IDEAS home Printed from https://ideas.repec.org/a/eee/eecrev/v173y2025ics0014292125000108.html
   My bibliography  Save this article

Coasian equilibria in sequential auctions

Author

Listed:
  • Liu, Qingmin
  • Mierendorff, Konrad
  • Shi, Xianwen

Abstract

We study stationary equilibria in a sequential auction setting. A seller runs a sequence of standard first-price or second-price auctions to sell an indivisible object to potential buyers. The seller can commit to the rule of the auction and the reserve price of the current period but not to reserve prices of future periods. We prove the existence of stationary equilibria and establish a uniform Coase conjecture—as the period length goes to zero, the seller’s profit from running sequential auctions converges to the profit of running an efficient auction uniformly across all points in time and all symmetric stationary equilibria.

Suggested Citation

  • Liu, Qingmin & Mierendorff, Konrad & Shi, Xianwen, 2025. "Coasian equilibria in sequential auctions," European Economic Review, Elsevier, vol. 173(C).
  • Handle: RePEc:eee:eecrev:v:173:y:2025:i:c:s0014292125000108
    DOI: 10.1016/j.euroecorev.2025.104960
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0014292125000108
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.euroecorev.2025.104960?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ausubel, Lawrence M & Deneckere, Raymond J, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Econometrica, Econometric Society, vol. 57(3), pages 511-531, May.
    2. Laura Doval & Vasiliki Skreta, 2022. "Mechanism Design With Limited Commitment," Econometrica, Econometric Society, vol. 90(4), pages 1463-1500, July.
    3. Larry M. Ausubel & Raymond J. Deneckere, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Levine's Working Paper Archive 201, David K. Levine.
    4. Qingmin Liu & Konrad Mierendorff & Xianwen Shi & Weijie Zhong, 2019. "Auctions with Limited Commitment," American Economic Review, American Economic Association, vol. 109(3), pages 876-910, March.
    5. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
    6. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February.
    7. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    8. Vasiliki Skreta, 2006. "Sequentially Optimal Mechanisms -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 1085-1111.
    9. Drew Fudenberg & David K. Levine & Jean Tirole, 1985. "Infinite-Horizon Models of Bargaining with One-Sided Incomplete Information," Levine's Working Paper Archive 1098, David K. Levine.
    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. Hannu Vartiainen, 2003. "Auction Design without Commitment," Working Papers 2003.24, Fondazione Eni Enrico Mattei.
    2. Doval, Laura & Skreta, Vasiliki, 2024. "Optimal mechanism for the sale of a durable good," Theoretical Economics, Econometric Society, vol. 19(2), May.
    3. Devanur, Nikhil R. & Peres, Yuval & Sivan, Balasubramanian, 2019. "Perfect Bayesian Equilibria in repeated sales," Games and Economic Behavior, Elsevier, vol. 118(C), pages 570-588.
    4. Arieh Gavious & Ella Segev, 2017. "Price Discrimination Based on Buyers’ Purchase History," Dynamic Games and Applications, Springer, vol. 7(2), pages 229-265, June.
    5. Laura Doval & Vasiliki Skreta, 2022. "Mechanism Design With Limited Commitment," Econometrica, Econometric Society, vol. 90(4), pages 1463-1500, July.
    6. Beccuti, Juan & Möller, Marc, 2021. "Screening by mode of trade," Games and Economic Behavior, Elsevier, vol. 129(C), pages 400-420.
    7. Johannes Hörner & Larry Samuelson, 2011. "Managing Strategic Buyers," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 379-425.
    8. Patrick Hummel, 2018. "Reserve prices in repeated auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 273-299, March.
    9. R. Preston Mcafee & Thomas Wiseman, 2008. "Capacity Choice Counters the Coase Conjecture," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 317-331.
    10. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February.
    11. Chang, Dongkyu & Lee, Jong Jae, 2022. "Price skimming: Commitment and delay in bargaining with outside option," Journal of Economic Theory, Elsevier, vol. 205(C).
    12. Bradley J Larsen, 2021. "The Efficiency of Real-World Bargaining: Evidence from Wholesale Used-Auto Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(2), pages 851-882.
    13. Hannu Vartiainen, 2013. "Auction Design Without Commitment," Journal of the European Economic Association, European Economic Association, vol. 11(2), pages 316-342, April.
    14. James J. Anton & Gary Biglaiser, 2010. "Quality, Upgrades, and Equilibrium in a Dynamic Monopoly Model," Working Papers 10-36, Duke University, Department of Economics.
    15. James J. Anton & Gary Biglaiser, 2007. "Quality Upgrades and the (loss) of Market Power in a Dynamic Monopoly Model," Working Papers 18, Portuguese Competition Authority.
    16. Sandro Brusco & Hugo Hopenhayn, 2007. "Deregulation with consensus," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(1), pages 223-250, July.
    17. David Nickerson & Asha Sadanand & Venkatraman Sadanand, 1994. "Strategic delay and endogenous offers in bargaining games with private information," Journal of Economics, Springer, vol. 60(2), pages 125-154, June.
    18. Cabral, Luis M. B. & Salant, David J. & Woroch, Glenn A., 1999. "Monopoly pricing with network externalities," International Journal of Industrial Organization, Elsevier, vol. 17(2), pages 199-214, February.
    19. Roman Inderst, 2008. "Dynamic Bilateral Bargaining under Private Information with a Sequence of Potential Buyers," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(1), pages 220-236, January.
    20. Raymond Deneckere & James Peck, 2012. "Dynamic Competition With Random Demand and Costless Search: A Theory of Price Posting," Econometrica, Econometric Society, vol. 80(3), pages 1185-1247, May.

    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:eee:eecrev:v:173:y:2025:i:c:s0014292125000108. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eer .

    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.