Advanced Search
MyIDEAS: Login to save this article or follow this journal

Invertible and non-invertible information sets in linear rational expectations models

Contents:

Author Info

  • Baxter, Brad
  • Graham, Liam
  • Wright, Stephen

Abstract

Rational expectations solutions are usually derived by assuming that all state variables relevant to forward-looking behaviour are directly observable, or that they are "...an invertible function of observables" (Mehra and Prescott, 1980). Using a framework that nests linearised DSGE models, we give a number of results useful for the analysis of linear rational expectations models with restricted information sets. We distinguish between instantaneous and asymptotic invertibility, and show that the latter may require significantly less information than the former. We also show that non-invertibility of the information set can have significant implications for the time series properties of economies.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.sciencedirect.com/science/article/B6V85-51G9BVP-1/2/21c4da514474efaaf2b5573ef8f53caa
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 35 (2011)
Issue (Month): 3 (March)
Pages: 295-311

as in new window
Handle: RePEc:eee:dyncon:v:35:y:2011:i:3:p:295-311

Contact details of provider:
Web page: http://www.elsevier.com/locate/jedc

Related research

Keywords: Imperfect information Invertibility Rational expectations Fundamental versus nonfundamental time series representations Kalman filter Dynamic stochastic general equilibrium;

References

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.:
as in new window
  1. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
  2. Svensson, Lars E. O. & Woodford, Michael, 2003. "Indicator variables for optimal policy," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 691-720, April.
  3. Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-88, August.
  4. Keen, Benjamin D., 2010. "The Signal Extraction Problem Revisited: A Note On Its Impact On A Model Of Monetary Policy," Macroeconomic Dynamics, Cambridge University Press, vol. 14(03), pages 405-426, June.
  5. Graham, Liam & Wright, Stephen, 2010. "Information, heterogeneity and market incompleteness," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 164-174, March.
  6. 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.
  7. Jesus Fernandez-Villaverde & Juan Rubio-Ramirez & Thomas J. Sargent, 2005. "A, B, C's (and D)'s for Understanding VARs," NBER Technical Working Papers 0308, National Bureau of Economic Research, Inc.
  8. Fabrice Collard & Harris Dellas, 2009. "Monetary Misperceptions, Output and Inflation Dynamics," School of Economics Working Papers 2009-23, University of Adelaide, School of Economics.
  9. Kristoffer Nimark, 2007. "Dynamic higher order expectations," Economics Working Papers 1118, Department of Economics and Business, Universitat Pompeu Fabra, revised Mar 2011.
  10. Svensson, Lars E. O. & Woodford, Michael, 2001. "Indicator Variables for Optimal Policy under Asymmetric Information," Seminar Papers 689, Stockholm University, Institute for International Economic Studies.
  11. Guido Lorenzoni, 2006. "A Theory of Demand Shocks," NBER Working Papers 12477, National Bureau of Economic Research, Inc.
  12. Campbell, John, 1994. "Inspecting the Mechanism: An Analytical Approach to the Stochastic Growth Model," Scholarly Articles 3196342, Harvard University Department of Economics.
  13. Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
  14. Pearlman, Joseph G., 1992. "Reputational and nonreputational policies under partial information," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 339-357, April.
  15. McCallum, Bennett T., 1998. "Solutions to linear rational expectations models: a compact exposition," Economics Letters, Elsevier, vol. 61(2), pages 143-147, November.
  16. Prescott, Edward C & Mehra, Rajnish, 1980. "Recursive Competitive Equilibrium: The Case of Homogeneous Households," Econometrica, Econometric Society, vol. 48(6), pages 1365-79, September.
  17. Lippi, Marco & Reichlin, Lucrezia, 1994. "VAR analysis, nonfundamental representations, blaschke matrices," Journal of Econometrics, Elsevier, vol. 63(1), pages 307-325, July.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Liam Graham, 2011. "Learning, information and heterogeneity," CDMA Working Paper Series 201113, Centre for Dynamic Macroeconomic Analysis.
  2. Seong-Hoon Kim, 2011. "Sequential Action and Beliefs under Partially Observable DSGE Environments," CDMA Working Paper Series 201116, Centre for Dynamic Macroeconomic Analysis.
  3. Manoj Atolia & Ryan Chahrour, 2013. "Intersectoral Linkages, Diverse Information, and Aggregate Dynamics in a Neoclassical Model," Boston College Working Papers in Economics 832, Boston College Department of Economics.
  4. Patrick Hürtgen, 2011. "Consumer Misperceptions, Uncertain Fundamentals, and the Business Cycle," Bonn Econ Discussion Papers bgse10_2011, University of Bonn, Germany.
  5. Anna Kormilitsina, 2013. "Solving Rational Expectations Models with Informational Subperiods: A Perturbation Approach," Computational Economics, Society for Computational Economics, vol. 41(4), pages 525-555, April.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:35:y:2011:i:3:p:295-311. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.