IDEAS home Printed from https://ideas.repec.org/b/spr/mathfi/v18y2024i4d10.1007_s11579-024-00364-0.html
   My bibliography  Save this book

Is Kyle’s equilibrium model stable?

Author

Listed:
  • Umut Çetin

    (London School of Economics and Political Science)

  • Kasper Larsen

    (Rutgers University)

Abstract

In the dynamic discrete-time trading setting of Kyle (Econometrica 53:1315–1336, 1985), we prove that Kyle’s equilibrium model is stable when there are one or two trading times. For three or more trading times, we prove that Kyle’s equilibrium is not stable. These theoretical results are proven to hold irrespectively of all Kyle’s input parameters.

Suggested Citation

  • Umut Çetin & Kasper Larsen, 2024. "Is Kyle’s equilibrium model stable?," Mathematics and Financial Economics, Springer, volume 18, number 3, December.
    • Handle: RePEc:spr:mathfi:v:18:y:2024:i:4:d:10.1007_s11579-024-00364-0
    DOI: 10.1007/s11579-024-00364-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11579-024-00364-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11579-024-00364-0?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. Biais, Bruno & Foucault, Thierry & Moinas, Sophie, 2015. "Equilibrium fast trading," Journal of Financial Economics, Elsevier, vol. 116(2), pages 292-313.
    2. Alex Boulatov & Dan Bernhardt, 2015. "Robustness of equilibrium in the Kyle model of informed speculation," Annals of Finance, Springer, vol. 11(3), pages 297-318, November.
    3. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    4. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    5. Peter M. DeMarzo & Ron Kaniel & Ilan Kremer, 2008. "Relative Wealth Concerns and Financial Bubbles," The Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 19-50, January.
    6. Back, Kerry E., 2017. "Asset Pricing and Portfolio Choice Theory," OUP Catalogue, Oxford University Press, number 9780190241148.
    7. Stauber, Ronald, 2011. "Knightian games and robustness to ambiguity," Journal of Economic Theory, Elsevier, vol. 146(1), pages 248-274, January.
    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. Umut Cetin & Kasper Larsen, 2023. "Is Kyle's equilibrium model stable?," Papers 2307.09392, arXiv.org, revised Jul 2023.
    2. Albert J. Menkveld & Marius A. Zoican, 2017. "Need for Speed? Exchange Latency and Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 30(4), pages 1188-1228.
    3. Zhou, Hao & Kalev, Petko S., 2019. "Algorithmic and high frequency trading in Asia-Pacific, now and the future," Pacific-Basin Finance Journal, Elsevier, vol. 53(C), pages 186-207.
    4. Daniel Fricke & Austin Gerig, 2018. "Too fast or too slow? Determining the optimal speed of financial markets," Quantitative Finance, Taylor & Francis Journals, vol. 18(4), pages 519-532, April.
    5. Gerig, Austin & Michayluk, David, 2017. "Automated liquidity provision," Pacific-Basin Finance Journal, Elsevier, vol. 45(C), pages 1-13.
    6. Adrian, Tobias & Capponi, Agostino & Fleming, Michael & Vogt, Erik & Zhang, Hongzhong, 2020. "Intraday market making with overnight inventory costs," Journal of Financial Markets, Elsevier, vol. 50(C).
    7. Marlene Haas & Marius Andrei Zoican, 2016. "Beyond the Frequency Wall: Speed and Liquidity on Batch Auction Markets," Post-Print hal-01484805, HAL.
    8. Breedon, Francis & Chen, Louisa & Ranaldo, Angelo & Vause, Nicholas, 2023. "Judgment day: Algorithmic trading around the Swiss franc cap removal," Journal of International Economics, Elsevier, vol. 140(C).
    9. Guillaume Rocheteau, 2009. "Information and liquidity: a discussion," Working Papers (Old Series) 0902, Federal Reserve Bank of Cleveland.
    10. Ben Ammar, Imen & Hellara, Slaheddine & Ghadhab, Imen, 2020. "High-frequency trading and stock liquidity: An intraday analysis," Research in International Business and Finance, Elsevier, vol. 53(C).
    11. Mailath, George J. & Nöldeke, Georg, 2006. "Extreme Adverse Selection, Competitive Pricing, and Market Breakdown," Working papers 2006/09, Faculty of Business and Economics - University of Basel.
    12. Glaeser, Edward L. & Kallal, Hedi D., 1997. "Thin Markets, Asymmetric Information, and Mortgage-Backed Securities," Journal of Financial Intermediation, Elsevier, vol. 6(1), pages 64-86, January.
    13. Mailath, George J. & Nöldeke, Georg, 2008. "Does competitive pricing cause market breakdown under extreme adverse selection?," Journal of Economic Theory, Elsevier, vol. 140(1), pages 97-125, May.
    14. Anderson, Lisa & Andrews, Emad & Devani, Baiju & Mueller, Michael & Walton, Adrian, 2022. "Speed segmentation on exchanges: Competition for slow flow," Journal of Financial Markets, Elsevier, vol. 58(C).
    15. Ryan Garvey & Yaohua Qin, 2022. "When does slower order execution occur? Evidence from U.S. equity investors," Journal of Asset Management, Palgrave Macmillan, vol. 23(2), pages 130-137, March.
    16. Sebastian Herrmann & Johannes Muhle-Karbe & Dapeng Shang & Chen Yang, 2018. "Inventory Management for High-Frequency Trading with Imperfect Competition," Papers 1808.05169, arXiv.org, revised Jun 2019.
    17. Degryse, Hans & Karagiannis, Nikolaos, 2019. "Priority Rules," CEPR Discussion Papers 14127, C.E.P.R. Discussion Papers.
    18. Charles-Albert Lehalle & Eyal Neuman & Segev Shlomov, 2021. "Phase Transitions in Kyle's Model with Market Maker Profit Incentives," Papers 2103.04481, arXiv.org.
    19. Lester, Benjamin & Shourideh, Ali & Venkateswaran, Venky & Zetlin-Jones, Ariel, 2023. "Market-making with search and information frictions," Journal of Economic Theory, Elsevier, vol. 212(C).
    20. Nicholas Hirschey, 2021. "Do High-Frequency Traders Anticipate Buying and Selling Pressure?," Management Science, INFORMS, vol. 67(6), pages 3321-3345, June.

    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:spr:mathfi:v:18:y:2024:i:4:d:10.1007_s11579-024-00364-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.