Indirect inference testing can be carried out with a variety of auxiliary models. Asymptotically these different models make no difference. However, the small sample properties can differ. We explore small sample power and estimation bias both with different variable combinations and descriptive...

We formalize an econometric model for two-sided matching mechanisms in a school choice context, where exogenous variation is generated by using lotteries as a tie-breaking mechanism. Our model accommodates a wide range of matching algorithms studied in the theoretical market design literature....