I collect here some of my notes on various topics. Most of these were used in my graudate classes. The dates are when I last edited them.
Most notes cite sources for the results, but the citations may not be complete or track the entire history; this is true especially for the more classical results.

Ironing in Myersons's Revenue Optimal Auctions (2018)

Basic prophet inequalities, Pandora box problem, and Online Contention Resoluion Schemes (OCRS) (2020)

Smooth Games and Price of Anarchy (2017)

Border's Inequalities and Interim Feasbility of Bayesian Mechanisms (2018)

Existence of Sparse Approximate Nash Equilibrium (2018)

(Coarse) Correlated Equilibrium and Swap Regret (2018)