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Bubbles and cycles in the Solow–Swan model

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  • 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
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    References listed on IDEAS

    as
    1. Alberto Martin & Jaume Ventura, 2016. "Managing Credit Bubbles," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 753-789.
    2. Robert Z. Aliber & Charles P. Kindleberger, 2015. "Manias, Panics, and Crashes," Palgrave Macmillan Books, Palgrave Macmillan, edition 0, number 978-1-137-52574-1, October.
    3. 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.
    4. Anna Scherbina & Bernd Schlusche, 2014. "Asset price bubbles: a survey," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 589-604, April.
    5. Alberto Martin & Jaume Ventura, 2012. "Economic Growth with Bubbles," American Economic Review, American Economic Association, vol. 102(6), pages 3033-3058, October.
    6. 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.
    7. Kocherlakota, Narayana R., 1992. "Bubbles and constraints on debt accumulation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 245-256.
    8. 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.
    9. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    10. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    11. 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.
    12. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    13. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    14. 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.
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    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

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