Solow Model, economic growth, GDP per capita, productivity, capital stock, demographic growth, human capital, Cobb-Douglas function, neo-classical production function
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Abstract
The Solow model examines the sources of economic growth, using a neo-classical production function to analyze the impact of capital stock, productivity, and demographic growth on GDP per capita.
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[...] The constraint on coefficients allows for conditioning the accounting of economic growth according to contributions: savings, demographic growth, and finally, human capital as an explanation for the evolution of productivity. Graph A allows for controlling the effect of savings, demographics, and human capital - growth decreases as the economy enriches the agents residing there. The graphs represent real GDP per individual in logarithm against real growth, allowing for an interpretation in terms of elasticity: a enrichment of individuals is linked to an estimated decline of 0.3 to 0.4 percentage points of real growth per capita, after controlling for demographic growth, technological progress, and human capital. [...]
[...] To begin with, Mankiw & al. propose a more developed specification than that of Solow. In fact, they decide to regress output per head on saving, demographic growth, capital depreciation, and a deterministic trend in productivity. In other words, the base specification is written as follows: The expression is obtained from the capital stock per head. In fact, we know that: ,The combination of the two data: The transformation into logarithms allows for the interpretation of percentage variations. The regressions are carried out by country groups: non-oil producers, intermediate-income countries, and finally OECD countries in 1985. [...]
[...] The Solow Model Study of texts on the Solow Model *Documents available on demand from the customer service. In seeking to identify the sources of economic growth, Solow arrives at the counterintuitive conclusion that investment is not necessarily the primary driver. Before describing these conclusions, it is first necessary to describe what Solow means by growth - in this case, it is a durable improvement in the standard of living per individual, measured by the stock of physical capital per capita (per head). [...]
[...] The second version imposes similar coefficients for savings and the component, namely: The fact of constraining certain coefficients in both versions of the regression allows for two tests: the first is to check if = ?3. A Student's t-test allows for this verification, using the estimated coefficients, as well as their respective standard errors. In the second version, The imposed constraint reduces the model's ability to explain differences in income levels per capita: when the coefficients and are constrained to be equal to the R2 of the regression decreases from 60% to 28%. Mankiw et al conclude that these results allow for new avenues of explanation for growth and its sources - notably human capital. [...]
[...] Article by Mankiw, Romer & Weil The authors transpose the Solow model in order to test the determinants of economic growth in a more exhaustive way. They adopt a different approach in terms of accounting for the sources of economic growth. Their results are nuanced compared to those of Solow, presented forty years earlier: if Mankiw & al. agree with Solow's initial prediction, particularly in terms of the influence of demographic growth and saving (and therefore investment and capital accumulation). [...]
