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Efficient Techniques to Analyze Transitional Dynamics in Models of Economic Growth

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Author Info
Martin Brunner ()
Holger Strulik ()

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Abstract

Quantitative aspects of adjustment processes in economic growth remain frequently unsolved or are tackled with bulky or inaccurate methods like multiple shooting or log-linearization. Mulligan's (1991) method of time elimination, however, has improved the analysis of saddle path dynamics in both, efficiency and simplicity. We show the inadequacy of multiple shooting methods for the analysis of deterministic continuous time infinite horizon optimization problems. The main part of the presents arefinement of the time elimination method and the methods of reversed time and reversed slope. All approaches are built on the one idea of transforming a numerically inherent instable boundary value problem into an inherent stable initial value problem. This yields easy to handle computational methods for finding the exact time path for economies in transition. The main purpose of the paper, however, is not to present genuinely new ideas but to motivate researchers and students to examine transitional dynamics by explaning how easy all this can be done.

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Paper provided by Hamburg University, Department of Economics in its series Quantitative Macroeconomics Working Papers with number 19702.

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Date of creation: Oct 1997
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Handle: RePEc:ham:qmwops:19702

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Related research
Keywords: Economic Growth; Transitional Economics; Boundary Value Problems;

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Find related papers by JEL classification:
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Mercenier, J. & Michel, P., 1991. "A Criterion for Time Aggregation Intertemporal Dynamic Models," Cahiers de recherche 9108, Universite de Montreal, Departement de sciences economiques.
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  2. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December. [Downloadable!] (restricted)
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  3. Ellen R. McGrattan, 1998. "Application of weighted residual methods to dynamic economic models," Staff Report 232, Federal Reserve Bank of Minneapolis. [Downloadable!]
  4. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June. [Downloadable!] (restricted)
  5. Casey B. Mulligan & Xavier Sala-i-Martin, 1992. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," NBER Working Papers 3986, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. David Lipton & James M. Poterba & Jeffrey Sachs & Lawrence H. Summers, 1983. "Multiple Shooting in Rational Expectations Models," NBER Technical Working Papers 0003, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  7. Casey B. Mulligan & Xavier Sala-i-Martin, 1991. "A Note on the Time-Elimination Method For Solving Recursive Dynamic Economic Models," NBER Technical Working Papers 0116, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  8. Mercenier, Jean & Michel, Philippe, 1994. "Discrete-Time Finite Horizon Appromixation of Infinite Horizon Optimization Problems with Steady-State Invariance," Econometrica, Econometric Society, vol. 62(3), pages 635-56, May. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Michael Funke & Holger Strulik, 1998. "Leverage as a Conditioning Variable for Employment: An Analysis of a Panel of West German Manufacturing Firms," Quantitative Macroeconomics Working Papers 19804, Hamburg University, Department of Economics. [Downloadable!]
  2. Michael Funke & Holger Strulik, 2000. "On Endogenous Growth with Physical Capital, Human Capital and Product Variety," Quantitative Macroeconomics Working Papers 20004, Hamburg University, Department of Economics. [Downloadable!]
    Other versions:
  3. Holger Strulik & Martin Brunner, 2001. "A Simple and Intuitive Method to Solve Small Rational Expectations Models," Quantitative Macroeconomics Working Papers 20106, Hamburg University, Department of Economics. [Downloadable!]
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