The dynamic multiplier-accelerator model in economics
"In this work we derive a second-order dynamic equation which describes Samuelson's multiplier-accelerator model on time scales, where the forward jump operator [symbols for sigma] is [symbol for symmetric]-differentiable. For the constant graininess case, a general solution will be derived. Moreover a stability analysis for the hZ case is made. As a next step, we extend this model with the assumption that taxes are raised by the government, and again derive a dynamic equation which represents the model. Then we do the same for the Hicksian extension of the model, and finally for the Hicksian model including foreign trade, i.e., including imports and exports. Moreover criteria are developed, under which all solutions of these second-order dynamic equations oscillate, and when they converge monotonically to the equilibrium value of the national income. Finally we do similar calculations using nable-derivatives, which gives us a second-order dynamic equation, provided that the backward jump operator p is [symbol for divergence]-differentiable"--Abstract, page iii.
Bohner, Martin, 1966-
Gelles, Gregory M.
Mathematics and Statistics
M.S. in Applied Mathematics
Missouri University of Science and Technology
x, 127 pages
© 2008 Julius Heim, All rights reserved.
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Full-text not available: Request this publication directly from Missouri S&T Library or contact your local library.http://merlin.lib.umsystem.edu/record=b6595734~S5
Heim, Julius Severi, "The dynamic multiplier-accelerator model in economics" (2008). Masters Theses. 62.
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