Roman G. Smirnov, Kunpeng Wang
arXiv 7 Nov 2017 · math.GR · publishedEuropean Journal of Applied Mathematics (2019) · 30 citations (OpenAlex)
arXiv:1711.02625 · PDF · DOI · OpenAlex · Extracted main text
In this paper we extend the work by Ryuzo 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. It is employed to derive new production functions and introduce a new 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 maximization 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 post-1960 data.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | R. Sato, Theory of Technical Change and Economic Invariance, Academi… (1981) | 1.000 | 18 | 6 | 100% |
| 2 | M. Ferrara and L. Guerrini, The Ramsey model with logistic populatio… (2009) pp | 1.000 | 5 | 4 | 100% |
| 3 | A. L. Bowley, Wages in the United Kingdom in the Nineteenth Century:… (1900) | 1.000 | 5 | 3 | 100% |
| 4 | A. L. Bowley, Wages and Income in the United Kingdom Since (1937) | 1.000 | 5 | 3 | 100% |
| 5 | C. W. Cobb and P. H. Douglas, A theory of production, American Econo… (1928) pp | 1.000 | 5 | 3 | 100% |
| 6 | M. Ferrara and L. Guerrini, Economic development and sustainability… (2008) pp | 0.928 | 4 | 4 | 100% |
| 7 | M. Ferrara and L. Guerrini, Economic development and sustainability… (2008) pp | 0.928 | 4 | 4 | 100% |
| 8 | M. Ferrara and L. Guerrini, The neoclassical model of Solow and Swan… (2008) pp | 0.928 | 4 | 4 | 100% |
| 9 | M. Ferrara and L. Guerrini, The Green Solow model with logistic popu… (2009) pp | 0.928 | 4 | 4 | 100% |
| 10 | M. Ferrara and L. Guerrini, The Ramsey model with logistic populatio… (2009) pp | 0.928 | 4 | 4 | 100% |
Showing the top 10 of 81 scored citations.