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Monotonicity-Constrained Nonparametric Estimation and Inference for First-Price Auctions (1909.12974v1)
Published 27 Sep 2019 in econ.EM and stat.ME
Abstract: We propose a new nonparametric estimator for first-price auctions with independent private values that imposes the monotonicity constraint on the estimated inverse bidding strategy. We show that our estimator has a smaller asymptotic variance than that of Guerre, Perrigne and Vuong's (2000) estimator. In addition to establishing pointwise asymptotic normality of our estimator, we provide a bootstrap-based approach to constructing uniform confidence bands for the density function of latent valuations.