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Stable Sunspot Solutions in Models with Predetermined Variables

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  • George W. Evans

    ()
    (University of Oregon Economics Department)

  • Bruce McGough

    (Oregon State University)

Abstract

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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File URL: http://economics.uoregon.edu/papers/UO-2002-16_Evans_Stable_Sunspot.pdf
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Bibliographic Info

Paper provided by University of Oregon Economics Department in its series University of Oregon Economics Department Working Papers with number 2002-16.

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Length: 43
Date of creation: 17 Apr 2002
Date of revision: 29 May 2003
Handle: RePEc:ore:uoecwp:2002-16

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Postal: 1285 University of Oregon, 435 PLC, Eugene, OR 97403-1285
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Web page: http://economics.uoregon.edu/
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  1. 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.
  2. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  3. Roger E.A. Farmer & Jang Ting Guo, 1992. "Real Business Cycles and the Animal Spirits Hypothesis," UCLA Economics Working Papers 680, UCLA Department of Economics.
  4. Evans, George & Honkapohja, Seppo, 1986. "A Complete Characterization of ARMA Solutions to Linear Rational Expectations Models," Review of Economic Studies, Wiley Blackwell, vol. 53(2), pages 227-39, April.
  5. Benhabib, J. & Farmer, R.E.A, 1991. "Indeterminacy and Increasing Returns," Papers 165, Cambridge - Risk, Information & Quantity Signals.
  6. 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.
  7. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-81, September.
  8. 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.
  9. 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.
  10. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  11. 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.
  12. Woodford, Michael, 1986. "Learning to Believe in Sunspots," Working Papers 86-16, C.V. Starr Center for Applied Economics, New York University.
  13. 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.
  14. Laurence Broze & Christian Gouriéroux & Ariane Szafarz, 1990. "Reduced Forms of Rational Expectations Models," ULB Institutional Repository 2013/647, ULB -- Universite Libre de Bruxelles.
  15. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
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Cited by:
  1. 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.
  2. 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.
  3. Shu-Heng Chen & Chung-Chih Liao & Pei-Jung Chou, 2008. "On the plausibility of sunspot equilibria," Journal of Economic Interaction and Coordination, Springer, vol. 3(1), pages 25-41, June.
  4. Berardi, Michele, 2009. "Heterogeneous expectations, sunspot equilibria and their fragility," Economics Letters, Elsevier, vol. 105(3), pages 276-279, December.
  5. Evans, George & Honkapohja, Seppo, 2008. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," SIRE Discussion Papers 2008-03, Scottish Institute for Research in Economics (SIRE).
  6. Airaudo, Marco & Nisticò, Salvatore & Zanna, Luis-Felipe, 2012. "Learning, Monetary Policy and Asset Prices," School of Economics Working Paper Series 2012-12, LeBow College of Business, Drexel University.
  7. 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.
  8. Michele Berardi, 2011. "Heterogeneous sunspots solutions under learning and replicator dynamics," Centre for Growth and Business Cycle Research Discussion Paper Series 160, Economics, The Univeristy of Manchester.
  9. 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.
  10. 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.
  11. 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.
  12. William A. Branch & Troy 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. Michele Berardi, 2013. "On the fragility of sunspot equilibria under learning and evolutionary dynamics," Centre for Growth and Business Cycle Research Discussion Paper Series 186, Economics, The Univeristy of Manchester.
  14. Berardi, Michele, 2007. "Heterogeneity and misspecifications in learning," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3203-3227, October.

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