IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v65y2016icp154-162.html

Some searches may not work properly. We apologize for the inconvenience.

   My bibliography  Save this article

A finite model of riding bubbles

Author

Listed:
  • Doblas-Madrid, Antonio

Abstract

When asset prices boom over extended periods of time, many investors begin to worry about bubbles. However, even those who believe that assets are overpriced may stay in the market believing that they can rise even further before correcting. Abreu and Brunnermeier (2003, AB) model this idea in an environment with rational and behavioral agents, and more recently, Doblas-Madrid (2012, DM) constructs a fully rational version of the AB model. These models conceptualize a bubble as a boom that is at first justified by fundamentals, but overshoots as asymmetrically informed agents ride the bubble hoping to sell to a greater fool. A critique of these papers is that, although bubbles are finite, they can only arise in equilibrium if prices can grow at extraordinary rates indefinitely. In this paper, I articulate this critique in a simplified DM environment and show how it can be overturned by modifying investors’ strategies. If the number of periods an investor plans to ride the bubble is conditional on her signal of fundamental value, one can sustain speculative bubbles in a finite model, where by construction it is impossible for prices to boom indefinitely.

Suggested Citation

  • Doblas-Madrid, Antonio, 2016. "A finite model of riding bubbles," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 154-162.
    • Handle: RePEc:eee:mateco:v:65:y:2016:i:c:p:154-162
    DOI: 10.1016/j.jmateco.2015.06.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406815000646
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2015.06.009?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. Gara Minguez-Afonso, 2007. "Imperfect Common Knowledge in First-Generation Models of Currency Crises," International Journal of Central Banking, International Journal of Central Banking, vol. 3(1), pages 81-112, March.
    2. Barlevy, Gadi, 2014. "A leverage-based model of speculative bubbles," Journal of Economic Theory, Elsevier, vol. 153(C), pages 459-505.
    3. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    4. John Moore & Nobuhiro Kiyotaki, 2008. "Liquidity, Business Cycles, and Monetary Policy," 2008 Meeting Papers 35, Society for Economic Dynamics.
    5. Yasushi Asako & Kozo Ueda, 2014. "The Boy Who Cried Bubble: Public Warnings Against Riding Bubbles," Economic Inquiry, Western Economic Association International, vol. 52(3), pages 1137-1152, July.
    6. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    7. Miao, Jianjun & Wang, Pengfei, 2014. "Sectoral bubbles, misallocation, and endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 153-163.
    8. John R. Conlon, 2004. "Simple Finite Horizon Bubbles Robust to Higher Order Knowledge," Econometrica, Econometric Society, vol. 72(3), pages 927-936, May.
    9. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    10. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    11. Allen F. & Morris S. & Postlewaite A., 1993. "Finite Bubbles with Short Sale Constraints and Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 61(2), pages 206-229, December.
    12. repec:oup:restud:v:84:y::i:1:p:406-443. is not listed on IDEAS
    13. Miao, Jianjun & Wang, Pengfei, 2015. "Banking bubbles and financial crises," Journal of Economic Theory, Elsevier, vol. 157(C), pages 763-792.
    14. Gadi Barlevy, 2015. "Bubbles and Fools," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q II.
    15. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    16. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    17. Antonio Doblas‐Madrid, 2012. "A Robust Model of Bubbles With Multidimensional Uncertainty," Econometrica, Econometric Society, vol. 80(5), pages 1845-1893, September.
    18. Jianjun Miao & Pengfei Wang, 2012. "Bubbles and Total Factor Productivity," American Economic Review, American Economic Association, vol. 102(3), pages 82-87, May.
    19. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    20. Allen, Franklin & Gale, Douglas, 2000. "Bubbles and Crises," Economic Journal, Royal Economic Society, vol. 110(460), pages 236-255, January.
    21. Antonio Doblas-Madrid & Kevin J. Lansing, 2016. "Credit-fuelled bubbles," Working Paper Series 2016-2, Federal Reserve Bank of San Francisco.
    22. Franklin Allen & Gary Gorton, 1993. "Churning Bubbles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 813-836.
    23. J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(2), pages 323-336.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).
    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. Chen, Guojin & Chen, Lingling & Liu, Yanzhen & Qu, Yuxuan, 2021. "Stock price bubbles, leverage and systemic risk," International Review of Economics & Finance, Elsevier, vol. 74(C), pages 405-417.
    4. Zeno Enders & Hendrik Hakenes, 2021. "Market Depth, Leverage, and Speculative Bubbles," Journal of the European Economic Association, European Economic Association, vol. 19(5), pages 2577-2621.
    5. 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.
    6. Liu, Feng & Conlon, John R., 2018. "The simplest rational greater-fool bubble model," Journal of Economic Theory, Elsevier, vol. 175(C), pages 38-57.
    7. Ripamonti, Alexandre & Silva, Diego & Moreira Neto, Eurico, 2018. "Asset Pricing and Asymmetric Information," MPRA Paper 87403, University Library of Munich, Germany.

    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. Brunnermeier, Markus K. & Oehmke, Martin, 2013. "Bubbles, Financial Crises, and Systemic Risk," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1221-1288, Elsevier.
    2. John R. Conlon, 2015. "Should Central Banks Burst Bubbles? Some Microeconomic Issues," Economic Journal, Royal Economic Society, vol. 125(582), pages 141-161, February.
    3. Barlevy, Gadi, 2014. "A leverage-based model of speculative bubbles," Journal of Economic Theory, Elsevier, vol. 153(C), pages 459-505.
    4. John Conlon, 2005. "Should Central Banks Burst Bubbles?," Game Theory and Information 0508007, University Library of Munich, Germany.
    5. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    6. Liu, Feng & Conlon, John R., 2018. "The simplest rational greater-fool bubble model," Journal of Economic Theory, Elsevier, vol. 175(C), pages 38-57.
    7. Mathieu Boullot, 2017. "Secular Stagnation, Liquidity Trap and Rational Asset Price Bubbles," Working Papers halshs-01295012, HAL.
    8. 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).
    9. Allen, Franklin & Carletti, Elena, 2013. "New theories to underpin financial reform," Journal of Financial Stability, Elsevier, vol. 9(2), pages 242-249.
    10. Zhang, Mu & Zheng, Jie, 2017. "A robust reference-dependent model for speculative bubbles," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 232-258.
    11. Franklin Allen & Elena Carletti, 2013. "Systemic risk from real estate and macro-prudential regulation," International Journal of Banking, Accounting and Finance, Inderscience Enterprises Ltd, vol. 5(1/2), pages 28-48.
    12. Giglio, Stefano & Severo, Tiago, 2012. "Intangible capital, relative asset shortages and bubbles," Journal of Monetary Economics, Elsevier, vol. 59(3), pages 303-317.
    13. Feng Liu & Joseph S. White & John R. Conlon, 2023. "A Three‐State Rational Greater‐Fool Bubble Model With Intertemporal Consumption Smoothing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(4), pages 1565-1594, November.
    14. Gadi Barlevy, 2015. "Bubbles and Fools," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q II.
    15. Dow, James & Han, Jungsuk, 2015. "Contractual incompleteness, limited liability and asset price bubbles," Journal of Financial Economics, Elsevier, vol. 116(2), pages 383-409.
    16. Daisuke Ikeda & Toan Phan, 2016. "Toxic asset bubbles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(2), pages 241-271, February.
      • Daisuke Ikeda & Toan Phan, 2016. "Toxic asset bubbles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(2), pages 241-271, February.
    17. 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.
    18. Bengui, Julien & Phan, Toan, 2018. "Asset pledgeability and endogenously leveraged bubbles," Journal of Economic Theory, Elsevier, vol. 177(C), pages 280-314.
    19. Allen, Franklin & Rogoff, Kenneth, 2011. "Asset Prices, Financial Stability and Monetary Policy," Working Papers 11-39, University of Pennsylvania, Wharton School, Weiss Center.
    20. Tolhurst, Tor N., 2018. "A Model-Free Bubble Detection Method: Application to the World Market for Superstar Wines," 2018 Annual Meeting, August 5-7, Washington, D.C. 274387, Agricultural and Applied Economics Association.

    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:mateco:v:65:y:2016:i:c:p:154-162. 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/jmateco .

    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.