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Game Theory

MediumEconomicsMath15 chapters

Foundations of strategic logic and interactive behavior. Master how individuals and firms navigate cooperation and conflict — from simple simultaneous choices to complex negotiations involving risk, hidden information, and reputation.

What This Course Covers

Game Theory is structured into 15 chapters that build on each other progressively:

Chapter 1: Foundations of Interactive Thinking
Chapter 2: Static Games: Dominance and Equilibrium
Chapter 3: Dynamic Games: The Power of Foresight
Chapter 4: Subgame Perfection in Complex Trees
Chapter 5: The Logic of Risk: Expected Utility Theory
Chapter 6: Strategic Randomization: Mixed Equilibria
Chapter 7: Sequential Randomization: Behavioral Strategies
Chapter 8: Rationality at Unreached Scenarios
Chapter 9: Consistency and Sequential Equilibrium
Chapter 10: Belief Revision and Perfect Bayesian Equilibrium
Chapter 11: Interactive Epistemology: The Logic of Knowing
Chapter 12: Bayes' Rule and the Common Prior Assumption
Chapter 13: Epistemic Foundations: Why Deletion Works
Chapter 14: Bayesian Games: Hidden Information and Signaling
Chapter 15: Advanced Modeling: The Type-Space Approach

Each chapter combines interactive AI tutoring with hands-on examples. After you learn the material, Lambdio's spaced repetition algorithm schedules review sessions at optimal intervals — so you retain concepts and techniques long-term.

How to Study Game Theory on Lambdio

Lambdio's AI-powered platform adapts to how Economics courses are best learned. Here's our recommended approach:

Learning Mode
Standard Mode — for first-time learning of each chapter
Review Modes
Standard, Quiz — for spaced repetition reviews
Learning Priority
Medium Priority — controls how often the algorithm schedules reviews

Game Theory sits at the intersection of conceptual strategic reasoning and formal mathematical modeling. Topics such as payoff matrix analysis, the indifference principle for mixed-strategy equilibria, backward induction in extensive-form games, and Bayesian updating in games of incomplete information benefit from the structured exposition and guided practice that Standard Mode provides. The subject also involves significant conceptual depth — epistemic foundations, common knowledge, belief revision — where clear explanation from the AI tutor helps students connect abstract models to concrete strategic intuition. Socratic Mode is less suitable because many game theory concepts require precise mathematical formulations — Nash equilibrium existence proofs, Kuhn's theorem, the consistency condition for sequential equilibrium — that are better served by direct instruction. The Medium difficulty rating, combined with the material's reliance on both conceptual logic and quantitative payoff analysis, makes Medium priority the appropriate default, ensuring regular reinforcement through spaced repetition without overwhelming frequency. For study sessions, pairing Standard Mode for initial learning with Quiz Mode for reviews provides an effective path to mastery: use Standard Mode to work through normal-form and extensive-form games, expected utility theory, and Bayesian equilibrium, then Quiz Mode to test retention of key solution concepts such as the distinction between subgame-perfect and sequential equilibrium, the implications of Aumann's agreement theorem, and the computation of mixed-strategy Nash equilibria. Imagine analyzing a high-stakes auction or a corporate takeover bid with an AI tutor that can walk you through the payoff matrix, identify the equilibrium, and explain how signaling and reputation reshape the strategic landscape.

Interactive Quiz

Test your knowledge with these sample questions from the course. Click an answer to see if you're right:

Q1: In the Prisoner's Dilemma, which outcome is the Nash equilibrium?
Q2: What does the backward induction algorithm require for its application?
Q3: Kuhn's theorem (1953) establishes that in games with perfect recall:
Q4: Aumann's agreement theorem states that if two agents share a common prior and their posteriors about an event are common knowledge, then:
Q5: Which of the following best describes a subgame-perfect equilibrium?
Q6: In a Bayesian Nash equilibrium, players:
Q7: What distinguishes a sequential equilibrium from a weak sequential equilibrium?
Q8: The iterated deletion of strictly dominated strategies (IDSDS) yields the same set of strategy profiles as:

What You'll Be Able to Do After This Course

  • Represent strategic interactions using normal-form and extensive-form game models
  • Identify and compute Nash equilibria in pure and mixed strategies for finite games
  • Apply backward induction and subgame-perfect equilibrium to sequential-move games
  • Analyze games of incomplete information using Bayesian Nash equilibrium and the Harsanyi transformation
  • Evaluate the role of common knowledge, beliefs, and epistemic conditions in strategic reasoning
  • Distinguish between equilibrium refinements including weak sequential equilibrium, sequential equilibrium, and perfect Bayesian equilibrium
  • Apply expected utility theory to model decision-making under risk and uncertainty
  • Design and interpret signaling games with pooling, separating, and hybrid equilibria
  • Assess the implications of Aumann's agreement theorem and the common prior assumption for strategic interaction
  • Construct type-space representations for advanced game-theoretic models in auction and mechanism design

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