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Indeterminacy and the Stability Puzzle in Non-Convex Economies

Author

Listed:
  • George W. Evans

    (University of Oregon Economics Department)

  • Bruce McGough

    (Oregon State University Economics Department)

Abstract

We extend common factor analysis to a multi-dimensional setting by considering a bivariate reduced form consistent with many Real Business Cycle type models. We show how to obtain new representations of sunspots and find that there are parameter regions in which these sunspots are stable under learning. However, once the parameters are restricted to coincide with those generated by certain standard models of indeterminacy, we find, under one information assumption, that no stable sunspots exist, and under another information assumption, that they exist only for a very small part of the indeterminacy region. This leads to the following puzzle: why does indeterminacy almost always imply instability in RBC-type models?

Suggested Citation

  • George W. Evans & Bruce McGough, 2002. "Indeterminacy and the Stability Puzzle in Non-Convex Economies," University of Oregon Economics Department Working Papers 2002-14, University of Oregon Economics Department, revised 27 Aug 2005.
    • Handle: RePEc:ore:uoecwp:2002-14
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    Cited by:

    1. Evans, George W. & McGough, Bruce, 2005. "Monetary policy, indeterminacy and learning," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 1809-1840, November.
    2. Evans George W & Honkapohja Seppo M.S. & Marimon Ramon, 2007. "Stable Sunspot Equilibria in a Cash-in-Advance Economy," The B.E. Journal of Macroeconomics, De Gruyter, vol. 7(1), pages 1-38, January.
    3. Evans, George W & McGough, Bruce, 2018. "Equilibrium selection, observability and backward-stable solutions," Journal of Monetary Economics, Elsevier, vol. 98(C), pages 1-10.
    4. Chryssi Giannitsarou, 2007. "Balanced Budget Rules and Aggregate Instability: The Role of Consumption Taxes," Economic Journal, Royal Economic Society, vol. 117(523), pages 1423-1435, October.
    5. Xiao, Wei, 2008. "Increasing Returns And The Design Of Interest Rate Rules," Macroeconomic Dynamics, Cambridge University Press, vol. 12(1), pages 22-49, February.
    6. Evans, George W. & McGough, Bruce, 2020. "Stable near-rational sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 186(C).
    7. Evans, George W. & McGough, Bruce, 2005. "Monetary policy and stable indeterminacy with inertia," Economics Letters, Elsevier, vol. 87(1), pages 1-7, April.
    8. Duffy, John & Xiao, Wei, 2007. "Instability of sunspot equilibria in real business cycle models under adaptive learning," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 879-903, April.
    9. Shea, Paul, 2016. "Short-sighted managers and learnable sunspot equilibria," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 117-126.
    10. Weder, Mark, 2003. "On the plausibility of sunspot equilibria," Research in Economics, Elsevier, vol. 57(1), pages 65-81, March.
    11. McGough, Bruce & Meng, Qinglai & Xue, Jianpo, 2013. "Expectational stability of sunspot equilibria in non-convex economies," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1126-1141.
    12. Hirose, Yasuo, 2008. "Learnability and equilibrium selection under indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3459-3477, November.

    More about this item

    Keywords

    business cycles; sunspots; expectations; learning; stability;
    All these keywords.

    JEL classification:

    • 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

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