IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2609.21168.html

Auctions as Experiments

Author

Listed:
  • Mira Frick
  • Ryota Iijima
  • Yuhta Ishii
  • Nicholas Wu

Abstract

Consider an auction with buyers whose values depend on an underlying state (e.g., market fundamentals). How does the auction format shape the information that buyers' bids reveal about the state? We recast auctions as statistical experiments and compare different auction formats in terms of the (Lehmann) informativeness of the induced experiments. Our main finding is that among a large class of auctions (e.g., $k$th-price, all-pay), the first-price auction is the most informative. As a result, this auction guarantees the highest payoffs to a decision-maker who uses the information revealed by buyers' bids in a monotone decision problem (e.g., a prediction problem or the choice of a reserve price in a future auction).

Suggested Citation

  • Mira Frick & Ryota Iijima & Yuhta Ishii & Nicholas Wu, 2026. "Auctions as Experiments," Papers 2609.21168, arXiv.org.
  • Handle: RePEc:arx:papers:2609.21168
    as

    Download full text from publisher

    File URL: https://arxiv.org/pdf/2609.21168
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rothschild, Michael, 1974. "A two-armed bandit theory of market pricing," Journal of Economic Theory, Elsevier, vol. 9(2), pages 185-202, October.
    2. Marek Pycia & Kyle Woodward, 2026. "A Case for Pay-as-Bid Auctions," Journal of Political Economy, University of Chicago Press, vol. 134(2), pages 795-845.
    3. Haile, Philip A., 2003. "Auctions with private uncertainty and resale opportunities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 72-110, January.
    4. Martin Mihelich & Yan Shu, 2019. "Analytical solution of $k$th price auction," Papers 1911.04865, arXiv.org, revised Jun 2020.
    5. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 511-518.
    6. Martin Mihelich & Yan Shu, 2020. "Analytical solution of kth price auction," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 875-884, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Ruqu & Zhang, Jun, 2010. "Common Value Auctions with Return Policies," Queen's Economics Department Working Papers 273735, Queen's University - Department of Economics.
    2. Goel, Sumit & Zeidel, Jeffrey, 2025. "An efficiency ordering of k-price auctions under complete information," Economics Letters, Elsevier, vol. 255(C).
    3. Bernard Lebrun, 2008. "First-Price, Second-Price, and English Auctions with Resale," Working Papers 2008_06, York University, Department of Economics.
    4. Ruqu Wang & Jun Zhang, 2010. "Common Value Auctions With Return Policies," Working Paper 1235, Economics Department, Queen's University.
    5. Max R. Blouin & Roberto Serrano, 2001. "A Decentralized Market with Common Values Uncertainty: Non-Steady States," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 323-346.
    6. 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.
    7. Haile,P.A., 1999. "Auctions with resale," Working papers 33, Wisconsin Madison - Social Systems.
    8. Sylvain Chassang, 2010. "Building Routines: Learning, Cooperation, and the Dynamics of Incomplete Relational Contracts," American Economic Review, American Economic Association, vol. 100(1), pages 448-465, March.
    9. Martin Peitz & Sven Rady & Piers Trepper, 2017. "Experimentation in Two-Sided Markets," Journal of the European Economic Association, European Economic Association, vol. 15(1), pages 128-172.
    10. Keller, Godfrey & Novák, Vladimír & Willems, Tim, 2019. "A note on optimal experimentation under risk aversion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 476-487.
    11. Tinglong Dai & Xiaofang Wang & Chao-Wei Hwang, 2022. "Clinical Ambiguity and Conflicts of Interest in Interventional Cardiology Decision Making," Manufacturing & Service Operations Management, INFORMS, vol. 24(2), pages 864-882, March.
    12. Celik, Levent, 2016. "Competitive provision of tune-ins under common private information," International Journal of Industrial Organization, Elsevier, vol. 44(C), pages 113-122.
    13. Johannes Hörner & Larry Samuelson, 2013. "Incentives for experimenting agents," RAND Journal of Economics, RAND Corporation, vol. 44(4), pages 632-663, December.
    14. Juan Carlos Berganza, 1998. "Relationships Between Politicians and Voters Through Elections: A Review Essay," Working Papers wp1998_9809, CEMFI.
    15. Frewer, Geoff, "undated". "Optimal Destabilisation, Active Learning, and the Choice of Step Length in Policy Reform," Economic Research Papers 269230, University of Warwick - Department of Economics.
    16. Veronika Grimm, 2004. "On Procurement Auctions Of Complementary Goods," Working Papers. Serie AD 2004-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    17. Alejandro N√∫nez Arroyo, 2018. "Information seeking with selective memory," Documentos CEDE 17131, Universidad de los Andes, Facultad de Economía, CEDE.
    18. Ankur Chavda & Joshua S. Gans & Scott Stern, 2024. "Theory-Based Entrepreneurial Search," Strategy Science, INFORMS, vol. 9(4), pages 397-415, December.
    19. Sara Castellanos, 2001. "Mexican treasury securities primary auctions," Theory workshop papers 357966000000000025, UCLA Department of Economics.
    20. Alexander Matros, 2006. "Optimal Mechanisms for an Auction Mediator," Working Paper 202, Department of Economics, University of Pittsburgh, revised Jan 2006.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2609.21168. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: https://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.