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.
|Date of creation:||Aug 2009|
|Date of revision:|
|Publication status:||published as Bennett T. Mccallum, 2011. "Causality, Structure And The Uniqueness Of Rational Expectations Equilibria," Manchester School, University of Manchester, vol. 79(s1), pages 551-566, 06.|
|Contact details of provider:|| Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.|
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- 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.
- Zellner, Arnold, 1979. "Causality and econometrics," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 10(1), pages 9-54, January.
- John H. Cochrane, 2007.
"Determinacy and Identification with Taylor Rules,"
NBER Working Papers
13410, National Bureau of Economic Research, Inc.
- McCallum, Bennett T., 2003.
"Multiple-solution indeterminacies in monetary policy analysis,"
Journal of Monetary Economics,
Elsevier, vol. 50(5), pages 1153-1175, July.
- Bennett T. McCallum, 2003. "Multiple-Solution Indeterminacies in Monetary Policy Analysis," NBER Working Papers 9837, National Bureau of Economic Research, Inc.
- Bennett McCallum, . "Multiple-Solution Indeterminacies in Monetary Policy Analysis," GSIA Working Papers 2003-E77, Carnegie Mellon University, Tepper School of Business.
- 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.
- McCallum, Bennett T., 2004.
"On the relationship between determinate and MSV solutions in linear RE models,"
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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
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