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Applied Mathematics and Computation
Volume 9, Issue 4, December 1981, Pages 227-234
 
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doi:10.1016/0096-3003(81)90013-8    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1981 Published by Elsevier Science Inc. All rights reserved.

Local and nonlocal comparative static analysis of economic systems*1

Robert Kalaba, Leigh Tesfatsion and Jone-Lin Wang

Universty of Southern California Los Angeles, California 90007 USA

Available online 22 March 2002.

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Abstract

A complete differential-equation system has been developed for the local and nonlocal comparative static analysis of general parametrized economic systems Ψ(x, α) = 0. The differential equations allow both qualitative and quantitative sensitivity studies at parameter points or over parameter intervals. A Image program Image is now available for the numerical integration of the differential equations. The only input requirements are Ψ(·) and initial conditions. Initialization is rendered routine by a two-stage application of Image . Derivatives are automatically evaluated via a generalized Wengert method, freeing the user from ever having to form analytical derivatives. Image is applied to a problem in optimal economic growth to show the sensitivity of the steady-state capital-labor ratio to changes in the time preference parameter.

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