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Role of the Minimal State Variable Criterion in Rational Expectations Models

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Bennett McCallum

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Abstract

This paper concerns the minimal-state-variable (MSV) criterion for selection among solutions in rational expectationsmodels that feature a multiplicity of paths that satisfy all of the model's conditions. It compares the MSVcriterion with others, including the widely used saddle-path (dynamic stability) criterion. It is emphasized that theMSV criterion can be viewed as a scientifically useful classification scheme that delineates the unique solutionthat is free of bubble components. In the process of demonstrating uniqueness for a broad class of linear models,the paper exposits a convenient computational procedure. Applications to current issues are outlined. Copyright Kluwer Academic Publishers 1999

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File URL: http://hdl.handle.net/10.1023/A:1008746610773
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Publisher Info
Article provided by Springer in its journal International Tax and Public Finance.

Volume (Year): 6 (1999)
Issue (Month): 4 (November)
Pages: 621-639
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Handle: RePEc:kap:itaxpf:v:6:y:1999:i:4:p:621-639

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Web page: http://www.springerlink.com/link.asp?id=102915

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Related research
Keywords: expectations; bubbles; uniqueness; stability; state variables; multiplicity;

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References listed on IDEAS
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  1. 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.
    Other versions:
  2. 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.
  3. McCallum, Bennett T., 1998. "Solutions to linear rational expectations models: a compact exposition," Economics Letters, Elsevier, vol. 61(2), pages 143-147, November. [Downloadable!] (restricted)
    Other versions:
  4. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-87, August. [Downloadable!] (restricted)
    Other versions:
  5. 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. [Downloadable!] (restricted)
  6. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Intrinsic Bubbles: The Case of Stock Prices," American Economic Review, American Economic Association, vol. 81(5), pages 1189-214, December. [Downloadable!] (restricted)
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  7. Svensson, Lars E.O., 1998. "Inflation Targeting as a Monetary Policy Rule," Seminar Papers 646, Stockholm University, Institute for International Economic Studies. [Downloadable!]
    Other versions:
  8. Gray, Jo Anna, 1984. "Dynamic Instability in Rational Expectations Models: An Attempt to Clarify," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 93-122, February. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. Burmeister, Edwin & Flood, Robert P. & Garber, Peter M., 1983. "On the equivalence of solutions in rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 5(1), pages 311-321, February. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. 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. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
  14. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September. [Downloadable!] (restricted)
  15. Taylor, John B, 1977. "Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations," Econometrica, Econometric Society, vol. 45(6), pages 1377-85, September. [Downloadable!] (restricted)
  16. William Kerr & Robert G. King, 1996. "Limits on interest rate rules in the IS model," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 47-75. [Downloadable!]
  17. Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December. [Downloadable!] (restricted)
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