IDEAS home Printed from https://ideas.repec.org/a/kap/jeczfn/v127y2019i3d10.1007_s00712-018-0638-9.html
   My bibliography  Save this article

Bubbles and cycles in the Solow–Swan model

Author

Listed:
  • Gerhard Sorger

    (University of Vienna)

Abstract

We consider a neoclassical one-sector economy in which—in addition to physical capital—there exists a second asset. This asset is unproductive, cannot be consumed, and does not pay dividends. A no-arbitrage condition is imposed so that the two assets are equivalent stores of value. Finally, we assume that consumption (respectively, investment) is a fixed fraction of the sum of aggregate factor income (GDP) and capital gains. In this modified Solow–Swan model, we characterize the conditions under which bubbles can exist, i.e., under which the useless asset can have a positive price. We find that these conditions do not imply that the original Solow–Swan equilibrium is dynamically inefficient, and we demonstrate that asset price bubbles can lead to non-monotonic and even periodic capital accumulation paths.

Suggested Citation

  • Gerhard Sorger, 2019. "Bubbles and cycles in the Solow–Swan model," Journal of Economics, Springer, vol. 127(3), pages 193-221, August.
  • Handle: RePEc:kap:jeczfn:v:127:y:2019:i:3:d:10.1007_s00712-018-0638-9
    DOI: 10.1007/s00712-018-0638-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00712-018-0638-9
    File Function: Abstract
    Download Restriction: no

    File URL: https://libkey.io/10.1007/s00712-018-0638-9?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
    ---><---

    References listed on IDEAS

    as
    1. Robert Z. Aliber & Charles P. Kindleberger, 2015. "Manias, Panics, and Crashes," Palgrave Macmillan Books, Palgrave Macmillan, edition 0, number 978-1-137-52574-1, December.
    2. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
    3. Alberto Martin & Jaume Ventura, 2012. "Economic Growth with Bubbles," American Economic Review, American Economic Association, vol. 102(6), pages 3033-3058, October.
    4. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    5. Kocherlakota, Narayana R., 1992. "Bubbles and constraints on debt accumulation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 245-256.
    6. Alberto Martin & Jaume Ventura, 2016. "Managing Credit Bubbles," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 753-789, June.
    7. 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, pages 467-467.
    8. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    9. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    10. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    11. Anna Scherbina & Bernd Schlusche, 2014. "Asset price bubbles: a survey," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 589-604, April.
    12. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    13. Philippe Weil, 1987. "Confidence and the Real Value of Money in an Overlapping Generations Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 1-22.
    14. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, 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. Alberto Martin & Jaume Ventura, 2018. "The Macroeconomics of Rational Bubbles: A User's Guide," Annual Review of Economics, Annual Reviews, vol. 10(1), pages 505-539, August.
    2. Raurich, Xavier & Seegmuller, Thomas, 2019. "On the interplay between speculative bubbles and productive investment," European Economic Review, Elsevier, vol. 111(C), pages 400-420.
    3. Lise Clain‐Chamosset‐Yvrard & Xavier Raurich & Thomas Seegmuller, 2023. "Are the Liquidity and Collateral Roles of Asset Bubbles Different?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 55(6), pages 1443-1473, September.
    4. Jia Pengfei & Lim King Yoong, 2021. "Tax Policy and Toxic Housing Bubbles in China," The B.E. Journal of Macroeconomics, De Gruyter, vol. 21(1), pages 151-183, January.
    5. Bengui, Julien & Phan, Toan, 2018. "Asset pledgeability and endogenously leveraged bubbles," Journal of Economic Theory, Elsevier, vol. 177(C), pages 280-314.
    6. Dong, Feng & Xu, Zhiwei, 2022. "Bubbly bailout," Journal of Economic Theory, Elsevier, vol. 202(C).
    7. Michau, Jean-Baptiste & Ono, Yoshiyasu & Schlegl, Matthias, 2023. "Wealth preference and rational bubbles," European Economic Review, Elsevier, vol. 156(C).
    8. Takuma Kunieda & Tarishi Matsuoka & Akihisa Shibata, 2017. "Asset Bubbles, Technology Choice, and Financial Crises," Discussion Paper Series 157, School of Economics, Kwansei Gakuin University, revised Feb 2017.
    9. Daisuke Ikeda & Toan Phan & Timothy Sablik, 2020. "Asset Bubbles and Global Imbalances," Richmond Fed Economic Brief, Federal Reserve Bank of Richmond, vol. 20, pages 1-4, January.
    10. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    11. 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.
    12. Tomohiro Hirano & Ryo Jinnai & Alexis Akira Toda, 2022. "Leverage, Endogenous Unbalanced Growth, and Asset Price Bubbles," Papers 2211.13100, arXiv.org, revised Feb 2024.
    13. repec:ipg:wpaper:4 is not listed on IDEAS
    14. Wigniolle, B., 2014. "Optimism, pessimism and financial bubbles," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 188-208.
    15. Guerrieri, V. & Uhlig, H., 2016. "Housing and Credit Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1427-1496, Elsevier.
    16. Jianjun Miao & Pengfei Wang & Lifang Xu, 2016. "Stock market bubbles and unemployment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(2), pages 273-307, February.
    17. Jordi Galí, 2016. "Monetary policy and bubbles in a new Keynesian model with overlapping generations," Economics Working Papers 1561, Department of Economics and Business, Universitat Pompeu Fabra, revised Jan 2020.
    18. Philippe Weil, 2008. "Overlapping Generations: The First Jubilee," Journal of Economic Perspectives, American Economic Association, vol. 22(4), pages 115-134, Fall.
    19. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    20. Martin Barbie & Marten Hillebrand, 2018. "Bubbly Markov equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 627-679, October.
    21. Clain-Chamosset-Yvrard, Lise & Seegmuller, Thomas, 2015. "Rational bubbles and macroeconomic fluctuations: The (de-)stabilizing role of monetary policy," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 1-15.

    More about this item

    Keywords

    Solow–Swan model; Asset price bubbles; Dynamic inefficiency; Non-monotonic dynamics;
    All these keywords.

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    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:kap:jeczfn:v:127:y:2019:i:3:d:10.1007_s00712-018-0638-9. 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.