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Identification of first-price auctions with non-separable unobserved heterogeneity

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  • Hu, Yingyao
  • McAdams, David
  • Shum, Matthew

Abstract

We propose a novel methodology for identification of first-price auctions, when bidders’ private valuations are independent conditional on one-dimensional unobserved heterogeneity. We extend the existing literature (Li and Vuong, 1998; Krasnokutskaya, 2011) by allowing the unobserved heterogeneity to be non-separable from bidders’ valuations. Our central identifying assumption is that the distribution of bidder values is increasing in the state. When the state-space is finite, such monotonicity implies the full-rank condition needed for identification. Further, we extend our approach to the conditionally independent private values model of Li et al. (2000), as well as to unobserved heterogeneity settings in which the implicit reserve price or the cost of bidding varies across auctions.

Suggested Citation

  • Hu, Yingyao & McAdams, David & Shum, Matthew, 2013. "Identification of first-price auctions with non-separable unobserved heterogeneity," Journal of Econometrics, Elsevier, vol. 174(2), pages 186-193.
  • Handle: RePEc:eee:econom:v:174:y:2013:i:2:p:186-193
    DOI: 10.1016/j.jeconom.2013.02.005
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    References listed on IDEAS

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    1. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2000. "Optimal Nonparametric Estimation of First-Price Auctions," Econometrica, Econometric Society, vol. 68(3), pages 525-574, May.
    2. Tong Li & Isabelle Perrigne, 2003. "Timber Sale Auctions with Random Reserve Prices," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 189-200, February.
    3. McAdams, David, 2007. "Uniqueness in symmetric first-price auctions with affiliation," Journal of Economic Theory, Elsevier, vol. 136(1), pages 144-166, September.
    4. Tong Li & Xiaoyong Zheng, 2009. "Entry and Competition Effects in First-Price Auctions: Theory and Evidence from Procurement Auctions," Review of Economic Studies, Oxford University Press, vol. 76(4), pages 1397-1429.
    5. Li, Tong & Perrigne, Isabelle & Vuong, Quang, 2000. "Conditionally independent private information in OCS wildcat auctions," Journal of Econometrics, Elsevier, vol. 98(1), pages 129-161, September.
    6. Samuelson, William F., 1985. "Competitive bidding with entry costs," Economics Letters, Elsevier, vol. 17(1-2), pages 53-57.
    7. Elena Krasnokutskaya, 2012. "Identification And Estimation Of Auction Model With Two‐Dimensional Unobserved Heterogeneity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(3), pages 659-692, August.
    8. Li, Tong & Vuong, Quang, 1998. "Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 139-165, May.
    9. Tong Li & Isabelle Perrigne & Quang Vuong, 2002. "Structural Estimation of the Affliated Private Value Auction Model," RAND Journal of Economics, The RAND Corporation, vol. 33(2), pages 171-193, Summer.
    10. Lebrun, Bernard, 1998. "Comparative Statics in First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 97-110, October.
    11. Elena Krasnokutskaya, 2011. "Identification and Estimation of Auction Models with Unobserved Heterogeneity," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 293-327.
    12. James W. Roberts, 2009. "Unobserved Heterogeneity and Reserve Prices in Auctions," Working Papers 10-80, Duke University, Department of Economics.
    13. Brisset Karine & Naegelen Florence, 2006. "Why the Reserve Price Should Not Be Kept Secret," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-17, April.
    14. Hu, Yingyao, 2008. "Identification and estimation of nonlinear models with misclassification error using instrumental variables: A general solution," Journal of Econometrics, Elsevier, vol. 144(1), pages 27-61, May.
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    Citations

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    Cited by:

    1. Yusuke Matsuki, 2016. "A Distribution-Free Test of Monotonicity with an Application to Auctions," Working Papers e110, Tokyo Center for Economic Research.
    2. Young Jun Lee & Daniel Wilhelm, 2019. "Testing for the presence of measurement error in Stata," CeMMAP working papers CWP47/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    3. Philip A. Haile & Yuichi Kitamura, 2018. "Unobserved Heterogeneity in Auctions," Cowles Foundation Discussion Papers 2141, Cowles Foundation for Research in Economics, Yale University.
    4. Matthew Gentry & Tong Li, 2014. "Identification in Auctions With Selective Entry," Econometrica, Econometric Society, vol. 82(1), pages 315-344, January.
    5. Hu, Yingyao & Schennach, Susanne M. & Shiu, Ji-Liang, 2017. "Injectivity of a class of integral operators with compactly supported kernels," Journal of Econometrics, Elsevier, vol. 200(1), pages 48-58.
    6. Victor H. Aguiar & Nail Kashaev, 2019. "Discrete Choice and Welfare Analysis with Unobserved Choice Sets," Papers 1907.04853, arXiv.org, revised Jul 2019.
    7. Yao Luo, 2018. "Unobserved Heterogeneity in Auctions under Restricted Stochastic Dominance," Working Papers tecipa-606, University of Toronto, Department of Economics.
    8. Ma, Jun & Marmer, Vadim & Shneyerov, Artyom, 2019. "Inference for first-price auctions with Guerre, Perrigne, and Vuong’s estimator," Journal of Econometrics, Elsevier, vol. 211(2), pages 507-538.
    9. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    10. Ruli Xiao, 2015. "Identification and Estimation of Incomplete Information Games with Multiple Equilibria," CAEPR Working Papers 2015-007, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    11. Giovanni Compiani & Philip A. Haile & Marcelo Sant'Anna, 2018. "Common Values, Unobserved Heterogeneity, and Endogenous Entry in U.S. Offshore Oil Lease Auctions," Cowles Foundation Discussion Papers 2137, Cowles Foundation for Research in Economics, Yale University.
    12. Philip A Haile & Yuichi Kitamura, 2019. "Unobserved heterogeneity in auctions," Econometrics Journal, Royal Economic Society, vol. 22(1), pages 1-19.
    13. An, Yonghong & Hu, Yingyao & Liu, Pengfei, 2018. "Estimating heterogeneous contributing strategies in threshold public goods provision: A structural analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 152(C), pages 124-146.
    14. Giovanni Compiani & Yuichi Kitamura, 2016. "Using mixtures in econometric models: a brief review and some new results," Econometrics Journal, Royal Economic Society, vol. 19(3), pages 95-127, October.
    15. An, Yonghong, 2017. "Identification of first-price auctions with non-equilibrium beliefs: A measurement error approach," Journal of Econometrics, Elsevier, vol. 200(2), pages 326-343.
    16. Grundl, Serafin & Zhu, Yu, 2019. "Identification and estimation of risk aversion in first-price auctions with unobserved auction heterogeneity," Journal of Econometrics, Elsevier, vol. 210(2), pages 363-378.
    17. Joachim Freyberger & Bradley J. Larsen, 2017. "Identification in Ascending Auctions, with an Application to Digital Rights Management," NBER Working Papers 23569, National Bureau of Economic Research, Inc.
    18. Young Jun Lee & Daniel Wilhelm, 2018. "Testing for the presence of measurement error in Stata," CeMMAP working papers CWP51/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    19. Aryal, Gaurab & Grundl, Serafin & Kim, Dong-Hyuk & Zhu, Yu, 2018. "Empirical relevance of ambiguity in first-price auctions," Journal of Econometrics, Elsevier, vol. 204(2), pages 189-206.

    More about this item

    Keywords

    Auction models; Nonparametric identification; Unobserved heterogeneity; Monotonicity;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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