Solving Nonlinear Economic Models Accurately Via a Linear Representation
This paper focuses on one way a linearized representation of a nonlinear economic model can be used to obtain arbitrarily accurate solutions to simulations. The key is a method for translating a simulation problem directly to a so-called initial value problem. Since many different methods for solving initial value problems are known and well understood, and since each one converts to an algorithm for solving simulation problems, this insight greatly expands the computational tool kit for conducting simulations. This paper contains a survey of the theoretical results guaranteeing convergence and forming the basis for extrapolations of two important methods for solving initial value problems. Theoretical considerations suggest that the faster rate of convergence of one of these methods (the modified midpoint method) is likely to cause it to dominate the other (Euler's method) in many situations faced by applied general equilibrium modellers. The other main points of the paper are: (a) to emphasize that linearized (symbolic) representations of models lead naturally to efficient algorithms which can be used to compute solutions having any desired degree of precision; and (b) to suggest that such accurate methods (rather than Johansen's method) should be the default when solving models (especially applied general equilibrium models) represented in linearized form.
|Date of creation:||Jul 1991|
|Date of revision:|
|Contact details of provider:|| Postal: PO Box 14428, Melbourne, Victoria, 8001|
Phone: 03 9919 1877
Web page: http://www.copsmodels.com/about.htm
More information through EDIRC
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.:
- Hertel, Thomas W. & Mark Horridge, J. & Pearson, K. R., 1992.
"Mending the family tree a reconciliation of the linearization and levels schools of AGE modelling,"
Elsevier, vol. 9(4), pages 385-407, October.
- Thomas W. Hertel & J. Mark Horridge & K. R. Pearson, 1991. "Mending the Family Tree: A Reconciliation of the Linearization and Levels Schools of CGE Modelling," Centre of Policy Studies/IMPACT Centre Working Papers ip-54, Victoria University, Centre of Policy Studies/IMPACT Centre.
- K.R. Pearson, 1986.
"Automating the Computation of Solutions of Large Economic Models,"
Centre of Policy Studies/IMPACT Centre Working Papers
ip-27, Victoria University, Centre of Policy Studies/IMPACT Centre.
- Pearson, K. R., 1988. "Automating the computation of solutions of large economic models," Economic Modelling, Elsevier, vol. 5(4), pages 385-395, October.
When requesting a correction, please mention this item's handle: RePEc:cop:wpaper:ip-55. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mark Horridge)
If references are entirely missing, you can add them using this form.