期刊名称：Acta Universitatis Lodziensis. Folia Oeconomica
印刷版ISSN：0208-6018
出版年度：2016
卷号：2016
期号：6
页码：181-202
DOI：10.18778/0208-6018.326.12
语种：Polish
出版社：Lodz University Press
摘要：The aim of the study is to examine the long-run equilibrium of Solow growth mod el with a modified assumption for a rate of employment growth.In the first case,it is assumed that the number of workers changes in the trajectory defined by the logistic function.In the second case,it is assumed that the rate of growth of employment is a decreasing function of labor produc_tivity (so called post-Malthusian growth path). The capital labor ratio and labor productivity with logistic growth path of the number of workers are defined by certain functions composed of hypergeometric function of Gauss.When we consider post-Malthusian growth path of employment,solution of the Solow equation depends on the value of the parameter α (production elasticity with respect to capital) – it may have no,one or two non-trivial steady-states. In performed numerical simulations,we calibrated elasticity of production with respect to capital at a level equal to 0.68216.In all variants of simulated investment rates,the standard,lo gistic and post-Malthusian trajectory of employment,labor productivity grows to a certain asymp tote.Asymptotes of labor productivity for the logistic and post-Malthusian trajectory are located at a similar (slightly higher for logistic trajectory) level.Both are located far higher than the asymp?tote of labor productivity function in the original Solow growth model.
其他摘要：The aim of the study is to examine the long-run equilibrium of Solow growth mod el with a modified assumption for a rate of employment growth.In the first case,it is assumed that the number of workers changes in the trajectory defined by the logistic function.In the second case,it is assumed that the rate of growth of employment is a decreasing function of labor produc_tivity (so called post-Malthusian growth path). The capital labor ratio and labor productivity with logistic growth path of the number of workers are defined by certain functions composed of hypergeometric function of Gauss.When we consider post-Malthusian growth path of employment,solution of the Solow equation depends on the value of the parameter α (production elasticity with respect to capital) – it may have no,one or two non-trivial steady-states. In performed numerical simulations,we calibrated elasticity of production with respect to capital at a level equal to 0.68216.In all variants of simulated investment rates,the standard,lo_gistic and post-Malthusian trajectory of employment,labor productivity grows to a certain asymp?tote.Asymptotes of labor productivity for the logistic and post-Malthusian trajectory are located at a similar (slightly higher for logistic trajectory) level.Both are located far higher than the asymp?tote of labor productivity function in the original Solow growth model.
关键词：growth rate of the number of workers;equilibrium of Solow model
其他关键词：growth rate of the number of workers;equilibrium of Solow model
