The complete system of ordinary differential equations developed by Kalaba and Tesfatsion (1981) for tracking solution branches of parameterized nonlinear systems is tested using several illustrative examples. One example is the standard Ramsey optimal growth model, for which analytical solutions can be obtained. For this example, the complete system is used to generate solutions c(rho) and k(rho) for the steady-state per-capita levels for consumption and capital as the time preference parameter rho varies from 0 to 0.50. Accuracy to four decimal places is obtained. This represents a stringent test of the method, since the derivative of k(rho) near rho=0 is on the order of -10^2 whereas the derivative of k(rho) near rho=0.50 is on the order of -10^0. Annotated pointers to related work can be accessed here: http://www.econ.iastate.edu/tesfatsi/nasahome.htm
Download Info
To our knowledge, this item is not available for
download. To find whether it is available, there are three
options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page
whether it is in fact available.
3. Perform a search for a similarly titled item that would be
available.
Publisher Info
Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number
11220.
Length: Date of creation: 16 Jan 2004 Date of revision: Publication status: Published in Applied Mathematics and Computation, 1981, Vol. 9, pp. 227-234. Handle: RePEc:isu:genres:11220
Contact details of provider: Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070 Phone: +1 515.294.6741 Fax: +1 515.294.0221 Email: Web page: http://www.econ.iastate.edu More information through EDIRC
For technical questions regarding this item, or to correct its listing, contact: (Stephanie Bridges).
Find related papers by JEL classification: B4 - Schools of Economic Thought and Methodology - - Economic Methodology C0 - Mathematical and Quantitative Methods - - General D0 - Microeconomics - - General
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.)