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Existence of Adaptively Stable Sunspot Equilibria near an Indeterminate Steady State

Author

Listed:
  • George W. Evans

    (University of Oregon Economics Department)

  • Seppo Honkapohja

    (University of Helsinki)

Abstract

We examine the nonlinear model x_t = E_t F(x_(t+1)). Markov SSEs exist near an indeterminate steady state, hat(x)=F(hat(x)), provided |F'(hat(x)| > 1. Despite the importance of indeterminancy in macroeconomics, earlier results have not provided conditions for the existance of adaptively stable SSEs near an indeterminate steady state. We show that there exists Markov SSEs near hat(x) that are E-stable, and therefore locally stable under adaptive learning, if F'(hat(x))

Suggested Citation

  • George W. Evans & Seppo Honkapohja, 2002. "Existence of Adaptively Stable Sunspot Equilibria near an Indeterminate Steady State," University of Oregon Economics Department Working Papers 2002-9, University of Oregon Economics Department, revised 06 Apr 2002.
    • Handle: RePEc:ore:uoecwp:2002-9
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    1. is not listed on IDEAS
    2. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York.
    3. Eusepi, Stefano, 2007. "Learnability and monetary policy: A global perspective," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1115-1131, May.
    4. George W. Evans & Seppo Honkapohja, 2007. "The E‐Correspondence Principle," Economica, London School of Economics and Political Science, vol. 74(293), pages 33-50, February.
    5. 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.
    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. Honkapohja, Seppo & Mitra, Kaushik, 2004. "Are non-fundamental equilibria learnable in models of monetary policy?," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1743-1770, November.
    9. McClung, Nigel, 2020. "E-stability vis-à-vis determinacy in regime-switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    10. GEORGE W. EVANS & BRUCE McGOUGH, 2007. "Optimal Constrained Interest-Rate Rules," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(6), pages 1335-1356, September.
    11. 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.
    12. 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.
    13. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2004. "Chaotic Interest Rate Rules: Expanded Version," NBER Working Papers 10272, National Bureau of Economic Research, Inc.
    14. Michele Berardi, 2011. "Heterogeneous sunspots solutions under learning and replicator dynamics," Centre for Growth and Business Cycle Research Discussion Paper Series 160, Economics, The University of Manchester.
    15. Berardi, Michele, 2015. "On the fragility of sunspot equilibria under learning and evolutionary dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 112(C), pages 251-265.
    16. Jess Benhabib & Stephanie Schmitt-Grohé & Martín Uribe, 2002. "Chaotic Interest-Rate Rules," American Economic Review, American Economic Association, vol. 92(2), pages 72-78, May.

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    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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