Consistent Expectations, Rational Expectations, Multiple-Solution Indeterminacies, and Least-Squares Learnability
After some historical discussion of the rational expectations (RE) solution procedures of John Muth, Alan Walters, and Robert Lucas, this paper considers the relevance for actual economies of issues stemming from the existence of multiple RE equilibria. In all linear models, the minimum state variable (MSV) solution as defined by the author (JME, 1983) is unique by construction. While it might be argued that the MSV solution warrants special status as the bubble-free solution, the focus in this paper is on its adaptive, least-squares learnability by individual agents, as discussed extensively in important recent publications by George Evans and Seppo Honkapohja. Although the MSV solution is learnable and the main alternatives are not, in most standard models, Evans and Honkapohja have stressed an example in which the opposite is true. The present paper shows, however, that parameter values yielding that result are such that the model is not well formulated, in a specified sense (one that avoids implausible discontinuities). More generally, analysis of a pair of prominent univariate specifications, featured by Evans and Honkapohja, shows that the MSV solution is invariably learnable in these structures, if they are well formulated.
|Date of creation:||Sep 2002|
|Date of revision:|
|Publication status:||published as Minford, Patrick (ed.) Money Matters: Essays in Honour of Alan Walters. Edward Elgar Publishing, 2004.|
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- Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
- George Evans, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, Oxford University Press, vol. 100(4), pages 1217-1233.
- Robert G. King, 2000. "The new IS-LM model : language, logic, and limits," Economic Quarterly, Federal Reserve Bank of Richmond, issue Sum, pages 45-103.
- James B. Bullard & Kaushik Mitra, 2002.
"Learning about monetary policy rules,"
2000-001, Federal Reserve Bank of St. Louis.
- Stephanie Schmitt-Grohe & Martin Uribe, 2000.
"Liquidity Traps with Global Taylor Rules,"
Departmental Working Papers
200014, Rutgers University, Department of Economics.
- repec:cup:macdyn:v:7:y:2003:i:1:p:63-88 is not listed on IDEAS
- Michael Woodford, 1994. "Nonstandard Indicators for Monetary Policy: Can Their Usefulness Be Judged from Forecasting Regressions?," NBER Chapters, in: Monetary Policy, pages 95-115 National Bureau of Economic Research, Inc.
- 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;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 381-99.
- McCallum, Bennett T., 1981.
"Price level determinacy with an interest rate policy rule and rational expectations,"
Journal of Monetary Economics,
Elsevier, vol. 8(3), pages 319-329.
- Bennett T. McCallum, 1980. "Price Level Determinacy with an Interest Rate Policy Rule and Rational Expectations," NBER Working Papers 0559, National Bureau of Economic Research, Inc.
- Ragna Alstadheim & Dale Henderson, 2006.
"Price-level determinacy, lower bounds on the nominal interest rate, and liquidity traps,"
2006/03, Norges Bank.
- Alstadheim Ragna & Henderson Dale W., 2006. "Price-Level Determinacy, Lower Bounds on the Nominal Interest Rate, and Liquidity Traps," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-27, November.
- Ragna Alstadheim & Dale W. Henderson, 2004. "Price-level determinacy, lower bounds on the nominal interest rate, and liquidity traps," International Finance Discussion Papers 795, Board of Governors of the Federal Reserve System (U.S.).
- Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 1998.
"The Perils of Taylor Rules,"
98-37, C.V. Starr Center for Applied Economics, New York University.
- Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 1999. "The Perils of Taylor Rules," CEPR Discussion Papers 2314, C.E.P.R. Discussion Papers.
- Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1998. "The perils of Taylor Rules," Departmental Working Papers 199831, Rutgers University, Department of Economics.
- Narayana R. Kocherlakota & Christopher Phelan, 1999. "Explaining the fiscal theory of the price level," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 14-23.
- Clarida, Richard & Galí, Jordi & Gertler, Mark, 1999.
"The Science of Monetary Policy: A New Keynesian Perspective,"
CEPR Discussion Papers
2139, C.E.P.R. Discussion Papers.
- Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
- Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," NBER Working Papers 7147, National Bureau of Economic Research, Inc.
- Richard Clarida & Jordi Galí & Mark Gertler, 1997. "The science of monetary policy: A new Keynesian perspective," Economics Working Papers 356, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 1999.
- Clarida, R. & Gali, J. & Gertler, M., 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Working Papers 99-13, C.V. Starr Center for Applied Economics, New York University.
- John H. Cochrane, 1998.
"A Frictionless View of U.S. Inflation,"
NBER Working Papers
6646, National Bureau of Economic Research, Inc.
- Sargent, Thomas J, 1971. "A Note on the 'Accelerationist' Controversy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 3(3), pages 721-25, August.
- 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.
- Peter Isard & Douglas Laxton & Ann-Charlotte Eliasson, 1999.
"Simple Monetary Policy Rules Under Model Uncertainty,"
International Tax and Public Finance,
Springer;International Institute of Public Finance, vol. 6(4), pages 537-577, November.
- Peter Isard & Douglas Laxton & Ann-Charlotte Eliasson, 1999. "Simple Monetary Policy Rules Under Model Uncertainty," Computing in Economics and Finance 1999 841, Society for Computational Economics.
- Ann-Charlotte Eliasson & Peter Isard & Douglas Laxton, 1999. "Simple Monetary Policy Rules Under Model Uncertainty," IMF Working Papers 99/75, International Monetary Fund.
- 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.
- Gauthier, St phane, 2003.
"Dynamic Equivalence Principle In Linear Rational Expectations Models,"
Cambridge University Press, vol. 7(01), pages 63-88, February.
- Stéphane Gauthier, 2003. "Dynamic equivalence principle in linear rational expectations models," Post-Print halshs-00069499, HAL.
- 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.
- Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
- Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
- Wenzelburger, Jan, 2006. "Learning in linear models with expectational leads," Journal of Mathematical Economics, Elsevier, vol. 42(7-8), pages 854-884, November.
- Walters, A A, 1971. "Consistent Expectations, Distributed Lags and the Quantity Theory," Economic Journal, Royal Economic Society, vol. 81(322), pages 273-81, June.
- Brayton, Flint & Levin, Andrew & Lyon, Ralph & Williams, John C., 1997. "The evolution of macro models at the Federal Reserve Board," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 47(1), pages 43-81, December.
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