The Roy Model
The Roy model is the workhorse for thinking about selection on unobserved gains: agents choose treatment when it pays off for them, which breaks the random-assignment intuition and forces us to take marginal treatment effects, control functions, and extrapolation seriously. This week ties together Heckman–Vytlacil’s MTE framework, the Mogstad–Santos–Torgovitsky bounding approach, and a graphical intuition you can keep returning to.