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Last updated:

December 10, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

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Unlimited Duration

Description

This is an advanced course in game theory.

We begin with a rigorous overview of the main equilibrium concepts for non-­cooperative games in both static and dynamic settings with either complete or incomplete information. We define and explore properties of iterated strict dominance, rationalizability, Nash equilibrium, subgame perfection, sequential, perfect and proper equilibria, the intuitive criterion, and iterated weak dominance. We discuss applications to auctions, bargaining, and repeated games. Then we introduce solution concepts for cooperative games and study non-­cooperative implementations. Other topics include matching theory and networks.

Course Curriculum

  • Strategic Form Games: Dominated Strategies, Rationalizability, and Nash Equilibrium Unlimited
  • Bayesian Games, Auctions, and Revenue Equivalence; Optimal Auctions and Efficient Bilateral Trade Unlimited
  • Extensive Form Games and Subgame Perfection Unlimited
  • Single-Deviation Principle and Bargaining Unlimited
  • Repeated Games with Perfect Monitoring Unlimited
  • Equilibrium Refinements: Sequential, Perfect, and Proper Equilibria; Forward Induction Unlimited
  • Cooperative Games: Nash Bargaining Solution, Core, and Shapley Value Unlimited
  • Matching Theory Unlimited
  • Median Stable Matchings Unlimited
  • Networks and Pairwise Stability Unlimited

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Massachusetts Institute of Technology
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