IDEAS home Printed from https://ideas.repec.org/b/spr/mathfi/v18y2024i2d10.1007_s11579-024-00353-3.html
   My bibliography  Save this book

Optimal bubble riding with price-dependent entry: a mean field game of controls with common noise

Author

Listed:
  • Ludovic Tangpi

    (Princeton University)

  • Shichun Wang

    (Princeton University)

Abstract

In this paper we further extend the optimal bubble riding model proposed in Tangpi and Wang (Optimal bubble riding: a mean field game with varying entry times, 2022) by allowing for price-dependent entry times. Agents are characterized by their individual entry threshold that represents their belief in the strength of the bubble. Conversely, the growth dynamics of the bubble is fueled by the influx of players. Price-dependent entry naturally leads to a mean field game of controls with common noise and random entry time, for which we provide an existence result. The equilibrium is obtained by first solving discretized versions of the game in the weak formulation and then examining the measurability property in the limit. In this paper, the common noise comes from two sources: the price of the asset which all agents trade, and also the the exogenous bubble burst time, which we also discretize and incorporate into the model via progressive enlargement of filtration.

Suggested Citation

  • Ludovic Tangpi & Shichun Wang, 2024. "Optimal bubble riding with price-dependent entry: a mean field game of controls with common noise," Mathematics and Financial Economics, Springer, volume 18, number 5, December.
    • Handle: RePEc:spr:mathfi:v:18:y:2024:i:2:d:10.1007_s11579-024-00353-3
    DOI: 10.1007/s11579-024-00353-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11579-024-00353-3
    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/s11579-024-00353-3?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. D. Sornette, 2003. "Critical Market Crashes," Papers cond-mat/0301543, arXiv.org.
    2. Doblas-Madrid, Antonio, 2016. "A finite model of riding bubbles," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 154-162.
    3. Akyildirim, Erdinç & Corbet, Shaen & Cumming, Douglas & Lucey, Brian & Sensoy, Ahmet, 2020. "Riding the Wave of Crypto-Exuberance: The Potential Misusage of Corporate Blockchain Announcements," Technological Forecasting and Social Change, Elsevier, vol. 159(C).
    4. Antonio Doblas‐Madrid, 2012. "A Robust Model of Bubbles With Multidimensional Uncertainty," Econometrica, Econometric Society, vol. 80(5), pages 1845-1893, September.
    5. Liu, Feng & Conlon, John R., 2018. "The simplest rational greater-fool bubble model," Journal of Economic Theory, Elsevier, vol. 175(C), pages 38-57.
    6. Christophette Blanchet-Scalliet & Monique Jeanblanc, 2004. "Hazard rate for credit risk and hedging defaultable contingent claims," Finance and Stochastics, Springer, vol. 8(1), pages 145-159, January.
    7. Beaver, Wh, 1968. "Information Content Of Annual Earnings Announcements," Journal of Accounting Research, Wiley Blackwell, vol. 6, pages 67-92.
    8. repec:bla:jfinan:v:59:y:2004:i:5:p:2013-2040 is not listed on IDEAS
    9. John M. Griffin & Jeffrey H. Harris & Tao Shu & Selim Topaloglu, 2011. "Who Drove and Burst the Tech Bubble?," Journal of Finance, American Finance Association, vol. 66(4), pages 1251-1290, August.
    10. Burzoni, Matteo & Campi, Luciano, 2023. "Mean field games with absorption and common noise with a model of bank run," Stochastic Processes and their Applications, Elsevier, vol. 164(C), pages 206-241.
    11. Awaya, Yu & Iwasaki, Kohei & Watanabe, Makoto, 2022. "Rational bubbles and middlemen," Theoretical Economics, Econometric Society, vol. 17(4), November.
    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. Ludovic Tangpi & Shichun Wang, 2023. "Optimal Bubble Riding with Price-dependent Entry: a Mean Field Game of Controls with Common Noise," Papers 2307.11340, arXiv.org.
    2. Ludovic Tangpi & Shichun Wang, 2022. "Optimal Bubble Riding: A Mean Field Game with Varying Entry Times," Papers 2209.04001, arXiv.org, revised Jan 2024.
    3. Makoto WATANABE & Yu Awaya & kohei Iwasaki, 2024. "Money is the roof of asset bubbles," CIGS Working Paper Series 24-001E, The Canon Institute for Global Studies.
    4. Baumann, Michael Heinrich & Janischewski, Anja, 2025. "What are asset price bubbles? A survey on definitions of financial bubbles," MPRA Paper 123676, University Library of Munich, Germany.
    5. Awaya, Yu & Iwasaki, Kohei & Watanabe, Makoto, 2022. "Rational bubbles and middlemen," Theoretical Economics, Econometric Society, vol. 17(4), November.
    6. Asako, Yasushi & Funaki, Yukihiko & Ueda, Kozo & Uto, Nobuyuki, 2020. "(A)symmetric information bubbles: Experimental evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 110(C).
    7. Carlos J. Perez & Manuel Santos, 2017. "On the Dynamics of Speculation in a Model of Bubbles and Manias," Working Papers 2017-02, University of Miami, Department of Economics.
    8. Liu, Feng & Conlon, John R., 2018. "The simplest rational greater-fool bubble model," Journal of Economic Theory, Elsevier, vol. 175(C), pages 38-57.
    9. Monica Martinez-Blasco & Vanessa Serrano & Francesc Prior & Jordi Cuadros, 2023. "Analysis of an event study using the Fama–French five-factor model: teaching approaches including spreadsheets and the R programming language," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-34, December.
    10. White, Reilly & Marinakis, Yorgos & Islam, Nazrul & Walsh, Steven, 2020. "Is Bitcoin a currency, a technology-based product, or something else?," Technological Forecasting and Social Change, Elsevier, vol. 151(C).
    11. J. David Cummins & Christopher M. Lewis, 2002. "Catastrophic Events, Parameter Uncertainty and the Breakdown of Implicit Long-term Contracting in the Insurance Market: The Case of Terrorism Insurance," Center for Financial Institutions Working Papers 02-40, Wharton School Center for Financial Institutions, University of Pennsylvania.
    12. DuCharme, Larry L. & Malatesta, Paul H. & Sefcik, Stephan E., 2004. "Earnings management, stock issues, and shareholder lawsuits," Journal of Financial Economics, Elsevier, vol. 71(1), pages 27-49, January.
    13. Zheng, Yao & Osmer, Eric & Zhang, Ruiyi, 2018. "Sentiment hedging: How hedge funds adjust their exposure to market sentiment," Journal of Banking & Finance, Elsevier, vol. 88(C), pages 147-160.
    14. Rolf Uwe Fülbier & Thorsten Sellhorn, 2023. "Understanding and improving the language of business: How accounting and corporate reporting research can better serve business and society," Journal of Business Economics, Springer, vol. 93(6), pages 1089-1124, August.
    15. Bartholdy, Jan & Feng, Tiyi, 2013. "The quality of securities firms' earnings forecasts and stock recommendations: Do informational advantages, reputation and experience matter in China?," Pacific-Basin Finance Journal, Elsevier, vol. 24(C), pages 66-88.
    16. Chen, Yong & Kelly, Bryan & Wu, Wei, 2020. "Sophisticated investors and market efficiency: Evidence from a natural experiment," Journal of Financial Economics, Elsevier, vol. 138(2), pages 316-341.
    17. Alex Dontoh & Gordon Richardson, 1988. "On interim information and the information content of firm earnings: A state variable approach," Contemporary Accounting Research, John Wiley & Sons, vol. 4(2), pages 450-469, March.
    18. Lof, Matthijs & van Bommel, Jos, 2023. "Asymmetric information and the distribution of trading volume," Journal of Corporate Finance, Elsevier, vol. 82(C).
    19. Choi, Jong-Seo & Choe, Chongwoo, 1998. "Explanatory factors for trading volume responses to annual earnings announcements: Evidence from the Korean stock market," Pacific-Basin Finance Journal, Elsevier, vol. 6(1-2), pages 193-212, May.
    20. An, Li & Lou, Dong & Shi, Donghui, 2022. "Wealth redistribution in bubbles and crashes," Journal of Monetary Economics, Elsevier, vol. 126(C), pages 134-153.

    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:2:d:10.1007_s11579-024-00353-3. 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.