Identification and Estimation of Auction Models with a Random Number of Bidders

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Release : 2013
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Identification and Estimation of Auction Models with a Random Number of Bidders - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Identification and Estimation of Auction Models with a Random Number of Bidders write by . This book was released on 2013. Identification and Estimation of Auction Models with a Random Number of Bidders available in PDF, EPUB and Kindle. This dissertation is a collection of three chapters on structural analysis of auctions. The first chapter studies nonparametric identification of the distribution of bidder valuations in auctions where valuations are independently and symmetrically distributed, the number of bidders follows a Poisson distribution, and the number is not known to the bidders. I consider both first and second-price sealed bid auctions. If the data set consists of all auctions, including auctions with no bids or only one bid, then I show that data on either the first or second highest bid is sufficient for the model to be identified. If the data set does not include auctions with no bids and only the highest bids are observed, then information on the number of bidders is also needed for identification. In the second chapter, I develop a method for identifying and estimating a dynamic model of auctions like eBay. The market is modeled as an infinite sequence of second-price, sealed bid auctions of a homogenous good. Bidders arrive randomly and, upon arrival, they enter a pool of potential bidders. The actual bidders in an auction are drawn randomly from the pool. Conditional on bidding, a bidder exits if she wins and returns to the pool if she loses. Then bidders in the pool exit with some probability each period. I define and solve for the oblivious equilibrium (Weintraub et al. (2008)). I prove the stochastic stability and the existence of an equilibrium. The equilibrium yields a closed form solution for the bid function in which bidders shade their bids by their continuation values. I demonstrate that the model is identified (modulo the discount factor) from the data of bidder identities and the second highest bid. Based on the identification result, an estimation procedure is developed. In the third chapter I apply the model to a data from a Japanese online auction website. The estimation results suggest that market dynamics are important. The estimate of the valuations obtained when each auction is treated independently is 23% smaller than the estimates obtained from the dynamic model.

Essays on Empirical Auctions and Related Econometrics

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Release : 2014
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Essays on Empirical Auctions and Related Econometrics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Essays on Empirical Auctions and Related Econometrics write by . This book was released on 2014. Essays on Empirical Auctions and Related Econometrics available in PDF, EPUB and Kindle. 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.

Identification, Estimation and Testing of Auction Models

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Release : 2014
Genre : Auctions
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Book Rating : 762/5 ( reviews)

Identification, Estimation and Testing of Auction Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Identification, Estimation and Testing of Auction Models write by Jie Wei. This book was released on 2014. Identification, Estimation and Testing of Auction Models available in PDF, EPUB and Kindle. The third chapter shows nonparametric identification and estimation of private value distribution and density functions in first-price auctions with endogenous entry. In the model, symmetric bidders face a nontrivial entry cost and a binding reserve price. We identify latent structures by solving a two stage game, and estimate density functions (point-wisely) by using and comparing two different methods. Monte Carlo experiments show good performance of our estimators.

Structural Analysis of Auction Data with an Unknown Number of Bidders

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Release : 2004
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Structural Analysis of Auction Data with an Unknown Number of Bidders - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Structural Analysis of Auction Data with an Unknown Number of Bidders write by Unjy Song. This book was released on 2004. Structural Analysis of Auction Data with an Unknown Number of Bidders available in PDF, EPUB and Kindle.

Modeling Online Auctions

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Release : 2010-12-01
Genre : Mathematics
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Book Rating : 865/5 ( reviews)

Modeling Online Auctions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling Online Auctions write by Wolfgang Jank. This book was released on 2010-12-01. Modeling Online Auctions available in PDF, EPUB and Kindle. Explore cutting-edge statistical methodologies for collecting, analyzing, and modeling online auction data Online auctions are an increasingly important marketplace, as the new mechanisms and formats underlying these auctions have enabled the capturing and recording of large amounts of bidding data that are used to make important business decisions. As a result, new statistical ideas and innovation are needed to understand bidders, sellers, and prices. Combining methodologies from the fields of statistics, data mining, information systems, and economics, Modeling Online Auctions introduces a new approach to identifying obstacles and asking new questions using online auction data. The authors draw upon their extensive experience to introduce the latest methods for extracting new knowledge from online auction data. Rather than approach the topic from the traditional game-theoretic perspective, the book treats the online auction mechanism as a data generator, outlining methods to collect, explore, model, and forecast data. Topics covered include: Data collection methods for online auctions and related issues that arise in drawing data samples from a Web site Models for bidder and bid arrivals, treating the different approaches for exploring bidder-seller networks Data exploration, such as integration of time series and cross-sectional information; curve clustering; semi-continuous data structures; and data hierarchies The use of functional regression as well as functional differential equation models, spatial models, and stochastic models for capturing relationships in auction data Specialized methods and models for forecasting auction prices and their applications in automated bidding decision rule systems Throughout the book, R and MATLAB software are used for illustrating the discussed techniques. In addition, a related Web site features many of the book's datasets and R and MATLAB code that allow readers to replicate the analyses and learn new methods to apply to their own research. Modeling Online Auctions is a valuable book for graduate-level courses on data mining and applied regression analysis. It is also a one-of-a-kind reference for researchers in the fields of statistics, information systems, business, and marketing who work with electronic data and are looking for new approaches for understanding online auctions and processes. Visit this book's companion website by clicking here