Preface
Chapter 1. Deterministic Games
A Very Simple Game
Rules of the Game
Heuristics and Strategies
Game Trees
A Solution for Nim
Theorems of Zermelo and Nash
Chapter 2. Player Preferences
Measurement
Ordinal Preferences
Cardinal Preferences
Ratio Scale Preferences
Chapter 3. Strategic Games
Tosca
Fingers and Matches
Four Solution Concepts
Once Again, Game Trees
Trees and Matrices
Chapter 4. Probabilistic Strategies
It’s Child’s Play
Mixed Strategy Solutions
Finding Solutions in 2 × 2 Games
Nash Equilibria in m × 2 Games
Zero-Sum Games
Chapter 5. Strategic Game Cooperation
Experiments
The Prisoners’ Dilemma
Resolving the Prisoners’ Dilemma
Chapter 6. Negotiation and Arbitration
A Simple Negotiation
Bargaining Games
The Egalitarian Method
The Raiffa Method
The Nash Method
Chapter 7. Coalition Games
A Savings Allocation Problem
Two Properties and Five Methods
The Shapley Method
The Nucleolus Method
You Can’t Always Get What You Want
Chapter 8. Fair Division
An Inheritance Problem
Fair Division Games and Methods
Fairness Properties
Choosing a Fair Method
Epilogue
Answers to Selected Exercises
Deterministic Games
Player Preferences
Strategic Games
Probabilistic Strategies
Strategic Game Cooperation
Negotiation and Arbitration
Coalition Games
Fair Division
Bibliography
Index