Difference-in-Differences (DiD) is a popular method used to evaluate the effect of a treatment. In its most simple version a control group remains untreated at two periods, whereas the treatment group becomes fully treated at the second period. However, it is not uncommon in applications of the method that the treatment rate only increases more in the treatment group. Pedro Picchetti presents identification results for the marginal treatment effect (MTE) in such fuzzy designs. 

Image courtesy of interviewee. November 22, 2023