The Reduction of Dimension in the Study of Economic Growth Models
AbstractWe examine the dimension reduction method and prove that it could be isleading if we try to get some insight tinto the dynamics of the original system from the dynamics of the transformed system alone. The reduced system seemingly may give rise to a continuum multiplicity of steady states when, actually, it does exist a unique and isolated steady state or even it does not exist a steady state at all. We show how the dynamics for the primary variables that is recovered from the solution to the reduced system may be refuted by solving the original one. In our opinion there is no alternative because nothing can be regarded as a close substitute for the study of the original system. Although this method has been extensively used in studying different versions of the Lucas-Uzawa two-sector model, we will focus on one-sector models for checking its validity in the simplest way.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by FEDEA in its series Working Papers with number 2001-13.
Date of creation:
Date of revision:
Contact details of provider:
Web page: http://www.fedea.net
This paper has been announced in the following NEP Reports:
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.:
- Mulligan, C.B. & Sala-i-Martin, X., 1992.
"Transitional Dynamics in Two-Sector Models of Endogenous Growth,"
651, Yale - Economic Growth Center.
- Mulligan, Casey B & Sala-i-Martin, Xavier, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 739-73, August.
- 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.
- Sergio Rebelo, 1999.
"Long Run Policy Analysis and Long Run Growth,"
Levine's Working Paper Archive
2114, David K. Levine.
- 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.
- Robert J. Barro & Paul Romer, 1993.
National Bureau of Economic Research, Inc, number barr93-1.
- Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
- Fernando Fernández-Rodríguez & Christian González-Martel & Simón Sosvilla-Rivero, .
"Optimisation of Technical Rules by Genetic Algorithms: Evidence from the Madrid Stock Market,"
- Fernando Fernandez-Rodriguez & Christian Gonzalez-Martel & Simon Sosvilla-Rivero, 2005. "Optimization of technical rules by genetic algorithms: evidence from the Madrid stock market," Applied Financial Economics, Taylor and Francis Journals, vol. 15(11), pages 773-775.
- José Ramón Ruiz-Tamarit, . "Multiplicity, Overtaking and Convergence in the Lucas Two-Sector Growth Model," Working Papers 2002-17, FEDEA.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Carmen Arias).
If references are entirely missing, you can add them using this form.