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Saddlepath learning

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Author Info

  • Ellison, Martin
  • Pearlman, Joseph

Abstract

Saddlepath learning occurs when agents learn adaptively using a perceived law of motion that has the same form as the saddlepath relationship in rational expectations equilibrium. Under saddlepath learning, we obtain a completely general relationship between determinacy and e-stability, and generalise minimum state variable results previously derived only under full information. When the system is determinate, we show that a learning process based on the saddlepath is always e-stable. When the system is indeterminate, we find there is a unique MSV solution that is iteratively e-stable. However, in this case there is a sunspot solution that is learnable as well. We conclude by demonstrating that our results hold for any information set.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 146 (2011)
Issue (Month): 4 (July)
Pages: 1500-1519

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Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1500-1519

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: E-stability Determinacy Learning Saddlepath stability;

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References

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  1. Bennett T. McCallum, 2003. "The Unique Minimum State Variable RE Solution is E-Stable in All Well Formulated Linear Models," NBER Working Papers 9960, National Bureau of Economic Research, Inc.
  2. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
  3. Klaus Adam, 2003. "Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky Prices," Review of Economic Studies, Wiley Blackwell, vol. 70(4), pages 887-907, October.
  4. Vitor Gaspar & Frank Smets & David Vestin, 2006. "Adaptive Learning, Persistence, and Optimal Monetary Policy," Journal of the European Economic Association, MIT Press, vol. 4(2-3), pages 376-385, 04-05.
  5. Kaushik Mitra & James Bullard, . "Learning About Monetary Policy Rules," Discussion Papers 00/41, Department of Economics, University of York.
  6. James B. Bullard & Stefano Eusepi, 2009. "When does determinacy imply expectational stability?," Working Papers 2008-007, Federal Reserve Bank of St. Louis.
  7. Chryssi Giannitsarou, 2004. "Supply-side reforms and learning dynamics," Money Macro and Finance (MMF) Research Group Conference 2003 36, Money Macro and Finance Research Group.
  8. Bennett T. McCallum, 1998. "Solutions to Linear Rational Expectations Models: A Compact Exposition," NBER Technical Working Papers 0232, National Bureau of Economic Research, Inc.
  9. Bennett McCallum, 1999. "Role of the Minimal State Variable Criterion in Rational Expectations Models," International Tax and Public Finance, Springer, vol. 6(4), pages 621-639, November.
  10. McCallum, Bennett T., 2007. "E-stability vis-a-vis determinacy results for a broad class of linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1376-1391, April.
  11. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
  12. Sargent, Thomas J & Wallace, Neil, 1973. "Rational Expectations and the Dynamics of Hyperinflation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 328-50, June.
  13. 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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Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. Rational Expectations and Phillips Curves
    by Mainly Macro in Mainly Macro on 2012-03-11 10:03:00
  2. Rational Expectations and Phillips Curves
    by Mainly Macro in Mainly Macro on 2012-03-11 10:03:00
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Cited by:
  1. Bai, Yuting & Kirsanova, Tatiana, 2013. "Infrequent Fiscal Stabilization," SIRE Discussion Papers 2013-17, Scottish Institute for Research in Economics (SIRE).
  2. Guido Ascari & Argia M. Sbordone, 2013. "The Macroeconomics of Trend Inflation," DEM Working Papers Series 053, University of Pavia, Department of Economics and Management.
  3. Holden, Tom, 2008. "Rational macroeconomic learning in linear expectational models," MPRA Paper 10872, University Library of Munich, Germany.
  4. Tom Holden, 2012. "Learning from learners," School of Economics Discussion Papers 1512, School of Economics, University of Surrey.
  5. Liam Graham, 2011. "Individual rationality, model-consistent expectations and learning," CDMA Working Paper Series 201112, Centre for Dynamic Macroeconomic Analysis.
  6. Paul Levine & Joseph Pearlman & Bo Yang, 2012. "Imperfect Information, Optimal Monetary Policy and Informational Consistency," School of Economics Discussion Papers 1012, School of Economics, University of Surrey.

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