The dynamic multiplier-accelerator model in economics

Author

Julius Severi Heim

Abstract

"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.

Advisor(s)

Bohner, Martin, 1966-

Committee Member(s)

Akin, Elvan
Gelles, Gregory M.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Applied Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Summer 2008

Pagination

x, 127 pages

Rights

© 2008 Julius Heim, All rights reserved.

Document Type

Thesis - Citation

File Type

text

Language

English

Subject Headings

Multiplier (Economics)Time-series analysis

Thesis Number

T 9405

Print OCLC #

298124555

Recommended Citation

Heim, Julius Severi, "The dynamic multiplier-accelerator model in economics" (2008). Masters Theses. 62.
https://scholarsmine.mst.edu/masters_theses/62