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Game Theory

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  • Week 1: Introduction and Overview
    • Introduction, overview, uses of game theory, some applications and examples, and formal definitions of: the normal form, payoffs, strategies, pure strategy Nash equilibrium, dominant strategies
  • Week 2: Mixed-Strategy Nash Equilibrium
    • pure and mixed strategy Nash equilibria
  • Week 3: Alternate Solution Concepts
    • Iterative removal of strictly dominated strategies, minimax strategies and the minimax theorem for zero-sum game, correlated equilibria
  • Week 4: Extensive-Form Games
    • Perfect information games: trees, players assigned to nodes, payoffs, backward Induction, subgame perfect equilibrium, introduction to imperfect-information games, mixed versus behavioral strategies.
  • Week 5: Repeated Games
    • Repeated prisoners dilemma, finite and infinite repeated games, limited-average versus future-discounted reward, folk theorems, stochastic games and learning.
  • Week 6: Bayesian Games
    • General definitions, ex ante/interim Bayesian Nash equilibrium.
  • Week 7: Coalitional Games
    • Transferable utility cooperative games, Shapley value, Core, applications.
  • Week 8: Final Exam
    • The description goes here