IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2409.04047.html
   My bibliography  Save this paper

Uniform price auction with quantity constraints

Author

Listed:
  • Kiho Yoon

Abstract

We study the equilibria of uniform price auctions where bidders have flat demands up to their respective quantity constraints. We present an iterative procedure that systematically finds a Nash equilibrium outcome under semi-complete information as well as a novel ascending auction under incomplete information that has this outcome as a dominant strategy equilibrium. Demand reduction and low price equilibrium may occur since it is sometimes advantageous for a bidder to give up some of his/her demand and get the remaining demand at a low price rather than to get his/her entire demand at a higher price.

Suggested Citation

  • Kiho Yoon, 2024. "Uniform price auction with quantity constraints," Papers 2409.04047, arXiv.org.
  • Handle: RePEc:arx:papers:2409.04047
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2409.04047
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, September.
    2. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 675-689.
    3. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
    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. Haoran He & Yefeng Chen, 2021. "Auction mechanisms for allocating subsidies for carbon emissions reduction: an experimental investigation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(2), pages 387-430, August.
    2. Kashyap, Ravi, 2018. "Auction theory adaptations for real life applications," Research in Economics, Elsevier, vol. 72(4), pages 452-481.
    3. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    4. Marco Pagnozzi, 2007. "Should Speculators Be Welcomed in Auctions?," CSEF Working Papers 176, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    5. Josheski Dushko & Karamazova Elena, 2021. "Auction theory and a note on game mechanisms," Croatian Review of Economic, Business and Social Statistics, Sciendo, vol. 7(1), pages 43-59, May.
    6. Nuno Cassola & Ali Hortaçsu & Jakub Kastl, 2013. "The 2007 Subprime Market Crisis Through the Lens of European Central Bank Auctions for Short‐Term Funds," Econometrica, Econometric Society, vol. 81(4), pages 1309-1345, July.
    7. Burkett, Justin & Woodward, Kyle, 2020. "Uniform price auctions with a last accepted bid pricing rule," Journal of Economic Theory, Elsevier, vol. 185(C).
    8. Peyman Khezr & Anne Cumpston, 2022. "A review of multiunit auctions with homogeneous goods," Journal of Economic Surveys, Wiley Blackwell, vol. 36(4), pages 1225-1247, September.
    9. Ravi Kashyap, 2018. "Auction Theory Adaptations for Real Life Applications," Papers 1810.01736, arXiv.org, revised May 2019.
    10. Natalia Fabra & Gerard Llobet, 2023. "Auctions with Privately Known Capacities: Understanding Competition Among Renewables," The Economic Journal, Royal Economic Society, vol. 133(651), pages 1106-1146.
    11. Pagnozzi, Marco, 2009. "Resale and bundling in auctions," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 667-678, November.
    12. Baule, Rainer, 2014. "Allocation of risk capital on an internal market," European Journal of Operational Research, Elsevier, vol. 234(1), pages 186-196.
    13. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    14. Mikhail Chernov & Alexander S. Gorbenko & Igor Makarov, 2013. "CDS Auctions," The Review of Financial Studies, Society for Financial Studies, vol. 26(3), pages 768-805.
    15. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2019. "On competitive nonlinear pricing," Theoretical Economics, Econometric Society, vol. 14(1), January.
    16. Nyborg, Kjell G. & Sundaresan, Suresh, 1996. "Discriminatory versus uniform Treasury auctions: Evidence from when-issued transactions," Journal of Financial Economics, Elsevier, vol. 42(1), pages 63-104, September.
    17. Zhang, Ning, 2009. "Market performance and bidders' bidding behavior in the New York Transmission Congestion Contract market," Energy Economics, Elsevier, vol. 31(1), pages 61-68, January.
    18. Manzano, Carolina & Vives, Xavier, 2021. "Market power and welfare in asymmetric divisible good auctions," Theoretical Economics, Econometric Society, vol. 16(3), July.
    19. Atakelty Hailu & Sophie Thoyer, 2006. "Multi-unit auction format design," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 1(2), pages 129-146, November.
    20. Fabra, Natalia & de Frutos, Maria-Angeles, 2008. "On the Impact of Forward Contract Obligations in Multi-Unit Auctions," CEPR Discussion Papers 6756, C.E.P.R. Discussion Papers.

    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:2409.04047. 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: http://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.