The Unique Minimum State Variable RE Soluiton is E-Stable in All Well Formulated Linear Models
This paper explores the relationship between the closely linked concepts of E-stability and least-squares learnability, featured in important recent work by Evans and Honkapohja (1999, 2001), and the minimum-state-variable (MSV) solution concept introduced by McCallum (1983) and used by many researchers for rational expectations (RE) analysis. It is shown that the MSV solution, which is unique by construction, is E-stable—and therefore LS learnable if nonexplosive—in all linear RE models that satisfy conditions for being “well formulated.” The latter property, introduced in the paper, consists of two requirements. The first is that a model’s structural parameters are restricted so as to avoid any infinite discontinuity, of the steady state values of endogenous variables, in response to small changes in these parameters. (It can be expressed cleanly in terms of the eigenvalues of a matrix that is the sum of those attached to the one period ahead and one period lagged values of the endogenous variables in a first-order vector formulation of the model.) The second, which is needed infrequently, is that the parameters are restricted to prevent any infinite discontinuities in the MSV solution response coefficients.
To our knowledge, this item is not available for
download. To find whether it is available, there are three
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
|Date of creation:||Nov 2002|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.tepper.cmu.edu/
|Order Information:||Web: http://student-3k.tepper.cmu.edu/gsiadoc/GSIA_WP.asp|
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.:
- Robert A. Driskill, 2002. "A Proposal for a Selection Criterion in a Class of Dynamic Rational Expectations Models with Multiple Equilibria," Vanderbilt University Department of Economics Working Papers 0210, Vanderbilt University Department of Economics.
- Sims, Christopher A, 1994. "A Simple Model for Study of the Determination of the Price Level and the Interaction of Monetary and Fiscal Policy," Economic Theory, Springer, vol. 4(3), pages 381-99.
- Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 1999.
"The Perils of Taylor Rules,"
CEPR Discussion Papers
2314, C.E.P.R. Discussion Papers.
- Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 1998. "The Perils of Taylor Rules," Working Papers 98-37, C.V. Starr Center for Applied Economics, New York University.
- Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1998. "The perils of Taylor Rules," Departmental Working Papers 199831, Rutgers University, Department of Economics.
- King, Robert G & Watson, Mark W, 1998. "The Solution of Singular Linear Difference Systems under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1015-26, November.
- G. Desgranges & Stéphane Gauthier, 2003.
"Uniqueness of bubble-free solution in linear rational expectations models,"
- Desgranges, Gabriel & Gauthier, St phane, 2003. "Uniqueness Of Bubble-Free Solution In Linear Rational Expectations Models," Macroeconomic Dynamics, Cambridge University Press, vol. 7(02), pages 171-191, April.
- repec:cup:macdyn:v:7:y:2003:i:1:p:63-88 is not listed on IDEAS
- 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.
- Bennett T. McCallum, 1981. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc.
- Ben S. Bernanke & Michael Woodford, 1997.
"Inflation Forecasts and Monetary Policy,"
NBER Working Papers
6157, National Bureau of Economic Research, Inc.
- Ben S. Bernanke & Michael Woodford, 1997. "Inflation forecasts and monetary policy," Proceedings, Federal Reserve Bank of Cleveland, pages 653-686.
- Bernanke, Ben S & Woodford, Michael, 1997. "Inflation Forecasts and Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 653-84, November.
- Gauthier, St phane, 2003.
"Dynamic Equivalence Principle In Linear Rational Expectations Models,"
Cambridge University Press, vol. 7(01), pages 63-88, February.
- Stéphane Gauthier, 2003. "Dynamic equivalence principle in linear rational expectations models," Post-Print halshs-00069499, HAL.
- Flood, Robert P & Garber, Peter M, 1980. "An Economic Theory of Monetary Reform," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 24-58, February.
- Binder,M. & Pesaran,H.M., 1995.
"Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results,"
Cambridge Working Papers in Economics
9415, Faculty of Economics, University of Cambridge.
- Michael Binder & M. Hashem Pesaran, 1994. "GAUSS and Matlab codes for Multivariate Rational Expectations Models and Macroeconometric Modelling: A Review and Some New Results," QM&RBC Codes 74, Quantitative Macroeconomics & Real Business Cycles.
- James Bullard & Kaushik Mitra, 2002.
"Learning about monetary policy rules,"
2000-001, Federal Reserve Bank of St. Louis.
- Michael Woodford, 1994. "Nonstandard Indicators for Monetary Policy: Can Their Usefulness Be Judged from Forecasting Regressions?," NBER Chapters, in: Monetary Policy, pages 95-115 National Bureau of Economic Research, Inc.
- Bennett T. McCallum, 2002. "Consistent Expectations, Rational Expectations, Multiple-Solution Indeterminacies, and Least-Squares Learnability," NBER Working Papers 9218, National Bureau of Economic Research, Inc.
- repec:cup:macdyn:v:7:y:2003:i:2:p:171-91 is not listed on IDEAS
- John H. Cochrane, 1998.
"A Frictionless View of U.S. Inflation,"
NBER Working Papers
6646, National Bureau of Economic Research, Inc.
- DeCanio, Stephen J, 1979. "Rational Expectations and Learning from Experience," The Quarterly Journal of Economics, MIT Press, vol. 93(1), pages 47-57, February.
- 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.
- Evans, George, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, MIT Press, vol. 100(4), pages 1217-33, November.
- Wenzelburger, Jan, 2006. "Learning in linear models with expectational leads," Journal of Mathematical Economics, Elsevier, vol. 42(7-8), pages 854-884, November.
- Robert G. King, 2000. "The new IS-LM model : language, logic, and limits," Economic Quarterly, Federal Reserve Bank of Richmond, issue Sum, pages 45-103.
- Desgranges, G. & Gauthier, S., 1999. "On the Uniqueness of the Bubble-Free Solution in Linear Rational Expectations Models," G.R.E.Q.A.M. 99a45, Universite Aix-Marseille III.
- Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
- 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.
- Bray, Margaret, 1982. "Learning, estimation, and the stability of rational expectations," Journal of Economic Theory, Elsevier, vol. 26(2), pages 318-339, April.
- Narayana Kocherlakota & Christopher Phelan, 1999. "Explaining the fiscal theory of the price level," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 14-23.
When requesting a correction, please mention this item's handle: RePEc:cmu:gsiawp:906654633. 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: (Steve Spear)
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.