Mathematics & statistics

Introduction to Game Theory: a Discovery Approach

Jennifer Firkins Nordstrom
Jennifer Firkins Nordstrom / Linfield University · PDF dated 12 January 2026 · English · Published 2026

A discovery-based introduction to strategies, payoff matrices, zero-sum and non-zero-sum games through activities and exercises.

Learning stage
College introduction
Prerequisites
Elementary algebra; some activities refer to externally hosted Sage tools.
PDF pages
121 in this file
Editorial review
2026-10-29

Contents

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  • Preface

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  • What is Game Theory?
    • What is Game Theory?

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    • Players and Strategies

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    • Game Matrices and Payoff Vectors

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  • Two-Person Zero-Sum Games
    • Two-Person Zero-Sum Games

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    • Introduction to Two-Person Zero-Sum Games

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    • Finding Strategies

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    • Probability and Expected Value

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    • A Game of Chance

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    • Equilibrium Points

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    • Strategies for Zero-Sum Games and Equilibrium Points

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    • Popular Culture: Rationality and Perfect Information

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  • Repeated Two-Person Zero-sum Games
    • Repeated Two-Person Zero-sum Games

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    • Introduction to Repeated Games

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    • Mixed Strategies: Graphical Solution

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    • Using Sage to Graph Lines and Solve Equations

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    • Mixed Strategies: Expected Value Solution

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    • Liar's Poker

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    • Solving Systems of Equations Using Matrices

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    • Undercut

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  • Non-Zero-Sum Games
    • Non-Zero-Sum Games

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    • Introduction to Two-Player Non-Zero-Sum Games

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    • Prisoner's Dilemma and Chicken

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    • A Class-Wide Experiment

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    • What Makes a Prisoner's Dilemma?

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    • Another Multiplayer Experiment

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    • Volunteer's Dilemma

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    • Repeated Prisoner's Dilemma

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    • Popular Culture: Prisoner's Dilemma and Chicken

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  • Back Matter
    • Back Matter

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    • References

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    • Index

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Sources and permissions

The author and publisher remain the source of this textbook. Permission information applies to the specific files in this edition.

Author, publisher, and discovery sources

Authors: Jennifer Firkins Nordstrom
Publisher: Jennifer Firkins Nordstrom / Linfield University

  • Discovered through Open Textbook Library: Source record · Checked 2026-10-29
  • Discovered through Open Textbook Library: Source record · Checked 2026-10-25
CC BY-SA 4.0

Jennifer Firkins Nordstrom. Introduction to Game Theory: a Discovery Approach. Jennifer Firkins Nordstrom / Linfield University. PDF dated 12 January 2026. CC BY-SA 4.0.

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Checked 2026-10-29

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