Identification and Estimation of Auction Models with Unobserved Heterogeneity

In many procurement auctions, the bidders' unobserved costs depend both on a common shock and on idiosyncratic private information. Assuming a multiplicative structure, I derive sufficient conditions under which the model is identified and propose a non-parametric estimation procedure that results in uniformly consistent estimators of the cost components' distributions. The estimation procedure is applied to data from Michigan highway procurement auctions. Private information is estimated to account for 34% of the variation in bidders' costs. It is shown that accounting for unobserved auction heterogeneity has important implications for the evaluation of the distribution of rents, efficiency, and optimal auction design. Copyright 2011, Oxford University Press.

[1]  Susan Athey,et al.  Identification of Standard Auction Models , 2000 .

[2]  Arnold J Stromberg,et al.  Subsampling , 2001, Technometrics.

[3]  Quang Vuong,et al.  Nonparametric Identification of Risk Aversion in First‐Price Auctions Under Exclusion Restrictions , 2009 .

[4]  Jun Nakabayashi Small business set-asides in procurement auctions: An empirical analysis , 2013 .

[5]  B. L. S. Prakasa Rao,et al.  Identifiability in stochastic models , 1992 .

[6]  Tauno Palva,et al.  Pages 26-35 , 2001 .

[7]  J. Laffont,et al.  ECONOMETRICS OF FIRST-PRICE AUCTIONS , 1995 .

[8]  T. Rao,et al.  Identifiability in stochastic models : characterization of probability distributions , 1994 .

[9]  Quang Vuong,et al.  Conditionally independent private information in OCS wildcat auctions , 2000 .

[10]  Jean-Jacques Laffont,et al.  Structural Analysis of Auction Data , 1996 .

[11]  Q. Vuong,et al.  Optimal Nonparametric Estimation of First-price Auctions , 2000 .

[12]  Harry J. Paarsch,et al.  Identification, Estimation, and Testing in Parametric Empirical Models of Auctions within the Independent Private Values Paradigm , 1996, Econometric Theory.

[13]  Matthias Dahm,et al.  Competition for Procurement Shares , 2011, Games Econ. Behav..

[14]  Marianthi Markatou,et al.  Semiparametric Estimation Of Regression Models For Panel Data , 1993 .

[15]  Quang Vuong,et al.  Auctioning and Bargaining : An Econometric Study of Timber Auctions with Secret Reservation Prices , 1997 .

[16]  Tong Li,et al.  Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators , 1998 .

[17]  J. Kingman Uses of Exchangeability , 1978 .

[18]  Kyungchul Song Testing Conditional Independence via Rosenblatt Transforms , 2007 .

[19]  Disadvantaged business enterprise goals in government procurement contracting: An analysis of bidding behavior and costs ☆ , 2011 .

[20]  Harry J. Paarsch,et al.  Piecewise Pseudo-maximum Likelihood Estimation in Empirical Models of Auctions , 1993 .

[21]  Steven Tadelis,et al.  Incentives Versus Transaction Costs: A Theory of Procurement Contracts , 2001 .

[22]  Martin Pesendorfer,et al.  Estimation of a Dynamic Auction Game , 2001 .

[23]  Stephanie Houghton,et al.  Bidding for Incomplete Contracts: An Empirical Analysis , 2006 .

[24]  Quang Vuong,et al.  Asymmetry in first-price auctions with affiliated private values , 2003 .

[25]  R. Porter,et al.  Detection of Bid Rigging in Procurement Auctions , 1992, Journal of Political Economy.

[26]  H. White,et al.  A NONPARAMETRIC HELLINGER METRIC TEST FOR CONDITIONAL INDEPENDENCE , 2008, Econometric Theory.

[27]  M. Rosenblatt Remarks on a Multivariate Transformation , 1952 .

[28]  Peter J. Diggle,et al.  A Fourier Approach to Nonparametric Deconvolution of a Density Estimate , 1993 .

[29]  Bill Ravens,et al.  An Introduction to Copulas , 2000, Technometrics.

[30]  Q. Vuong,et al.  Structural Estimation of the Affliated Private Value Auction Model , 2002 .

[31]  E. Mammen,et al.  Comparing Nonparametric Versus Parametric Regression Fits , 1993 .

[32]  H. White,et al.  SOME EXTENSIONS OF A LEMMA OF KOTLARSKI , 2012, Econometric Theory.

[33]  Lixin Ye,et al.  Deciding Between Competition and Collusion , 2003, Review of Economics and Statistics.

[34]  Quang Vuong,et al.  First-Price Sealed-Bid Auctions with Secret Reservation Prices , 1994 .

[35]  H. Hong Increasing Competition and the Winner's Curse: Evidence from Procurement , 2002 .

[36]  Jianqing Fan On the Optimal Rates of Convergence for Nonparametric Deconvolution Problems , 1991 .

[37]  Gaurab Aryal,et al.  Testing for Collusion in Asymmetric First-Price Auctions , 2013 .

[38]  Ignacy I. Kotlarski On some characterization of probability distributions in Hilbert spaces , 1966 .

[39]  Joel L. Horowitz,et al.  Bootstrap Critical Values for Tests Based on Generalized-Method-of-Moments Estimators , 1996 .

[40]  Yingyao Hu,et al.  Identification of first-price auctions with non-separable unobserved heterogeneity , 2011 .

[41]  Han Hong,et al.  Nonparametric Tests for Common Values at First-Price Sealed-Bid Auctions , 2003 .

[42]  Katja Seim,et al.  Bid Preference Programs and Participation in Highway Procurement Auctions , 2011 .

[43]  C. Genest Frank's family of bivariate distributions , 1987 .