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, January.
    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. Peter Cramton & Evan Kwerel & Gregory Rosston & Andrzej Skrzypacz, 2011. "Using Spectrum Auctions to Enhance Competition in Wireless Services," Journal of Law and Economics, University of Chicago Press, vol. 54(S4), pages 167-188.
    4. Noussair, Charles, 1995. "Equilibria in a Multi-object Uniform Price Sealed Bid Auction with Multi-unit Demands," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 337-351, March.
    5. 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. 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.
    2. Pagnozzi, Marco, 2009. "Resale and bundling in auctions," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 667-678, November.
    3. 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.
    4. 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.
    5. Dirk Engelmann & Veronika Grimm, 2009. "Bidding Behaviour in Multi-Unit Auctions - An Experimental Investigation," Economic Journal, Royal Economic Society, vol. 119(537), pages 855-882, April.
    6. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    7. Cumpston, Anne & Khezr, Peyman, 2020. "Multi-Unit Auctions: A Survey of Theoretical Literature," MPRA Paper 101336, University Library of Munich, Germany.
    8. LiCalzi, Marco & Pavan, Alessandro, 2005. "Tilting the supply schedule to enhance competition in uniform-price auctions," European Economic Review, Elsevier, vol. 49(1), pages 227-250, January.
    9. Monostori, Zoltán, 2013. "Diszkriminatív áras és egyenáras aukciók [Discriminatory and uniform-price auctions]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(10), pages 1048-1074.
    10. Kashyap, Ravi, 2018. "Auction theory adaptations for real life applications," Research in Economics, Elsevier, vol. 72(4), pages 452-481.
    11. Atakelty Hailu & Sophie Thoyer, 2007. "Designing Multi‐unit Multiple Bid Auctions: An Agent‐based Computational Model of Uniform, Discriminatory and Generalised Vickrey Auctions," The Economic Record, The Economic Society of Australia, vol. 83(s1), pages 57-72, September.
    12. Ahmed Anwar, 2006. "Single or Multiple Pricing in Electricity Pools?," Edinburgh School of Economics Discussion Paper Series 143, Edinburgh School of Economics, University of Edinburgh.
    13. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    14. Toshihiro Tsuchihashi, 2021. "A buyout option alleviates implicit collusion in uniform‐price auctions," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(5), pages 1146-1155, July.
    15. 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.
    16. 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.
    17. Ewerhart, Christian & Cassola, Nuno & Valla, Natacha, 2010. "Declining valuations and equilibrium bidding in central bank refinancing operations," International Journal of Industrial Organization, Elsevier, vol. 28(1), pages 30-43, January.
    18. Burkett, Justin & Woodward, Kyle, 2020. "Uniform price auctions with a last accepted bid pricing rule," Journal of Economic Theory, Elsevier, vol. 185(C).
    19. 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.
    20. Ravi Kashyap, 2018. "Auction Theory Adaptations for Real Life Applications," Papers 1810.01736, arXiv.org, revised May 2019.

    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.