IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v53y2014icp137-144.html
   My bibliography  Save this article

Bubbles and trading in incomplete markets

Author

Listed:
  • Bejan, Camelia
  • Bidian, Florin

Abstract

We show that an intrinsic property of a large class of rational bubbles is their capacity to relax the agents’ debt limits. Any bubble that preserves the set of pricing kernels, or equivalently, the asset span, has effectively an identical effect on consumption and real interest rates as an appropriate relaxation of debt limits, proportional to the size of the bubble. Thus the collapse of a bubble amounts to a contraction of agents’ debt limits, and conversely, a bubble can arise to supplement the credit available in the economy.

Suggested Citation

  • Bejan, Camelia & Bidian, Florin, 2014. "Bubbles and trading in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 137-144.
    • Handle: RePEc:eee:mateco:v:53:y:2014:i:c:p:137-144
    DOI: 10.1016/j.jmateco.2014.05.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406814000688
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2014.05.004?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. Veronica Guerrieri & Guido Lorenzoni, 2017. "Credit Crises, Precautionary Savings, and the Liquidity Trap," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(3), pages 1427-1467.
    2. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    3. Alberto Martin & Jaume Ventura, 2012. "Economic Growth with Bubbles," American Economic Review, American Economic Association, vol. 102(6), pages 3033-3058, October.
    4. Kocherlakota, Narayana R., 1992. "Bubbles and constraints on debt accumulation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 245-256.
    5. Bulow, Jeremy & Rogoff, Kenneth, 1989. "Sovereign Debt: Is to Forgive to Forget?," American Economic Review, American Economic Association, vol. 79(1), pages 43-50, March.
    6. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 865-888.
    7. Emmanuel Farhi & Jean Tirole, 2012. "Bubbly Liquidity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 678-706.
    8. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    9. Bidian, Florin & Bejan, Camelia, 2011. "Supplement to ``Martingale properties of self-enforcing debt''," MPRA Paper 36610, University Library of Munich, Germany, revised 12 Feb 2012.
    10. Christian Hellwig & Guido Lorenzoni, 2009. "Bubbles and Self-Enforcing Debt," Econometrica, Econometric Society, vol. 77(4), pages 1137-1164, July.
    11. Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    12. Pengfei Wang & Jianjun Miao, 2011. "Bubbles and Credit Constraints," 2011 Meeting Papers 94, Society for Economic Dynamics.
    13. John H. Cochrane, 2002. "Stocks as Money: Convenience Yield and the Tech-Stock Bubble," NBER Working Papers 8987, National Bureau of Economic Research, Inc.
    14. Giglio, Stefano & Severo, Tiago, 2012. "Intangible capital, relative asset shortages and bubbles," Journal of Monetary Economics, Elsevier, vol. 59(3), pages 303-317.
    15. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
    16. Kevin X.D. Huang & Jan Werner, 2000. "Asset price bubbles in Arrow-Debreu and sequential equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 253-278.
    17. Bejan, Camelia & Bidian, Florin, 2010. "Limited enforcement, bubbles and trading in incomplete markets," MPRA Paper 36819, University Library of Munich, Germany, revised 20 Feb 2012.
    18. Werner, Jan, 2014. "Rational asset pricing bubbles and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 145-152.
    19. Hernandez D., Alejandro & Santos, Manuel S., 1996. "Competitive Equilibria for Infinite-Horizon Economies with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 102-130, October.
    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. Bidian, Florin, 2016. "Robust bubbles with mild penalties for default," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 141-153.
    2. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    3. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    4. Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    5. Werner, Jan, 2014. "Rational asset pricing bubbles and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 145-152.

    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. Bidian, Florin, 2016. "Robust bubbles with mild penalties for default," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 141-153.
    2. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    3. Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    4. Bejan, Camelia & Bidian, Florin, 2010. "Limited enforcement, bubbles and trading in incomplete markets," MPRA Paper 36819, University Library of Munich, Germany, revised 20 Feb 2012.
    5. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    6. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2017. "Asset bubbles and efficiency in a generalized two-sector model," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 37-48.
    7. Stefano Bosi & Cuong Le Van & Ngoc-Sang Pham, 2014. "Intertemporal equilibrium with production: bubbles and efficiency," Post-Print halshs-01020888, HAL.
    8. Victor Filipe Martins da Rocha & Toan Phan & Yiannis Vailakis, 2019. "Debt Limits and Credit Bubbles in General Equilibrium," Post-Print hal-02429759, HAL.
    9. Gaetano Bloise & Pietro Reichlin & Mario Tirelli, 2013. "Fragility of Competitive Equilibrium with Risk of Default," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(2), pages 271-295, April.
    10. Werner, Jan, 2014. "Rational asset pricing bubbles and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 145-152.
    11. Bosi, Stefano & Van, Cuong Le & Pham, Ngoc-Sang, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 1-20.
    12. Hirano, Tomohiro & Toda, Alexis Akira, 2024. "Bubble economics," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    13. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2022. "Real indeterminacy and dynamics of asset price bubbles in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    14. repec:hal:wpaper:halshs-02993656 is not listed on IDEAS
    15. Miao, Jianjun & Wang, Pengfei, 2014. "Sectoral bubbles, misallocation, and endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 153-163.
    16. Hirano, Tomohiro & Inaba, Masaru & Yanagawa, Noriyuki, 2015. "Asset bubbles and bailouts," Journal of Monetary Economics, Elsevier, vol. 76(S), pages 71-89.
    17. Miao, Jianjun & Zhang, Yuzhe, 2015. "A duality approach to continuous-time contracting problems with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 929-988.
    18. Bloise, Gaetano & Polemarchakis, Herakles & Vailakis, Yiannis, 2017. "Sovereign debt and incentives to default with uninsurable risks," Theoretical Economics, Econometric Society, vol. 12(3), September.
    19. Bloise, Gaetano & Polemarchakis, Herakles & Vailakis, Yiannis, 2018. "Sustainable Debt," CRETA Online Discussion Paper Series 45, Centre for Research in Economic Theory and its Applications CRETA.
    20. Bo Zhao, 2015. "Rational housing bubble," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 141-201, September.
    21. Filipe Martins da Rocha & Yiannis Vailakis, 2017. "Borrowing in Excess of Natural Ability to Repay," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 23, pages 42-59, January.

    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:53:y:2014:i:c:p:137-144. 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.