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Stable Sunspot Solutions in Models with Predetermined Variables


  • George W. Evans

    () (University of Oregon Economics Department)

  • Bruce McGough

    (Oregon State University)


We consider a linear stochastic univariate rational expectations model, with a predetermined variable, and provide alternative representations of SSEs (stationary sunspot equilibria). For a strict subset of the parameter space there exist SSEs that are locally stable under least squares learning provided agents use a common factor representation for their estimated law of motion. These results indicate that for some parameter regions SSEs are more likely to arise under private agent learning than previously recognized.

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  • George W. Evans & Bruce McGough, 2002. "Stable Sunspot Solutions in Models with Predetermined Variables," University of Oregon Economics Department Working Papers 2002-16, University of Oregon Economics Department, revised 29 May 2003.
  • Handle: RePEc:ore:uoecwp:2002-16

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    References listed on IDEAS

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    3. Evans, George W. & Honkapohja, Seppo, 2003. "Existence of adaptively stable sunspot equilibria near an indeterminate steady state," Journal of Economic Theory, Elsevier, vol. 111(1), pages 125-134, July.
    4. George Evans & Seppo Honkapohja, 1986. "A Complete Characterization of ARMA Solutions to Linear Rational Expectations Models," Review of Economic Studies, Oxford University Press, vol. 53(2), pages 227-239.
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    7. Evans, George W. & Honkapohja, Seppo & Honkapohja, Seppo, 1994. "Learning, convergence, and stability with multiple rational expectations equilibria," European Economic Review, Elsevier, vol. 38(5), pages 1071-1098, May.
    8. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
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    10. Farmer Roger E. A. & Guo Jang-Ting, 1994. "Real Business Cycles and the Animal Spirits Hypothesis," Journal of Economic Theory, Elsevier, vol. 63(1), pages 42-72, June.
    11. Evans, George W. & Honkapohja, Seppo, 2003. "Expectational stability of stationary sunspot equilibria in a forward-looking linear model," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 171-181, October.
    12. 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.
    13. Gourieroux, C & Laffont, J J & Monfort, Alain, 1982. "Rational Expectations in Dynamic Linear Models: Analysis of the Solutions," Econometrica, Econometric Society, vol. 50(2), pages 409-425, March.
    14. Duffy John, 1994. "On Learning and the Nonuniqueness of Equilibrium in an Overlapping Generations Model with Fiat Money," Journal of Economic Theory, Elsevier, vol. 64(2), pages 541-553, December.
    15. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    16. 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.
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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. Marco Airaudo & Salvatore Nisticò & Luis‐Felipe Zanna, 2015. "Learning, Monetary Policy, and Asset Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(7), pages 1273-1307, October.
    3. Michele Berardi, 2011. "Strategic interactions, incomplete information and learning," Centre for Growth and Business Cycle Research Discussion Paper Series 157, Economics, The Univeristy of Manchester.
    4. Berardi, Michele, 2007. "Heterogeneity and misspecifications in learning," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3203-3227, October.
    5. Cornaro, Alessandra & Agliari, Anna, 2011. "Global and local determinacy in a one-step forward looking New Keynesian model," Economic Modelling, Elsevier, vol. 28(3), pages 1354-1362, May.
    6. repec:spr:joecth:v:64:y:2017:i:1:d:10.1007_s00199-016-0980-5 is not listed on IDEAS
    7. George W. Evans & Seppo Honkapohja, 2009. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," Central Banking, Analysis, and Economic Policies Book Series,in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.), Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 2, pages 027-076 Central Bank of Chile.
    8. Nakagawa, Ryuichi, 2015. "Learnability of an equilibrium with private information," Journal of Economic Dynamics and Control, Elsevier, vol. 59(C), pages 58-74.
    9. Berardi, Michele, 2011. "Fundamentalists vs. chartists: Learning and predictor choice dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 776-792, May.
    10. 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.
    11. Shu-Heng Chen & Chung-Chih Liao & Pei-Jung Chou, 2008. "On the plausibility of sunspot equilibria," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 3(1), pages 25-41, June.
    12. William A. Branch & Troy A. Davig & Bruce McGough, 2007. "Expectational stability in regime-switching rational expectations models," Research Working Paper RWP 07-09, Federal Reserve Bank of Kansas City.
    13. Berardi, Michele, 2009. "Heterogeneous expectations, sunspot equilibria and their fragility," Economics Letters, Elsevier, vol. 105(3), pages 276-279, December.
    14. 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.
    15. 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.
    16. Shea, Paul, 2016. "Short-sighted managers and learnable sunspot equilibria," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 117-126.
    17. Best, Gabriela, 2015. "A New Keynesian model with staggered price and wage setting under learning," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 96-111.

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