“…We largely follow the widely used Rubin Causal Model set up, extended to the fuzzy regression discontinuity design by Hahn, Todd, and Van Der Klaauw (2001), HTV from hereon. Recent theoretical contributions include Porter (2003), McCrary (2008), Imbens and Kalyanaraman (2012), Calonico, Cattaneo and Titiunik (2014abc), Dong (2014), Dong and Lewbel (2014), Bertanha (2014), and Gelman and Imbens (2014). Influential applications include Black (1999), Berk and Rauma (1983), Angrist andLavy (1999), Van Der Klaauw (2002), Jacob and Lefgren (2004), Battistin and Rettore (2008), Lee (2008), Lalive (2008), andMatsudaira (2008).…”