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Partial identification and testable restrictions in multi-unit auctions

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  • McAdams, David

Abstract

Bidders' values in discriminatory and uniform-price auctions are not necessarily point-identified under the assumptions of equilibrium bidding and independent private values, but meaningful policy analysis can proceed from bounds on bidder values. This paper provides upper and lower bounds on the set of values that can rationalize a given distribution of bids, under the additional (and standard) assumption of non-increasing marginal values. Novel testable implications of the best response hypothesis are also provided, again under the assumption of non-increasing marginal values.

Suggested Citation

  • McAdams, David, 2008. "Partial identification and testable restrictions in multi-unit auctions," Journal of Econometrics, Elsevier, vol. 146(1), pages 74-85, September.
    • Handle: RePEc:eee:econom:v:146:y:2008:i:1:p:74-85
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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.
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    5. David McAdams, 2006. "Monotone Equilibrium in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 1039-1056.
    6. 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.
    7. Elodie Guerre & I. Perrigne & Q.H. Vuong, 2000. "Optimal nonparametric estimation of first-price auctions [[Estimation nonparamétrique optimale des enchères au premier prix]]," Post-Print hal-02697497, HAL.
    8. Ali Hortaçsu & Steven L. Puller, 2008. "Understanding strategic bidding in multi‐unit auctions: a case study of the Texas electricity spot market," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 86-114, March.
    9. Jakub Kastl, 2011. "Discrete Bids and Empirical Inference in Divisible Good Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 974-1014.
    10. Ali Hortaçsu & David McAdams, 2010. "Mechanism Choice and Strategic Bidding in Divisible Good Auctions: An Empirical Analysis of the Turkish Treasury Auction Market," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 833-865.
    11. Boo‐Sung Kang & Steven L. Puller, 2008. "The Effect Of Auction Format On Efficiency And Revenue In Divisible Goods Auctions: A Test Using Korean Treasury Auctions," Journal of Industrial Economics, Wiley Blackwell, vol. 56(2), pages 290-332, June.
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    2. Le-Yu Chen & Jerzy Szroeter, 2009. "Hypothesis testing of multiple inequalities: the method of constraint chaining," CeMMAP working papers 13/09, Institute for Fiscal Studies.
    3. Kate Ho & Adam M. Rosen, 2015. "Partial Identification in Applied Research: Benefits and Challenges," NBER Working Papers 21641, National Bureau of Economic Research, Inc.
    4. Hickman Brent R. & Hubbard Timothy P. & Sağlam Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Journal of Econometric Methods, De Gruyter, vol. 1(1), pages 67-106, August.
    5. de Castro, Luciano I. & Riascos, Alvaro, 2009. "Characterization of bidding behavior in multi-unit auctions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 559-575, September.
    6. Mar Reguant, 2014. "Complementary Bidding Mechanisms and Startup Costs in Electricity Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1708-1742.
    7. repec:vuw:vuwscr:19224 is not listed on IDEAS
    8. Michele Fioretti & Jorge Tamayo, 2021. "Saving for a Dry Day: Coal, Dams, and the Energy Transition," Working Papers hal-03389152, HAL.
    9. Hortaçsu, Ali, 2011. "Recent progress in the empirical analysis of multi-unit auctions," International Journal of Industrial Organization, Elsevier, vol. 29(3), pages 345-349, May.
    10. Burkett, Justin & Woodward, Kyle, 2020. "Uniform price auctions with a last accepted bid pricing rule," Journal of Economic Theory, Elsevier, vol. 185(C).
    11. Charlotte Grace, 2024. "Competing models of the Bank of England’s liquidity auctions: truthful bidding is a good approximation," Bank of England Staff Working Paper series 1061, Bank of England.
    12. Kastl, Jakub, 2020. "Auctions in financial markets," International Journal of Industrial Organization, Elsevier, vol. 70(C).
    13. Hickman Brent R. & Hubbard Timothy P. & Sağlam Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Journal of Econometric Methods, De Gruyter, vol. 1(1), pages 67-106, August.
    14. Pietro Bonaldi & Mauricio Villamizar-Villegas, 2018. "An Auction-Based Test of Private Information in an Interdealer FX Market," Working papers 1, Red Investigadores de Economía.
    15. Bonaldi, Pietro & Villamizar-Villegas, Mauricio, 2025. "Auction-based tests of inventory control and private information in a centralized interdealer FX market," Journal of Financial Markets, Elsevier, vol. 74(C).
    16. repec:spo:wpecon:info:hdl:2441/1qif9fqehq930ovnr511k1el4f is not listed on IDEAS
    17. Sağlam, Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Working Paper Series 19224, Victoria University of Wellington, The New Zealand Institute for the Study of Competition and Regulation.

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