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Solution of Perfect Foresight Saddlepoint Problems: A Simple Method and Applications

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Author Info
Martin Brunner ()
Holger Strulik ()
Abstract

Economists frequently confine themselves to the qualitative analysis of continuous optimization problems or they restrict their quantitative analysis to inaccurate methods like linearization around the steady state. The fact that the solution is characterized by an inherently unstable adjustment path arriving at a boundary value in infinite time, however, does not necessarily imply a complicated solution method. The paper explains and demonstrates the method of backward integration, a recursive solution method that does not only reveal the exact adjustment path but that is also very easy to use.

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Paper provided by Hamburg University, Department of Economics in its series Quantitative Macroeconomics Working Papers with number 19805.

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Date of creation: Nov 1998
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Handle: RePEc:ham:qmwops:19805

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Related research
Keywords: Economic Growth; Transitional Economics; Saddlepoint Problems;

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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  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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  1. Funke, M. & Strulik, H., 1999. "Growth and Convergence in a Two-Region Model of Unified Germany," Electronic-Only (EO) Working Papers 9905, Faculty of Economics, University of Cambridge. [Downloadable!]
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