Abstract

The microlevel dynamics of the age-limited production capacities differentiated by the moments of creation set the macrolevel production function. The microdescription is based on the hypothesis of the capacity loss at a constant rate and constant number of jobs from the moment of the creation of the production unit to its closure, when the age limit is exceeded. An analytical expression for the endogenous production function with the given maximum age of the capacities is obtained in characteristic exponential growth modes with the constant share of new capacities. A transient growth mode with varying incremental capital intensity of new capacities is considered. The production function’s parameters can be determined even with significant variations of the new capacity’s share in the total capacity, which occurred in the Russian economy. For this purpose, the initial microeconomic model of the production capacity’s dynamics is used in the numerical calculations of the production function. The parameters are estimated indirectly based on a comparison of the results of the calculations by the model with the statistical data over 1970–2017. The obtained value of the average age limit of capacities A = 25 for the Russian economy explains the vanishing of cost inflation in 2017. The identification of the endogenous production function parameters also show that the value of the average incremental capital intensity for the entire Russian economy decreased significantly from 1970 to 2017. The decrease is explained by the increase in the share of the primary industry in the output.

中文翻译：

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确定具有生产能力年龄限制的生产功能

摘要

随生产时间的不同而不同的有年龄限制的生产能力的微观水平决定了宏观水平的生产功能。微观描述基于以下假设：从生产单位创建到关闭生产单位（超过年龄限制）时，产能损失恒定且工作数量不变。在特征指数增长模式下，具有恒定的新容量份额，可以获得具有给定最大容量寿命的内生生产函数的解析表达式。考虑具有新产能增量资本强度变化的过渡增长模式。即使在俄罗斯经济中新产能占总产能的份额发生重大变化的情况下，也可以确定生产函数的参数。为此，在生产函数的数值计算中使用了生产能力动力学的初始微观经济模型。根据模型对计算结果与1970-2017年统计数据的比较，间接估算参数。获得的平均年龄极限值俄罗斯经济的A = 25解释了2017年成本通胀的消失。对内生生产函数参数的识别还表明，整个俄罗斯经济的平均增量资本强度值在1970年至2017年期间显着下降。第一产业在产出中所占份额的增加解释了这一点。