IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v157y2017icp62-66.html
   My bibliography  Save this article

Are rational explosive solutions learnable?

Author

Listed:
  • Kuang, Pei
  • Yao, Yao

Abstract

It is commonly believed that rational explosive solutions are unstable or fragile under adaptive learning. Contrary to this belief, the paper shows that under realistic parameterizations, rational explosive solutions are both E-stable and strongly E-stable in a class of models with lagged endogenous variables. It also establishes the convergence of least squares learning process to explosive solutions. Taking a simple Cagan model of inflation as an application, the paper shows that money supply feedback rule gives rise to a rational explosive solution for prices which is learnable in real time. This provides a new potential explanation for historical high inflation. Finally, E-stability results for non-MSV explosive solutions are provided.

Suggested Citation

  • Kuang, Pei & Yao, Yao, 2017. "Are rational explosive solutions learnable?," Economics Letters, Elsevier, vol. 157(C), pages 62-66.
    • Handle: RePEc:eee:ecolet:v:157:y:2017:i:c:p:62-66
    DOI: 10.1016/j.econlet.2017.05.038
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176517302240
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2017.05.038?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. Klaus Adam & Pei Kuang & Albert Marcet, 2012. "House Price Booms and the Current Account," NBER Macroeconomics Annual, University of Chicago Press, vol. 26(1), pages 77-122.
    2. Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March.
    3. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
    4. William A. Branch & George W. Evans, 2011. "Learning about Risk and Return: A Simple Model of Bubbles and Crashes," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 159-191, July.
    5. Kuang, Pei, 2014. "A model of housing and credit cycles with imperfect market knowledge," European Economic Review, Elsevier, vol. 70(C), pages 419-437.
    6. Kuang, Pei & Mitra, Kaushik, 2016. "Long-run growth uncertainty," Journal of Monetary Economics, Elsevier, vol. 79(C), pages 67-80.
    7. Evans, George W. & Honkapohja, Seppo, 1994. "Convergence of least squares learning to a non-stationary equilibrium," Economics Letters, Elsevier, vol. 46(2), pages 131-136, October.
    8. Evans, George W & Honkapohja, Seppo, 1992. "On the Robustness of Bubbles in Linear RE Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(1), pages 1-14, February.
    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. Ennis, Huberto M. & Keister, Todd, 2005. "Government policy and the probability of coordination failures," European Economic Review, Elsevier, vol. 49(4), pages 939-973, May.
    2. McCallum, Bennett T., 2003. "Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1153-1175, July.
    3. Bennett T. Mccallum, 2003. "Is The Fiscal Theory of the Price Level Learnable?," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(5), pages 634-649, November.
    4. Patrick Pintus & Jacek Suda, 2019. "Learning Financial Shocks and the Great Recession," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 31, pages 123-146, January.
    5. Heinemann, Maik, 1997. "Convergence of Adaptive Learning and the Concept of Expectational Stability in Linear Rational Expectations Models with Multiple Equilibria," Hannover Economic Papers (HEP) dp-207, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    6. Garratt, Anthony & Hall, Stephen G., 1997. "E-equilibria and adaptive expectations: Output and inflation in the LBS model," Journal of Economic Dynamics and Control, Elsevier, vol. 21(7), pages 1149-1171, June.
    7. Bennett T. McCallum, 2000. "Role of the Minimal State Variable Criterion," NBER Working Papers 7087, National Bureau of Economic Research, Inc.
    8. Petia Ivanova, 2007. "The Fiscal Theory for the Cost Level and Monetarism," Economic Thought journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 1, pages 60-79.
    9. Kuang, Pei, 2014. "A model of housing and credit cycles with imperfect market knowledge," European Economic Review, Elsevier, vol. 70(C), pages 419-437.
    10. Emilio Barucci & Leonardo Landi, 1995. "Learning non-rational expectations equilibria," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 18(1), pages 15-31, March.
    11. Chen, Heng & Li, Xu & Pei, Guangyu & Xin, Qian, 2024. "Heterogeneous overreaction in expectation formation: Evidence and theory," Journal of Economic Theory, Elsevier, vol. 218(C).
    12. Christopher Gibbs & Nigel McClung, 2023. "Does my model predict a forward guidance puzzle?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 393-423, December.
    13. Pedro Gete, 2015. "Housing demands, savings gluts and current account dynamics," Globalization Institute Working Papers 221, Federal Reserve Bank of Dallas.
    14. Nakov, Anton & Nuño, Galo, 2015. "Learning from experience in the stock market," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 224-239.
    15. Gauthier, Stephane, 2002. "Determinacy and Stability under Learning of Rational Expectations Equilibria," Journal of Economic Theory, Elsevier, vol. 102(2), pages 354-374, February.
    16. Evans, George W. & McGough, Bruce, 2005. "Stable sunspot solutions in models with predetermined variables," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 601-625, April.
    17. Lambertini, Luisa & Mendicino, Caterina & Punzi, Maria Teresa, 2017. "Expectations-driven cycles in the housing market," Economic Modelling, Elsevier, vol. 60(C), pages 297-312.
    18. Branch, William A. & Petrosky-Nadeau, Nicolas & Rocheteau, Guillaume, 2016. "Financial frictions, the housing market, and unemployment," Journal of Economic Theory, Elsevier, vol. 164(C), pages 101-135.
    19. Gáti, Laura, 2023. "Monetary policy & anchored expectations—An endogenous gain learning model," Journal of Monetary Economics, Elsevier, vol. 140(S), pages 37-47.
    20. Chryssi Giannitsarou, 2003. "Heterogeneous Learning," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 885-906, October.

    More about this item

    Keywords

    Money supply; Learnability; Inflation; E-stability;
    All these keywords.

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

    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:eee:ecolet:v:157:y:2017:i:c:p:62-66. 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/ecolet .

    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.