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A Continuity Refinement for Rational Expectations Solutions

  • Bennett T. McCallum

Linear RE models typically possess a multiplicity of solutions. Consider, however, the requirement that the solution coefficients must not be infinitely discontinuous in the model's structural parameters. In particular, we require that the solutions should be continuous in the limit as those parameters, which express quantitatively the extent to which expectations affect endogenous variables, go to zero. The paper shows that under this condition there is, for a very broad class of linear RE models, only a single solution.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 18323.

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Date of creation: Aug 2012
Date of revision:
Handle: RePEc:nbr:nberwo:18323
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  1. Driskill, Robert, 2006. "Multiple equilibria in dynamic rational expectations models: A critical review," European Economic Review, Elsevier, vol. 50(1), pages 171-210, January.
  2. Cochrane, John H., 2009. "Can learnability save new-Keynesian models?," Journal of Monetary Economics, Elsevier, vol. 56(8), pages 1109-1113, November.
  3. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," CEPR Discussion Papers 1908, C.E.P.R. Discussion Papers.
  4. 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.
  5. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
  6. 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.
  7. Bennett T. McCallum, 2009. "Causality, Structure, and the Uniqueness of Rational Expectations Equilibria," NBER Working Papers 15234, National Bureau of Economic Research, Inc.
  8. John H. Cochrane, 2007. "Determinacy and Identification with Taylor Rules," NBER Working Papers 13409, National Bureau of Economic Research, Inc.
  9. Bennett T. McCallum, 2012. "Determinacy, Learnability, Plausibility, and the Role of Money in New Keynesian Models," NBER Working Papers 18215, National Bureau of Economic Research, Inc.
  10. Evans, George W., 1986. "Selection criteria for models with non-uniqueness," Journal of Monetary Economics, Elsevier, vol. 18(2), pages 147-157, September.
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