Causality, Structure And The Uniqueness Of Rational Expectations Equilibria
Consider a rational expectations (RE) model that includes a relationship between variables x t and z t+1 . To be considered structural and potentially useful as a guide to actual behavior, this model must specify whether x t is influenced by the expectation at t of z t+1 or, alternatively, that z t+1 is directly influenced (via some inertial mechanism) by x t (i.e., that z t is influenced by x t-1 ). These are quite different phenomena. Here it is shown that, for a very broad class of multivariate linear RE models, distinct causal specifications involving both expectational and inertial influences will be uniquely associated with distinct solutions--which will result operationally from different specifications concerning which of the model's variables are predetermined. It follows that for a given structure, and with a natural continuity assumption, there is only one RE solution that is fully consistent with the model's specification. Furthermore, this solution does not involve "sunspot" phenomena.
(This abstract was borrowed from another version of this item.)
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.
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.
Volume (Year): 79 (2011)
Issue (Month): s1 (06)
|Contact details of provider:|| Postal: |
Phone: (0)161 275 4868
Fax: (0)161 275 4812
Web page: http://www.blackwellpublishing.com/journal.asp?ref=1463-6786
More information through EDIRC
|Order Information:||Web: http://www.blackwellpublishing.com/subs.asp?ref=1463-6786|
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.:
- Bennett McCallum, 2004.
"On the Relationship Between Determinate and MSV Solutions in Linear RE Models,"
NBER Technical Working Papers
0297, National Bureau of Economic Research, Inc.
- McCallum, Bennett T., 2004. "On the relationship between determinate and MSV solutions in linear RE models," Economics Letters, Elsevier, vol. 84(1), pages 55-60, July.
- Bennett McCallum, . "On the Relationship Between Determinate and MSV Solutions in Linear RE Models," GSIA Working Papers 2003-E78, Carnegie Mellon University, Tepper School of Business.
- Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
- Sims, Christopher A, 2002.
"Solving Linear Rational Expectations Models,"
Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
- Christopher Sims, 2001. "Matlab Code for Solving Linear Rational Expectations Models," QM&RBC Codes 11, Quantitative Macroeconomics & Real Business Cycles.
- John H. Cochrane, 2007.
"Determinacy and Identification with Taylor Rules,"
NBER Working Papers
13409, National Bureau of Economic Research, Inc.
- Zellner, Arnold, 1979. "Causality and econometrics," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 10(1), pages 9-54, January.
- Lubik, Thomas A. & Schorfheide, Frank, 2003. "Computing sunspot equilibria in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 273-285, November.
- Bennett T. McCallum, 2006.
"E-Stability vis-a-vis Determinacy Results for a Broad Class of Linear Rational Expectations Models,"
NBER Working Papers
12441, National Bureau of Economic Research, Inc.
- 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.
- Calvo, Guillermo A., 1978. "On the indeterminacy of interest rates and wages with perfect foresight," Journal of Economic Theory, Elsevier, vol. 19(2), pages 321-337, December.
- 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.
- Blanchard, Olivier J, 1979. "Backward and Forward Solutions for Economies with Rational Expectations," American Economic Review, American Economic Association, vol. 69(2), pages 114-18, May.
- McCallum, Bennett T., 2003.
"Multiple-solution indeterminacies in monetary policy analysis,"
Journal of Monetary Economics,
Elsevier, vol. 50(5), pages 1153-1175, July.
- Bennett McCallum, . "Multiple-Solution Indeterminacies in Monetary Policy Analysis," GSIA Working Papers 2003-E77, Carnegie Mellon University, Tepper School of Business.
- Bennett T. McCallum, 2003. "Multiple-Solution Indeterminacies in Monetary Policy Analysis," NBER Working Papers 9837, National Bureau of Economic Research, Inc.
- 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.
When requesting a correction, please mention this item's handle: RePEc:bla:manchs:v:79:y:2011:i:s1:p:551-566. 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: (Wiley-Blackwell Digital Licensing)or (Christopher F. Baum)
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.