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

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  • 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.

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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

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Handle: RePEc:eee:dyncon:v:35:y:2011:i:3:p:295-311

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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

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  1. Graham, Liam & Wright, Stephen, 2010. "Information, heterogeneity and market incompleteness," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 164-174, March.
  2. Kristoffer Nimark, 2007. "Dynamic higher order expectations," Economics Working Papers 1118, Department of Economics and Business, Universitat Pompeu Fabra, revised Mar 2011.
  3. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
  4. Fabrice Collard & Harris Dellas, 2009. "Monetary Misperceptions, Output and Inflation Dynamics," School of Economics Working Papers 2009-23, University of Adelaide, School of Economics.
  5. Svensson, Lars & Woodford, Michael, 2000. "Indicator Variables for Optimal Policy," Seminar Papers 688, Stockholm University, Institute for International Economic Studies.
  6. Pearlman, Joseph & Currie, David & Levine, Paul, 1986. "Rational expectations models with partial information," Economic Modelling, Elsevier, vol. 3(2), pages 90-105, April.
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  9. John Y. Campbell, 1992. "Inspecting the Mechanism: An Analytical Approach to the Stochastic Growth Model," NBER Working Papers 4188, National Bureau of Economic Research, Inc.
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  11. 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.
  12. 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.
  13. Prescott, Edward C & Mehra, Rajnish, 1980. "Recursive Competitive Equilibrium: The Case of Homogeneous Households," Econometrica, Econometric Society, vol. 48(6), pages 1365-79, September.
  14. Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-88, August.
  15. 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.
  16. Guido Lorenzoni, 2009. "A Theory of Demand Shocks," American Economic Review, American Economic Association, vol. 99(5), pages 2050-84, December.
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Citations

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Cited by:
  1. Liam Graham, 2011. "Learning, information and heterogeneity," CDMA Working Paper Series 201113, Centre for Dynamic Macroeconomic Analysis.
  2. 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.
  3. Seong-Hoon Kim, 2012. "Sequential Action and Beliefs Under Partially Observable DSGE Environments," Computational Economics, Society for Computational Economics, vol. 40(3), pages 219-244, October.
  4. Hürtgen, Patrick, 2014. "Consumer misperceptions, uncertain fundamentals, and the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 279-292.
  5. 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.

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