson Games
125
An Introduction toVPerson Games
127
Strategic Voting
134
VPerson 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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