The generalized second price (GSP) auction allocates billions of dollars of advertising via position auctions. Theory tells us that the GSP achieves the efficiency of the Vickrey-Clarke-Groves mechanism but with greater revenue, provided better positions increase click-through-rate by the same...

We study an observable risk-return tradeoff for which risk "preferences" are normatively prescribed by the desire to win the game. The choice is whether to shoot a 2-pointer or a 3-pointer in professional (NBA) basketball. When trailing, teams should get more risk-loving as they fall further...

We study how reference dependence and loss aversion motivate highly experienced agents, professional basketball players. Loss aversion predicts losing motivates if the reference point is fixed and losing discourages if it adjusts quickly. We find a “losing motivates effect” so large that an...

This paper provides estimation and inference methods for conditional average treatment effects (CATE) characterized by a high-dimensional parameter in both homogeneous cross-sectional and unit-heterogeneous dynamic panel data settings. In our leading example, we model CATE by interacting the...

In its favor, the common Kolmogorov–Smirnov test: 1) is distribution-free and non- parametric, 2) provides uniform confidence bands for the CDF by inversion, 3) may be interpreted as a family of pointwise tests controlling the familywise error rate, 4) can be calibrated to have exact...

Using and extending fractional order statistic theory, we characterize the O(n−1) coverage probability error of the previously proposed confidence intervals for population quantiles using L-statistics as endpoints in Hutson (1999). We derive an analytic expression for the n−1 term,...

We provide novel methods for inference on quantile treatment effects in both uncon- ditional and conditional (nonparametric) settings. These methods achieve high-order accuracy by using the probability integral transform and a Dirichlet (rather than Gaus- sian) reference distribution. We propose...

The literature has two types of fractional order statistics: an `ideal' (unobserved) type based on a beta distribution, and an observable type linearly interpolated between consecutive order statistics. We show convergence in distribution of the two types at an O(n-1) rate, which we also show...