 Local and Nonlocal Comparative Static Analysis of Economic SystemsRobert E. Kalaba, Leigh Tesfatsion () and J.-L. Wang Staff General Research Papers Archive from Iowa State University, Department of Economics Abstract: 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://www2.econ.iastate.edu/tesfatsi/nasahome.htm Keywords: Comparative statics; solution tracking; ordinary differential equations; parameterized nonlinear systems; optimal growth (search for similar items in EconPapers) Published in Applied Mathematics and Computation 1981, vol. 9, pp. 227-234 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:isu:genres:11220 Access Statistics for this paper More papers in Staff General Research Papers Archive from Iowa State University, Department of Economics Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070. Contact information at EDIRC. |
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