Essays On Nonparametric Identification And Estimation Of All Pay Auctions And Contests
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Essays On Nonparametric Identification And Estimation Of All Pay Auctions And Contests
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Author : Ksenia Shakhgildyan
language : en
Publisher:
Release Date : 2019
Essays On Nonparametric Identification And Estimation Of All Pay Auctions And Contests written by Ksenia Shakhgildyan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
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.
Three Essays On All Pay Auctions
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Author : Minbo Xu
language : en
Publisher:
Release Date : 2013
Three Essays On All Pay Auctions written by Minbo Xu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Economics categories.
The dissertation includes three research papers on all-pay auctions. The first paper (Chapter 1) considers an all-pay auction for a product in which there is an option for bidders to guarantee purchases at a seller specified posted price P at any time. We find the symmetric pure-strategy equilibria in the first- and second-price all-pay auctions (also called war of attrition) with a buy-price option. Under these equilibria the buy-price option will affect high-value bidders' behavior, and improve their welfare. At the same time, the seller can select the optimal posted price to collect more revenue, and the Revenue Equivalence Theorem holds as well. The second paper (Chapter 2) conducts empirical analysis on online penny auctions, which are seen as an adaptation of the famous dollar auction and as "the evil stepchild of game theory and behavioral economics." We use the complete bid and bidder history at a website to study if penny auctions can sustain excessive profits over time. The overwhelming majority of new bidders lose money, but they quit quickly. A very small percentage of bidders are experienced and strategically sophisticated, but they earn substantial profits. Our evidence thus suggests that penny auctions cannot sustain excessive profits without attracting a revolving door of new customers who will lose money. The third paper (Chapter 3) proposes a nonparametric estimation approach to empirical analysis of the war of attrition. In order to construct a tractable model, we consider the uncertain competition and derive a structural model with a stochastic number of bidders. We admit the contamination from observables and introduce a deconvolution problem with heteroscedastic errors into the nonparametric approach. By a two-step nonparametric procedure, we can attain a consistent estimator of the distribution of bidders' private values from the observables. Finally, we apply the estimation procedure to field data from penny auctions.
Nonparametric Identification And Estimation Of K Double Auctions
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Author : Huihui Li
language : en
Publisher:
Release Date : 2016
Nonparametric Identification And Estimation Of K Double Auctions written by Huihui Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
This dissertation consists of two chapters on nonparametrically identifying and estimating the sealed-bid k-double auction models between single buyer and single seller.Chapter 1: Nonparametric Identification and Estimation of k-Double Auctions Using Bid DataThis chapter studies the nonparametric identification and estimation of double auctions with one buyer and one seller. This model assumes that both bidders submit their own sealed bids, and the transaction price is determined by a weighted average between the submitted bids when the buyers offer is higher than the sellers ask. It captures the bargaining process between two parties. Working within this double auction model, we first establish the nonparametric identification of both the buyers and the sellers private value distributions in two bid data scenarios; from the ideal situation in which all bids are available, to a more realistic setting in which only the transacted bids are available. Specifically, we can identify both private value distributions when all of the bids are observed. However, we can only partially identify the private value distributions on the support with positive (conditional) probability of trade when only the transacted bids are available in the data. Second, we estimate double auctions with bargaining using a two-step procedure that incorporates bias correction. We then show that our value density estimator achieves the same uniform convergence rate as Guerre, Perrigne, and Vuong (2000) for one-sided auctions. Monte Carlo experiments show that, in finite samples, our estimation procedure works well on the whole support and significantly reduces the large bias of the standard estimator without bias correction in both interior and boundary regions.Chapter 2: Nonparametric Identification of k-Double Auctions Using Price DataThis chapter studies the model identification problem of k-double auctions between one buyer and one seller when the transaction price, rather than the traders bids, can be observed. Given that only the price data is available, I explore an identification strategy that utilizes the double auctions with extreme pricing weight (k=1 or 0) and exclusive covariates that shift only one traders value distribution to identify both the buyers and the sellers value distributions nonparametrically. First, as each exclusive covariate can take at least two values, the buyers and the sellers value distributions are partially identified from the price distribution for k=1 or k=0. The identified set is sharp and can be easily computed. I provide a set of sufficient conditions under which the traders value distributions are point identified. Second, when the exclusive covariates are continuous, it is shown that the buyers and the sellers value distributions will be uniquely determined by a partial differential equation that only depends on the price distribution, provided that the value distributions are known for at least one value of the exclusive covariates.
Identification And Estimation Of Auction Models With A Random Number Of Bidders
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Author :
language : en
Publisher:
Release Date : 2013
Identification And Estimation Of Auction Models With A Random Number Of Bidders written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
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 Structural Analysis Of Procurement Auctions
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Author : Bin Yu
language : en
Publisher:
Release Date : 2007
Essays On Structural Analysis Of Procurement Auctions written by Bin Yu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
This dissertation addresses the empirical analysis of procurements based on the auction theory, which is known as the structural-form analysis of procurement auctions.
Essays On Empirical Auctions And Related Econometrics
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Author :
language : en
Publisher:
Release Date : 2014
Essays On Empirical Auctions And Related Econometrics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
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 And Estimation Of Multi Unit Sequential Oral Ascending Price Auctions With Asymmetric Bidders
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Author : Bjarne Brendstrup
language : en
Publisher:
Release Date : 2004
Nonparametric Identification And Estimation Of Multi Unit Sequential Oral Ascending Price Auctions With Asymmetric Bidders written by Bjarne Brendstrup and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Auctions categories.
Essays On The Structural Analysis Of Auction Markets
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Author : Marleen Renske Marra
language : en
Publisher:
Release Date : 2019
Essays On The Structural Analysis Of Auction Markets written by Marleen Renske Marra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Essays In Honor Of Cheng Hsiao
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Author : Dek Terrell
language : en
Publisher: Emerald Group Publishing
Release Date : 2020-04-15
Essays In Honor Of Cheng Hsiao written by Dek Terrell and has been published by Emerald Group Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-15 with Business & Economics categories.
Including contributions spanning a variety of theoretical and applied topics in econometrics, this volume of Advances in Econometrics is published in honour of Cheng Hsiao.
Essays On Value Distributions In All Pay Auctions
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Author : Suat Akbulut
language : en
Publisher:
Release Date : 2021
Essays On Value Distributions In All Pay Auctions written by Suat Akbulut and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
This dissertation consists of three chapters. The first chapter studies the value distribution adoption choice of a player when she competes against an incumbent in an all-pay auction setting. The second chapter analyzes how much would a player like to learn about her own valuation in a similar setting. Lastly, the third chapter analyzes the best information disclosure policy that an auctioneer can adopt according to different performance measures in a two-player two-stage all-pay auction setting, where the players choose their value distributions in the first stage. The first chapter considers a two-player all-pay auction setting and modifies it by adding a technology-adoption stage at the beginning of the game. In a discrete valuations environment, assuming one player's valuation is common knowledge, we allow the other player (informed) to pick a distribution over the valuation space. Her opponent (uninformed) observes her choice of distribution. However, her valuation is privately drawn according to this distribution. The two players then play an asymmetric all-pay auction. We show that in such a setting, the informed player adopts a distribution that assigns positive probabilities to at most two elements; that will always contain the supremum, and sometimes, the infimum of the set of available values. She pools the extreme values in order to create an information asymmetry, which then would make the uninformed player bid less aggressively. We later impose a mean condition on the distribution that the informed player could pick and observe that she still prefers to split the probability mass on in-between values to the extreme ones. As a result, she picks the same support but arranges the probability mass on these values to meet the mean condition. In other words, the informed player is first interested in including only the extreme values in the support of her value distribution, and then the probabilities assigned to those values. The second chapter assumes that the informed player's value distribution is common knowledge and that she cannot observe her realized value. However, she can acquire additional information about her realized value by adopting a learning experiment. She picks such an experiment in the first stage. Even though her choice of experiment is observed by the uninformed player, she privately learns the realization of the experiment. Then, they play an all-pay auction in the second stage of the game. Every learning experiment induces a posterior probability distribution over the convex hull of the set of available values. The informed player bids as if her value is drawn from this posterior distribution, where she privately observes her value. Therefore, her problem boils down to choosing a posterior distribution that stochastically dominates the prior in the second-order sense. We show that the informed player's motivation to split the probability mass on in-between types to the extreme types is still present. However, due to the distributional constraints, she will pick a fully informative experiment to learn her value as long as it does not result in her two lowest values bidding zero with a positive probability in the equilibrium of the all-pay auction stage. If that is the case, she would try to mimic the prior distribution for the high types, who will never bid zero, and allocate the remaining probability to only one type to meet the constraint. One natural extension of our analysis is studying the equilibrium value distribution profiles when both players are choosing their own value distribution. When the possible values are only high and low, we show that the profile in which one player picks the high value with probability one while the other player assigns probability half to each values is the unique (up to symmetry) value distribution profile. Moreover, when we consider any set of values, we show that the profile in which one player picks the highest value with probability one, while the other player assigns probability half to the highest and the lowest values each is an equilibrium value distribution profile. Due to the lack of an analytical approach to the equilibrium bidding distributions of the all-pay auctions in an asymmetric information environment, checking whether this equilibrium is unique is left as future work. The last chapter analyzes the best information disclosure policy that an auctioneer can adopt according to different performance measures, namely players' payoff, prize allocation efficiency, and aggregate effort. The significant contribution of the analysis is that players have the ability to choose the distribution from which their own types are drawn. Using a two-player all-pay auction with the two-type setting, we show that the optimal disclosure policy depends on the ratio of the value of winning for a low type to the value of winning for a high type.