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Identification of Standard Auction Models

Author

Listed:
  • Susan Athey

    (Stanford University)

  • Philip A. Haile

    (University of Wisconsin)

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.

Suggested Citation

  • Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
  • Handle: RePEc:ecm:emetrp:v:70:y:2002:i:6:p:2107-2140
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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. Isabelle Perrigne & Quang Vuong, 1999. "Structural Econometrics of First-price Auctions: A Survey of Methods," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 47(3), pages 203-223, November.
    3. 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.
    4. Glenn W. Harrison & John A. List, 2004. "Field Experiments," Journal of Economic Literature, American Economic Association, vol. 42(4), pages 1009-1055, December.
    5. 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, February.
    6. Susan Athey & Jonathan Levin, 2001. "Information and Competition in U.S. Forest Service Timber Auctions," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 375-417, April.
    7. Heckman, James J & Honore, Bo E, 1990. "The Empirical Content of the Roy Model," Econometrica, Econometric Society, vol. 58(5), pages 1121-1149, September.
    8. Laffont, Jean-Jacques & Vuong, Quang, 1993. "Structural econometric analysis of descending auctions," European Economic Review, Elsevier, vol. 37(2-3), pages 329-341, April.
    9. Matthews, Steven, 1987. "Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View," Econometrica, Econometric Society, vol. 55(3), pages 633-646, May.
    10. Paarsch, H.J., 1992. "Empirical Models of Auctions and an Application to British Columbian Timber Sales," University of Western Ontario, Departmental Research Report Series 9212, University of Western Ontario, Department of Economics.
    11. Philip A. Haile, 2001. "Auctions with Resale Markets: An Application to U.S. Forest Service Timber Sales," American Economic Review, American Economic Association, vol. 91(3), pages 399-427, June.
    12. Robert Wilson, 1998. "Sequential equilibria of asymmetric ascending auctions: The case of log-normal distributions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 433-440.
    13. Robert B. Wilson, 2021. "Strategic Analysis of Auctions," Econometrica, Econometric Society, vol. 89(2), pages 555-561, March.
    14. Han, Aaron & Hausman, Jerry A, 1990. "Flexible Parametric Estimation of Duration and Competing Risk Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(1), pages 1-28, January-M.
    15. Hendricks, Kenneth & Porter, Robert H, 1988. "An Empirical Study of an Auction with Asymmetric Information," American Economic Review, American Economic Association, vol. 78(5), pages 865-883, December.
    16. Laffont, Jean-Jacques & Vuong, Quang, 1996. "Structural Analysis of Auction Data," American Economic Review, American Economic Association, vol. 86(2), pages 414-420, May.
    17. Balasubramanian, K. & Balakrishnan, N., 1994. "Equivalence of relations for order statistics for exchangeable and arbitrary cases," Statistics & Probability Letters, Elsevier, vol. 21(5), pages 405-407, December.
    18. Kenneth Hendricks & Harry J. Paarsch, 1995. "A Survey of Recent Empirical Work Concerning Auctions," Canadian Journal of Economics, Canadian Economics Association, vol. 28(2), pages 403-426, May.
    19. Lucking-Reiley, David, 2000. "Auctions on the Internet: What's Being Auctioned, and How?," Journal of Industrial Economics, Wiley Blackwell, vol. 48(3), pages 227-252, September.
    20. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    21. Laffont, Jean-Jacques & Ossard, Herve & Vuong, Quang, 1995. "Econometrics of First-Price Auctions," Econometrica, Econometric Society, vol. 63(4), pages 953-980, July.
    22. R. Preston McAfee & John McMillan, 1996. "Analyzing the Airwaves Auction," Journal of Economic Perspectives, American Economic Association, vol. 10(1), pages 159-175, Winter.
    23. Kenneth Hendricks & Joris Pinkse & Robert H. Porter, 2003. "Empirical Implications of Equilibrium Bidding in First-Price, Symmetric, Common Value Auctions," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 115-145.
    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. 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.
    26. Philip A. Haile & Elie Tamer, 2003. "Inference with an Incomplete Model of English Auctions," Journal of Political Economy, University of Chicago Press, vol. 111(1), pages 1-51, February.
    27. R. Preston McAfee & Wendy Takacs & Daniel R. Vincent, 1999. "Tariffying Auctions," RAND Journal of Economics, The RAND Corporation, vol. 30(1), pages 158-179, Spring.
    28. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
    29. Matt Shum & Phil Haile & Han Hong, 2003. "Nonparametric Tests for Common Values in First-Price Auctions," Economics Working Paper Archive 501, The Johns Hopkins University,Department of Economics.
    30. repec:adr:anecst:y:1994:i:34:p:05 is not listed on IDEAS
    31. Crandall, Robert W, 1998. "New Zealand Spectrum Policy: A Model for the United States?," Journal of Law and Economics, University of Chicago Press, vol. 41(2), pages 821-840, October.
    32. Matthew Shum, 2000. "Nonparametric Tests for Common Values," Econometric Society World Congress 2000 Contributed Papers 1598, Econometric Society.
    33. Guerre, E. & Perrigne, I. & Vuong, Q., 1995. "Nonparametric Estimation of First-Price Auctions," Papers 9504, Southern California - Department of Economics.
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