Economics · Columbia University
A comprehensive(more comprehensive than the one found on oyc.yale.edu) yet fast-paced(missing derivations in slides requires your working out the intermediate steps yourself) tour through game theory plus a glimpse into mechanism design and auction theory.
Logic, set theory, real analysis, calculus, optimization, integration, measure theory, probability, dynamic programming
General Equilibrium theory, brief overview of social choice, game theory
Models, scope and applications of game theory.
Real analysis, functions, linear algebra, derivatives, correspondence, optimization, integration, measure theory and probability, Markov Chain, dynamic programming
I learnt a lot about the applicability of mostly abstract theoretical tools I had seen in my previous classes (especially in part 1 of the course). Prof. Chiappori spoke a lot about empirically seeing if the observed demand inddeed comes from prefernce maximization behavior (using the slutsky). I really liked the first part. I also loved the problem sets and seeing the second welfare theorem work in specific settings... In the second part, I particularly enjoyed learning GE. I feel like my math got stronger...
Introductions to game theory concepts such as Nash Equilibrium, Cournot and Bertrand models, applications to competition and strategy.
Various advanced math tools; real analysis, measure theory
We learnt a wide range of topics in microeconomics, ranging from consumer theory, economics under uncertainty to general equilibrium and game theory.
This is a super theoretical class, and I learned more than I expected of real-analysis type math.