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Identification of standard auction models

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  • Athey,S.
  • Haile,P.A.

    (University of Wisconsin-Madison, Social Systems Research Institute)

Abstract

This paper presents new identification results for models of first-price, second-price, ascending (English), and descending (Dutch) auctions. We consider a general specification of the latent demand and information structure, nesting both private values and common values models, and allowing correlated types as well as ex ante asymmetry. We address identification of a series of nested models and derive testable restrictions enabling discrimination between models on the basis of observed data. The simplest model--symmetric independent private values--is nonparametrically identified even if only the transaction price from each auction is observed. For richer models, identification and testable restrictions may be obtained when additional information of one or more of the following types is available: (i) the identity of the winning bidder or other bidders; (ii) one or more bids in addition to the transaction price; (iii) exogenous variation in the number of bidders; (iv) bidder-specific covariates. While many private values (PV) models are nonparametrically identified and testable with commonly available data, identification of common values (CV) models requires stringent assumptions. Nonetheless, the PV model can be tested against the CV alternative, even when neither model is identified. Copyright The Econometric Society 2002.

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Bibliographic Info

Paper provided by Wisconsin Madison - Social Systems in its series Working papers with number 13.

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Date of creation: 2000
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Handle: RePEc:att:wimass:200013

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Postal: UNIVERSITY OF WISCONSIN MADISON, SOCIAL SYSTEMS RESEARCH INSTITUTE(S.S.R.I.), MADISON WISCONSIN 53706 U.S.A.

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References

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  10. Richard Engelbrecht-Wiggans & John A. List & David H. Reiley, 2006. "Demand Reduction In Multi-Unit Auctions With Varying Numbers Of Bidders: Theory And Evidence From A Field Experiment ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(1), pages 203-231, 02.
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  24. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  25. Robert Wilson, 1998. "Sequential equilibria of asymmetric ascending auctions: The case of log-normal distributions," Economic Theory, Springer, vol. 12(2), pages 433-440.
  26. Paarsch, Harry J., 1992. "Deciding between the common and private value paradigms in empirical models of auctions," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 191-215.
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