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Existence of Adaptively Stable Sunspot Equilibria Near an Indeterminate Steady State

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Author Info
George W. Evans ()
Seppo Honkapohja ()

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Abstract

We examine the nonlinear model Xt = Et F(xt+1) . Markov SSEs exist near an indeterminate steady state, X = F(X), provided F'(X)> 1. We show that there exist Markov SSEs that are E-stable, and therefore locally stable under adaptive learning, if F'(X)< -1.

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Publisher Info
Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number CESifo Working Paper No. 478.

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Date of creation: 2001
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Handle: RePEc:ces:ceswps:_478

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Related research
Keywords: Indeterminacy; learnability; expectational stability; endogenous fluctuations;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
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

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Honkapohja, Seppo & Mitra, Kaushik, 2001. "Are Non-Fundamental Equilibria Learnable in Models of Monetary Policy?," CEPR Discussion Papers 2846, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  2. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March. [Downloadable!] (restricted)
    Other versions:
  3. Chiappori, Pierre-Andre & Geoffard, Pierre-Yves & Guesnerie, Roger, 1992. "Sunspot Fluctuations around a Steady State: The Case of Multidimensional, One-Step Forward Looking Economic Models," Econometrica, Econometric Society, vol. 60(5), pages 1097-126, September. [Downloadable!] (restricted)
    Other versions:
  4. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448 Elsevier. [Downloadable!] (restricted)
  5. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April. [Downloadable!] (restricted)
  6. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December. [Downloadable!] (restricted)
  7. Howitt, Peter & McAfee, R Preston, 1992. "Animal Spirits," American Economic Review, American Economic Association, vol. 82(3), pages 493-507, June. [Downloadable!] (restricted)
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  8. G. Desgranges & G. Negroni, 2001. "Expectations Coordination on a Sunspot Equilibrium: an Eductive Approach," THEMA Working Papers 2001-13, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
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  9. Evans, Geroge W & Honkapohja, Seppo & Romer, Paul, 1998. "Growth Cycles," American Economic Review, American Economic Association, vol. 88(3), pages 495-515, June. [Downloadable!] (restricted)
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    • Paul Romer & George Evans & Seppo Hokapohja, . "Growth Cycles," Home Pages _001, Stanford University. [Downloadable!]
    • George Evans & Seppo Honkapohja & Paul Romer, 1996. "Growth Cycles," NBER Working Papers 5659, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Guesnerie, R. & Woodford, M., 1991. "Endogenous Fluctuations," DELTA Working Papers 91-10, DELTA (Ecole normale supérieure).
  11. Evans, George W. & Honkapohja, Seppo & Marimon, Ramon, 2001. "Stable Sunspot Equilibria in a Cash-in-Advance Economy," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  12. Evans George W. & Honkapohja Seppo, 1994. "On the Local Stability of Sunspot Equilibria under Adaptive Learning Rules," Journal of Economic Theory, Elsevier, vol. 64(1), pages 142-161, October. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Orlando Gomes, . "Volatility, Heterogeneous Agents and Chaos," The Electronic Journal of Evolutionary Modeling and Economic Dynamics, IFReDE - Université Montesquieu Bordeaux IV. [Downloadable!]
    Other versions:
  2. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York. [Downloadable!]
  3. George W. Evans & Bruce McGough, 2004. "Monetary Policy and Stable Indeterminacy with Inertia," University of Oregon Economics Department Working Papers 2004-4, University of Oregon Economics Department, revised 29 Mar 2004. [Downloadable!]
    Other versions:
  4. George W. Evans & Bruce McGough, 2005. "Optimal Constrained Interest-rate Rules," University of Oregon Economics Department Working Papers 2005-9, University of Oregon Economics Department, revised 31 May 2006. [Downloadable!]
    Other versions:
  5. George Evans & Seppo Honkapohja & Ramon Marimon, 2007. "Stable Sunspot Equilibria in a Cash-in-Advance Economy," Advances in Macroeconomics, Berkeley Electronic Press, vol. 7(1), pages 1165-1165. [Downloadable!] (restricted)
    Other versions:
  6. George Evans & Bruce McGough, 2005. "Indeterminacy and the Stability Puzzle in Non-Convex Economies," Contributions to Macroeconomics, Berkeley Electronic Press, vol. 5(1), pages 1264-1264. [Downloadable!] (restricted)
    Other versions:
  7. George W. Evans & Bruce McGough, 2003. "Monetary Policy, Indeterminacy and Learning," University of Oregon Economics Department Working Papers 2003-34, University of Oregon Economics Department, revised 01 Apr 2004. [Downloadable!]
    Other versions:
  8. Evans, George W. & Honkapohja, Seppo, 2004. "The E-Correspondence Principle," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  9. Seppo Honkapohja & Kaushik Mitra, . "Are Non-Fundamental Equilibria Learnable in Models of Monetary Policy?," Discussion Papers 01/05, Department of Economics, University of York. [Downloadable!]
    Other versions:
  10. George W. Evans & Seppo Honkapohja, 2008. "Learning and Macroeconomics," University of Oregon Economics Department Working Papers 2008-3, University of Oregon Economics Department. [Downloadable!]
  11. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2001. "Chaotic Interest Rate Rules," Departmental Working Papers 200109, Rutgers University, Department of Economics. [Downloadable!]
    Other versions:
  12. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2004. "Chaotic Interest Rate Rules: Expanded Version," NBER Working Papers 10272, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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