The Samuelson Model of the Division of the National Income and its Generalizations

Authors

DOI:

https://doi.org/10.52934/wpz.176

Keywords:

national income, division of national income, Samuelson’s model, acceleration pronciple, difference equation

Abstract

The goal of the paper was an analysis of the division of the national income performer on the base of a model proposed by Samuelson. That model is based on the use of the theory of difference equations. It was shown in the paper that the mentioned model of Samuelson leads to a linear difference equation of the second order, inhomogeneous.

In the presented paper the comprehensive analysis of the behaviour of solutions of the obtained difference equation was conducted. That analysis was performed on the base of an economic interpretation of the behaviour of those solutions.

Moreover, there was considered some generalization of the Samuelson model connected with a concrete economic situation. There was conducted also the analysis of the behaviour of solutions of a difference equation modelling that generalized situation.

References

Agarwal, R. P. (2000). Difference Equations and Inequalities: Theory, Methods and Applications. Marcel Dekker, Inc.

Banaś, J. (2018). Podstawy matematyki dla ekonomistów. Wydawnictwo Naukowe PWN.

Chiang, A. C. (1994). Podstawy ekonomii matematycznej. Państwowe Wydawnictwo Ekonomiczne.

Cull, P., Flahive, M., Robson, R. (2005). Difference Euquations. From Rabbits to Chaos. Undergraduate Texts in Mathematics. Springer.

Elaydi, S. N. (1999). An Introduction to Difference Equations. Springer.

Fulford, G., Forrester, P., Jones, A. (2001). Modelling with Differential and Difference Equations. Cambridge University Press.

Rumak, T. (1972). Równania różnicowe. Wyższa Szkoła Pedagogiczna w Rzeszowie.

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Published

2022-06-30

How to Cite

Banaś, J., & Krajewska, M. (2022). The Samuelson Model of the Division of the National Income and its Generalizations. Contemporary Management Problems, 10(1(20), 85–100. https://doi.org/10.52934/wpz.176

Issue

Vol. 10 No. 1(20) (2022)

Section

Artykuły

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