Download or read book Essays on the Identification and Estimation of Auction Models with Unobserved Heterogeneity written by Jorge Francisco Balat and published by . This book was released on 2012 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays on Empirical Auctions and Related Econometrics written by and published by . This book was released on 2014 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Identification and Estimation of Auction Model with Two Dimensional Unobserved Heterogeneity written by Elena Krasnokutskaya and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Essays on Nonparametric Identification and Estimation of All Pay Auctions and Contests written by Ksenia Shakhgildyan and published by . This book was released on 2019 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: My dissertation contributes to the structural nonparametric econometrics of auctions and contests with incomplete information. It consists of three chapters. The first chapter investigates the identification and estimation of an all-pay auction where the object is allocated to the player with the highest bid, and every bidder pays his bid regardless of whether he wins or not. As a baseline model, I consider the setting, where one object is allocated among several risk-neutral participants with independent private values (IPV); however, I also show how the model can be extended to the multiunit case. Moreover, the model is not confined to the IPV paradigm, and I further consider the case where the bidders' private values are affiliated (APV). In both IPV and APV settings, I prove the identification and derive the consistent estimators of the distribution of the bidders' valuations using a structural approach similar to that of Guerre et al. (2000). Finally, I consider the model with risk-averse bidders. I prove that in general the model in this set-up is not identified even in the semi-parametric case where the utility function of the bidders is restricted to belong to the class of functions with constant absolute risk aversion (CARA). The second chapter proves the identification and derives the asymptotically normal estimator of a nonparametric contest of incomplete information with uncertainty. By uncertainty, I mean that the contest success function is not only determined by the bids of the players, but also by the variable, which I call uncertainty, with a nonparametric distribution, unknown to the researcher, but known to the bidders. This work is the first to consider the incomplete information contest with a nonparametric contest success function. The limiting case of the model when there is no uncertainty is an all-pay auction considered in the first chapter. The model with two asymmetric players is examined. First, I recover the distribution of uncertainty using the information on win outcomes and bids. Next, I adopt the structural approach of Guerre et al. (2000) to obtain the distribution of the bidders' valuations (or types). As an empirical application, I study the U.S. House of Representatives elections. The model provides a method to disentangle two sources of incumbency advantage: a better reputation, and better campaign financing. The former is characterized by the distribution of uncertainty and the latter by the difference in the distributions of candidates' types. Besides, two counterfactual analyses are performed: I show that the limiting expenditure dominates public campaign financing in terms of lowering total campaign spending as well as the incumbent's winning probability. The third chapter is a semiparametric version of the second chapter. In the case when the data is sparse, some restrictions on the nonparametric structure need to be put. In this work, I prove the identification and derive the consistent estimator of a contest of incomplete information, in which an object is allocated according to the serial contest success function. As in previous chapters, I recover the distribution of the bidders' valuations from the data on observed bids using a structural approach similar to that of Guerre et al. (2000) and He and Huang (2018). As a baseline model, I consider the symmetric contest. Further, the model is extended to account for the bidders' asymmetry.
Download or read book Essays on Structural Analysis of Procurement Auctions written by Bin Yu and published by . This book was released on 2007 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation addresses the empirical analysis of procurements based on the auction theory, which is known as the structural-form analysis of procurement auctions.
Download or read book Essays on the Theory and Estimation of Auction Models written by Leonardo Rezende and published by . This book was released on 2003 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays in the Theory and Estimation of Auction Models written by Gopal Das Varma and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation consists of 4 essays. The first essay analyzes equilibrium bidding behavior in a three bidder open ascending-bid auction with identity dependent externalities. It first proves the existence of a unique symmetric equilibrium and then shows that for sufficiently large externalities, the open auction yields strictly higher expected revenues compared to a sealed bid auction. The open auction is also shown to be more efficient than the sealed bid auction.
Download or read book Identification and Estimation in Highway Procurement Auctions Under Unobserved Heterogeneity written by Elena Krasnokutskaya and published by . This book was released on 2003 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Identification and Estimation of Risk Aversion in First price Auctions with Unobserved Auction Heterogeneity written by Serafin Grundi and published by . This book was released on 2016 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Essays in Industrial Organization written by and published by . This book was released on 2014 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 1 Retail prices are volatile and decrease over time in many markets for differentiated durable goods. Consumers in these markets have an incentive to delay their purchase and wait for lower prices. This chapter uses a novel data set from a price alert service for TVs sold on Amazon.com to estimate substitution patterns across products and over time. Users of a price alert service submit a price threshold for a product they want to purchase and receive an alert when their threshold is reached. I estimate consumer preferences using a discrete/continuous-choice model in which the price threshold is the solution to an optimal stopping problem. The importance of taking dynamics into account is shown by comparing the own-price elasticities in the dynamic model to a counterfactual with myopic consumers and to estimates from a static model. Chapter 2 This 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. Chapter 3 This chapter studies inference for first price auctions with risk averse bidders and an unobserved auction characteristic. Bidders are assumed to have Constant Relative Risk Aversion (CRRA). We exploit variation in the number of bidders to identify the primitives and show that our identifying assumption is compatible with common models of entry. We demonstrate that ignoring unobserved heterogeneity can lead to significant over-estimation of the CRRA coefficient.
Download or read book Identification and Estimation of Auction Models with a Random Number of Bidders written by and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Identification and Estimation of Risk Aversion in First price Auctions with Unobserved Auction Heterogeneity written by and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Identification and Estimation of Risk Aversion in First price Auctions with Unobserved Auction Heterogeneity written by Serafin Grundi and published by . This book was released on 2016 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Identification in Ascending Auctions with an Application to Digital Rights Management written by Joachim Freyberger and published by . This book was released on 2017 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonparametric Identification of First Price Auctions With Non Separable Unobserved Heterogeneity written by David McAdams and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Identifying Demand in Ebay Auctions written by Christopher Adams and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Unobserved Heterogeneity in Auctions written by Philip A. Haile and published by . This book was released on 2018 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: A common concern in the empirical study of auctions is the likely presence of auction-specific factors that are common knowledge among bidders but unobserved to the econometrician. Such unobserved heterogeneity confounds attempts to uncover the underlying structure of demand and information, typically a primary feature of interest in an auction market. Unobserved heterogeneity presents a particular challenge in first-price auctions, where identification arguments rely on the econometrician's ability to reconstruct from observables the conditional probabilities that entered each bidder's equilibrium optimization problem; when bidders condition on unobservables, it is not obvious that this is possible. Here we discuss several approaches to identification developed in recent work on first-price auctions with unobserved heterogeneity. Despite the special challenges of this setting, all of the approaches build on insights developed in other areas of econometrics, including those on control functions, measurement error, and mixture models. Because each strategy relies on different combinations of model restrictions, technical assumptions, and data requirements, their relative attractiveness will vary with the application. However, this varied menu of results suggests both a type of robustness of identifiability and the potential for expanding the frontier with additional work.
