This course covers the basics: representing games and strategies, the extensive form (which computer scientists call game trees), repeated and stochastic games, coalitional games, and Bayesian games (modeling things like auctions).
About the course
Popularised by movies such as "A Beautiful Mind", game theory is the mathematical modeling of strategic interaction among rational (and irrational) agents. Beyond what we call 'games' in common language, such as chess, poker, soccer, etc., it includes the modeling of conflict among nations, political campaigns, competition among firms, and trading behavior in markets.
Week 1. Introduction
Week 2. Mixed-strategy Nash equilibria
Week 3. Alternate solution concepts
Week 4. Extensive-form games
Week 5. Repeated games
Week 6. Coalitional games
Week 7. Bayesian games
Course takes must be comfortable with mathematical thinking and rigorous arguments. Relatively little specific math is required; the course involves lightweight probability theory (for example, you should know what a conditional probability is) and very lightweight calculus (for instance, taking a derivative).
October 5, 2014 - December 7, 2014
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