Eight Lessons from Grad School

1. Humility
2. The last bus on the 3B route leaves campus at 23:33; the last bus on the 3A route leaves at 01:28.
3. Undergrads value an interesting class only slightly more than a predictable exam.
4. One does not need a separate M file to define a function in Matlab.
5. The illumination of the skyline turns off at midnight.
6. If A is a nonempty, compact, convex subset of R^N and if f:A→A is an upper hemicontinuous correspondence with the property that the set f(x) is a subset of A for every x in A, then there exists a fixed point.
6a. (Corollary) Every mixed extension of a normal form game has a Nash equilibrium.
7. Warm compresses are good remedies for twitching eyes.
8. Ad hoc models and dubious assumptions make the world go round.