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Introduction to Game Theory: a Discovery Approach

Many colleges offer courses in quantitative reasoning for all students. One model for a quantitative reasoning course is to provide students with a single cohesive topic. Ideally, such a topic can pique the curiosity of students with wide ranging academic interests and limited mathematical background. This text is intended for use in such a course. This text may also be appropriate for a high school enrichment course.

Applied MathematicsMathematics
Author
Jennifer A. Firkins Nordstrom
Publisher
Linfield College
Source
LibreTexts
License
CC BY-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 28 sections
  1. 01: What is Game Theory
  2. 1.01: Players and Strategies
  3. 1.02: Game Matrices and Payoff Vectors
  4. 02: Two-Person Zero-Sum Games
  5. 2.01: Introduction to Two-Person Zero-Sum Games
  6. 2.02: Dominated Strategies
  7. 2.03: Probability and Expected Value
  8. 2.04: A Game of Chance
  9. 2.05: Equilibrium Points
  10. 2.06: Strategies for Zero-Sum Games and Equilibrium Points
  11. 2.07: Popular Culture: Rationality and Perfect Information
  12. 03: Repeated Two-Person Zero-sum Games
  13. 3.01: Introduction to Repeated Games
  14. 3.02: Mixed Strategies: Graphical Solution
  15. 3.03: Using Sage to Graph Lines and Solve Equations
  16. 3.04: Mixed Strategies: Expected Value Solution
  17. 3.05: Liar's Poker
  18. 3.06: Augmented Matrices
  19. 3.07: Undercut
  20. 04: Non-Zero-Sum Games
  21. 4.01: Introduction to Two-Player Non-Zero-Sum Games
  22. 4.02: Prisoner's Dilemma and Chicken
  23. 4.03: A Class-Wide Experiment
  24. 4.04: What Makes a Prisoner's Dilemma
  25. 4.05: Another Multiplayer Experiment
  26. 4.06: Volunteer's Dilemma
  27. 4.07: Repeated Prisoner's Dilemma
  28. 4.08: Popular Culture: Prisoner's Dilemma and Chicken