We review recent developments in the econometrics of shape restrictions and their role in
applied work. Our objectives are threefold. First, we aim to emphasize the diversity of …

This review surveys the growing literature on the econometrics of first-price sealed-bid
auctions and nonlinear pricing. The complexity of the economic models has initiated fruitful …

The paper proposes a quantile-regression inference framework for first-price auctions with
symmetric risk-neutral bidders under the independent private-value paradigm. It is first …

This article considers nonparametric estimation of first-price auction models under the
monotonicity restriction on the bidding strategy. Based on an integrated-quantile …

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The conditional tail average treatment effect (CTATE) is defined as a difference between the
conditional tail expectations of potential outcomes, which can capture heterogeneity and …

We introduce several new estimation methods that leverage shape constraints in auction
models to estimate various objects of interest, including the distribution of a bidder's …

We consider inference on the probability density of valuations in the first-price sealed-bid
auctions model within the independent private value paradigm. We show the asymptotic …

In the independent private values framework for first-price auctions, we propose a new
nonparametric estimator of the probability density of latent valuations that imposes the …

I introduce an empirical auction model where in addition to the private value that each
bidder receives upon winning the auction, losing bidders incur a negative externality that …