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Refining Linear Rational Expectations Models and Equilibria

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  • Seonghoon Cho
  • Bennett T. McCallum

Abstract

This paper proposes forward convergence as a model refinement scheme for linear rational expectations (LRE) models and an associated no-bubble condition as a solution selection criterion. We relate these two concepts to determinacy and characterize the complete set of economically relevant rational expectations solutions to the LRE models under determinacy and indeterminacy. Our results show (1) why a determinate solution is economically meaningful in most, but not all, cases, and (2) that those models that are not forward-convergent have no economically relevant solutions.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 18348.

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Date of creation: Aug 2012
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Handle: RePEc:nbr:nberwo:18348

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  1. 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.
  2. Kaushik Mitra & James Bullard, . "Learning About Monetary Policy Rules," Discussion Papers 00/41, Department of Economics, University of York.
  3. Honkapohja, Seppo & Mitra, Kaushik, 2001. "Are Non-Fundamental Equilibria Learnable in Models of Monetary Policy?," CEPR Discussion Papers 2846, C.E.P.R. Discussion Papers.
  4. 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.
  5. 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.
  6. Bennett T. McCallum, 1998. "Solutions to Linear Rational Expectations Models: A Compact Exposition," NBER Technical Working Papers 0232, National Bureau of Economic Research, Inc.
  7. Driskill, Robert, 2006. "Multiple equilibria in dynamic rational expectations models: A critical review," European Economic Review, Elsevier, vol. 50(1), pages 171-210, January.
  8. 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.
  9. Cho, Seonghoon & Moreno, Antonio, 2011. "The forward method as a solution refinement in rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 257-272, March.
  10. 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.
  11. 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.
  12. 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.
  13. Cho, Seonghoon & McCallum, Bennett T., 2009. "Another weakness of "determinacy" as a selection criterion for rational expectations models," Economics Letters, Elsevier, vol. 104(1), pages 17-19, July.
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