Strategy and information
Bachelor's degree
In Maynard (USA)
Description
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Type
Bachelor's degree
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Location
Maynard (USA)
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Start date
Different dates available
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.
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Course programme
Lectures: 2 sessions / week, 1.5 hours / session
Recitations: 1 session / week, 1 hour / session
The course is proof-based and assumes that students are comfortable with discrete mathematics, optimization, topology, and probability theory. Previous exposure to economic modeling is helpful. The prerequisite for the course is a substantial economics background or a strong math background with some economics coursework.
The following textbooks are useful references for various parts of the course:
Fudenberg, Drew, and Jean Tirole. Game Theory. MIT Press, 1991. ISBN: 9780262061414. [Preview with Google Books]
Osborne, Martin J., and Ariel Rubinstein. A Course in Game Theory. MIT Press, 1994. ISBN: 9780262650403. [Preview with Google Books]
Roth, Alvin E., and Marilda A. Oliveira Sotomayer. Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis. Cambridge University Press, 1992. ISBN: 9780521437882. [Preview with Google Books]
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Strategy and information