In search of a new economic model determined by logistic growth

Author:

SMIRNOV R. G.,WANG K.

Abstract

In this paper, we extend the work by Sato devoted to the development of economic growth models within the framework of the Lie group theory. We propose a new growth model based on the assumption of logistic growth in factors and derive the corresponding production functions, as well as a compatible notion of wage share. In the process, it is shown that the new functions compare reasonably well against relevant economic data. The corresponding problem of maximisation of profit under conditions of perfect competition is solved with the aid of one of these functions. In addition, it is explained in reasonably rigorous mathematical terms why Bowley’s law no longer holds true in the post-1960 data.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference82 articles.

1. [80] This article uses material from U.S. Bureau of Labor Statistics, Nonfarm Business Sector: Non-Labor Payments [PRS85006083], Retrieved from FRED, Federal Reserve Bank of St. Louis; https://fred.stlouisfed.org/series/PRS85006083, October 30, 2017.

2. [79] This article uses material from the Wikipedia article Petroleum industry, which is released under the Creative Commons Attribution-Share-Alike License 3.0.

3. [78] This article usesmaterial from the Wikipedia article Gold reserve, which is released under the Creative Commons Attribution-Share-Alike License 3.0.

4. Recherches mathématiques sur la loi d’accroissement de la population;Verhurst;Nouveaux Mémoires de l’Académie Royale des Sciences et Belles Lettres de Bruxelles,1845

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