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I establish nonparametric identification results in first- and second-price auctions when transaction prices are truncated by a binding reserve price under a range of information structures. When the number of potential bidders is fixed and…

Econometrics · Economics 2025-10-09 Tonghui Qi

We establish nonparametric identification of auction models with continuous and nonseparable unobserved heterogeneity using three consecutive order statistics of bids. We then propose sieve maximum likelihood estimators for the joint…

Econometrics · Economics 2022-10-10 Yao Luo , Peijun Sang , Ruli Xiao

This paper studies inference in first-price and second-price sealed-bid auctions with many bidders, using an asymptotic framework where the number of bidders increases while the number of auctions remains fixed. Our approach enables…

Econometrics · Economics 2026-04-28 Federico A. Bugni , Yulong Wang

This paper introduces a version of the interdependent value model of Milgrom and Weber (1982), where the signals are given by an index gathering signal shifters observed by the econometrician and private ones specific to each bidders. The…

Econometrics · Economics 2019-10-24 Nathalie Gimenes , Emmanuel Guerre

We propose a semiparametric method to estimate the density of private values in first-price auctions. Specifically, we model private values through a set of conditional moment restrictions and use a two-step procedure. In the first step we…

Economics · Quantitative Finance 2015-06-23 Gaurab Aryal , Maria Florencia Gabrielli , Quang Vuong

We provide efficient estimation methods for first- and second-price auctions under independent (asymmetric) private values and partial observability. Given a finite set of observations, each comprising the identity of the winner and the…

Computer Science and Game Theory · Computer Science 2022-05-05 Yeshwanth Cherapanamjeri , Constantinos Daskalakis , Andrew Ilyas , Manolis Zampetakis

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…

Econometrics · Economics 2025-03-10 Jun Ma , Vadim Marmer , Artyom Shneyerov , Pai Xu

Auction data often contain information on only the most competitive bids as opposed to all bids. The usual measurement error approaches to unobserved heterogeneity are inapplicable due to dependence among order statistics. We bridge this…

Econometrics · Economics 2023-04-25 Yao Luo , Ruli Xiao

We study the identification and estimation of first-price auction models where bidders have ambiguity about the valuation distribution and their preferences are represented by maxmin expected utility. When entry is exogenous, the…

Economics · Quantitative Finance 2015-04-13 Gaurab Aryal , Dong-Hyuk Kim

We focus on online second price auctions, where bids are made sequentially, and the winning bidder pays the maximum of the second-highest bid and a seller specified starting price. For many such auctions, the seller does not see all the…

Methodology · Statistics 2026-02-23 Sourav Mukherjee , Ziqian Yang , Rohit K Patra , Kshitij Khare

In a classical model of the first-price sealed-bid auction with independent private values, we develop nonparametric estimators for several policy-relevant targets, such as the bidder's surplus and auctioneer's revenue under counterfactual…

Econometrics · Economics 2024-10-23 Pasha Andreyanov , Grigory Franguridi

We consider the sample complexity of revenue maximization for multiple bidders in unrestricted multi-dimensional settings. Specifically, we study the standard model of $n$ additive bidders whose values for $m$ heterogeneous items are drawn…

Computer Science and Game Theory · Computer Science 2021-04-13 Yannai A. Gonczarowski , S. Matthew Weinberg

We consider auction environments in which at the time of the auction bidders observe signals about their ex-post value. We introduce a model of novice bidders who do not know know the joint distribution of signals and instead build a…

Theoretical Economics · Economics 2021-07-02 Philippe Jehiel , Konrad Mierendorff

The paper proposes a parsimonious and flexible semiparametric quantile regression specification for asymmetric bidders within the independent private value framework. Asymmetry is parameterized using powers of a parent private value…

Econometrics · Economics 2020-09-21 Jayeeta Bhattacharya , Nathalie Gimenes , Emmanuel Guerre

First price auctions are widely used in government contracts and industrial auctions. In this paper, we consider the Bayesian Nash Equilibrium (BNE) in first price auctions with discrete value distributions. We study the characterization of…

Computer Science and Game Theory · Computer Science 2019-07-10 Weiran Shen , Zihe Wang , Song Zuo

Nonignorable missing outcomes are common in real world datasets and often require strong parametric assumptions to achieve identification. These assumptions can be implausible or untestable, and so we may forgo them in favour of partially…

Methodology · Statistics 2023-10-19 Daniel Daly-Grafstein , Paul Gustafson

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 normality of the two-step nonparametric estimator of Guerre,…

Econometrics · Economics 2019-10-01 Jun Ma , Vadim Marmer , Artyom Shneyerov

Bidding is a key element of search advertising, but the variation in bidders' valuations and strategies is often overlooked. Disclosing bid information helps uncover this heterogeneity and enables platforms to tailor their disclosure…

General Economics · Economics 2024-10-10 Zhu Mingxi , Song Michelle

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 valuations, the bidder's ex ante expected surplus, and the…

Econometrics · Economics 2019-12-17 Joris Pinkse , Karl Schurter

This paper studies nonparametric identification in market level demand models for differentiated products with heterogeneous consumers. We consider a general class of models that allows for the individual specific coefficients to vary…

Econometrics · Economics 2022-01-19 Fabian Dunker , Stefan Hoderlein , Hiroaki Kaido
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