Identification and Estimation of Auction Model with Two-Dimensional Unobserved Heterogeneity

Identification and Estimation of Auction Model with Two-Dimensional Unobserved Heterogeneity

Author: Elena Krasnokutskaya

Publisher:

Published: 2012

Total Pages: 0

ISBN-13:

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This article investigates the empirical importance of allowing for multidimensional sources of unobserved heterogeneity in auction models with private information. It develops the estimation procedure to recover the distribution of private information in the presence of two sources of unobserved heterogeneity. It is shown that this estimation procedure identifies components of the model and produces uniformly consistent estimators of these components. The results of the estimation with highway procurement data indicate that allowing for two-dimensional unobserved heterogeneity may significantly affect the results of estimation as well as policy-relevant instruments derived from the estimated distributions of bidders' costs.


Essays on Empirical Auctions and Related Econometrics

Essays on Empirical Auctions and Related Econometrics

Author:

Publisher:

Published: 2014

Total Pages: 218

ISBN-13:

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The first chapter studies identification and estimation of first-price auctions if the bidders face ambiguity about the distribution of valuations. Ambiguity is modeled using Gilboa and Schmeidler's (1989) Maxmin Expected Utility preferences. We exploit variation in the number of bidders to identify the essential primitives of the model. The identification result yields a closed form for the inverse bid function, which suggests a two-step estimation procedure. We study asymptotic and finite sample properties of the estimators. We find evidence of ambiguity in USFS timber auctions which leads to aggressive bidding for bidders with high valuations and has important implications for auction design. The second chapter proposes a procedure to test restrictions on infinite-dimensional parameters (partially) identified by unconditional or conditional moment equalities. Our new method allows us to test restrictions involving a continuum of inequalities. Examples of such restrictions include weakly increasing, concavity and first-order stochastic dominance. We show that our testing procedure controls size uniformly and has power approaching 1 against fixed alternatives. We conduct Monte Carlo Experiments to study the finite sample properties of our procedure. The third chapter studies the inference problem of bidders' risk attitudes in Independent Private Value (IPV) first-price auctions with multiplicative auction-level unobserved heterogeneity. Bidders are assumed to have Constant Relative Risk Aversion. Under the exclusion restriction that bidders randomly select themselves into auctions given the auction-level unobserved heterogeneity, bidders' CRRA coefficient is point-identified from bid data of auctions with at least two different number of active bidders. Our exclusion restriction is consistent with a variety of models with endogenous entry. Empirical application to USFS timber auctions shows that we will conclude that timber firms are risk averse if we ignoring the unobserved heterogeneity. But once we take the unobserved heterogeneity into account, risk neutrality is consistent with the data.


Nonparametric Identification of First-Price Auctions With Non-Separable Unobserved Heterogeneity

Nonparametric Identification of First-Price Auctions With Non-Separable Unobserved Heterogeneity

Author: David McAdams

Publisher:

Published: 2010

Total Pages: 0

ISBN-13:

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We propose a novel methodology for nonparametric identification of first-price auction models with independent private values, which allows for one-dimensional auction-specific unobserved heterogeneity, based on recent results from the econometric literature on nonclassical measurement error in Hu and Schennach (2008). Our approach can accommodate a wide variety of applications in which some location of the conditional distribution of bids (e.g. min or max of the support, mean, etc.) is increasing in the unobserved heterogeneity. This includes settings in which the econometrician fails to observe the reserve price, the cost of bidding, the number of bidders, or some factor (“quality”) with a non-linear effect on bidder values.


Identifying Demand in Ebay Auctions

Identifying Demand in Ebay Auctions

Author: Federal Trade Commission

Publisher: CreateSpace

Published: 2014-09-28

Total Pages: 36

ISBN-13: 9781502523853

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This book presents assumptions and identification results for eBay type auctions. These results are for private value auctions covering three major issues; censoring bias, auction heterogeneity and dynamic bidding. The first section of the book presents two identification results for second price open call auctions with private values and unobserved participation (eBay type auctions). The second section presents identification results for eBay type auctions that have either observed bidder heterogeneity, observed and unobserved item heterogeneity or unobserved auction heterogeneity. In particular it is shown that a traditional demand estimation model is identified. The third section presents identification results when bidders face an infinite sequence of eBay type auctions for a single item.


Issues in Regional Economics: 2013 Edition

Issues in Regional Economics: 2013 Edition

Author:

Publisher: ScholarlyEditions

Published: 2013-05-01

Total Pages: 476

ISBN-13: 1490110674

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Issues in Regional Economics / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Japanese Economy. The editors have built Issues in Regional Economics: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Japanese Economy in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Regional Economics: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.


Identification and Estimation of Risk Aversion in First-price Auctions with Unobserved Auction Heterogeneity

Identification and Estimation of Risk Aversion in First-price Auctions with Unobserved Auction Heterogeneity

Author: Serafin Grundi

Publisher:

Published: 2016

Total Pages: 60

ISBN-13:

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This paper shows point identification in first-price auction models with risk aversion and unobserved auction heterogeneity by exploiting multiple bids from each auction and variation in the number of bidders. The required exclusion restriction is shown to be consistent with a large class of entry models. If the exclusion restriction is violated, but weaker restrictions hold instead, the same identification strategy still yields valid bounds for the primitives. We propose a sieve maximum likelihood estimator. A series of Monte Carlo experiments illustrate that the estimator performs well in finite samples and that ignoring unobserved auction heterogeneity can lead to a significant bias in risk-aversion estimates. In an application to U.S. Forest Service timber auctions we find that the bidders are risk neutral, but we would reject risk neutrality without accounting for unobserved auction heterogeneity.


Identification in Ascending Auctions, with an Application to Digital Rights Management

Identification in Ascending Auctions, with an Application to Digital Rights Management

Author: Joachim Freyberger

Publisher:

Published: 2017

Total Pages: 45

ISBN-13:

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This study provides new identification and estimation results for ascending (traditional English or online) auctions with unobserved auction-level heterogeneity and an unknown number of bidders. When the seller's reserve price and two order statistics of bids are observed, we derive conditions under which the distributions of buyer valuations, unobserved heterogeneity, and number of participants are point identified. We also derive conditions for point identification in cases where reserve prices are binding (in which case bids may be unobserved in some auctions) and present general conditions for partial identification. We propose a nonparametric maximum likelihood approach for estimation and inference. We apply our approach to the online market for used iPhones and analyze the effects of recent regulatory changes banning consumers from circumventing digital rights management technologies used to lock phones to service providers. We find that buyer valuations for unlocked phones dropped after the unlocking ban took effect.


Identifying Demand in Ebay Auctions

Identifying Demand in Ebay Auctions

Author: Christopher Adams

Publisher:

Published: 2015

Total Pages: 0

ISBN-13:

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This paper presents assumptions and identification results for eBay type auctions. These results are for private value auctions covering three major issues; censoring bias, auction heterogeneity and dynamic bidding. The first section of the paper presents two identification results for second price open call auctions with private values and unobserved participation (eBay type auctions). The second section presents identification results for eBay type auctions that have either observed bidder heterogeneity, observed and unobserved item heterogeneity or unobserved auction heterogeneity. In particular it is shown that a traditional demand estimation model is identified. The third section presents identification results when bidders face an infinite sequence of eBay type auctions for a single item.