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Introduction to Game Theory:
a Discovery Approach
Jennifer Firkins Nordstrom
Contents
Index
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Contents
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Front Matter
Colophon
Preface
1
What is Game Theory?
Players and Strategies
Game Matrices and Payoff Vectors
2
Two-Person Zero-Sum Games
Introduction to Two-Person Zero-Sum Games
Dominated Strategies
Probability and Expected Value
A Game of Chance
Equilibrium Points
Strategies for Zero-Sum Games and Equilibrium Points
Popular Culture: Rationality and Perfect Information
3
Repeated Two-Person Zero-sum Games
Introduction to Repeated Games
Mixed Strategies: Graphical Solution
Using Sage to Graph Lines and Solve Equations
Mixed Strategies: Expected Value Solution
Liar's Poker
Augmented Matrices
Undercut
4
Non-Zero-Sum Games
Introduction to Two-Player Non-Zero-Sum Games
Prisoner's Dilemma and Chicken
A Class-Wide Experiment
What Makes a Prisoner's Dilemma?
Another Multiplayer Experiment
Volunteer's Dilemma
Repeated Prisoner's Dilemma
Popular Culture: Prisoner's Dilemma and Chicken
Back Matter
References
Index
Colophon
Authored in PreTeXt
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Introduction to Game Theory:
a Discovery Approach
Jennifer Firkins Nordstrom
Department of Mathematics
Linfield College
McMinnville, OR
jfirkins@linfield.edu
January 4, 2020
Colophon
Preface
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