四因素经济增长方程的推导及应用

Derivation and Application of A Four-factor Economic Growth Equation

利用产出、投入和生产率之间的一般关系式,导出了全要素投入量函数和全要素生产率函数的表达式。在此基础上,得到了全要素投入量增长率和全要素生产率增长率的分解式,运用这两个分解式,建立了四因素经济增长方程。研究了方程的几种应用:(1)经济增长的四因素分析技术;(2)分配对增长方式影响的数理分析;(3)经济效率增长与经济效益增长关系的数理分析。最后,就有关问题进行了讨论。

The total factor input function and total factor productivity function are derived from general approach to output, input and productivity. Based on these functions, the decomposition formulas of the growth rates of tatal factor input and tatal factor productivity are obtained, with which a four-factor equation of economic growth is established. Some applications of the equation are as following ： （ 1 ） four-factor analysis technique of economic growth; （2） mathematical analysis of distribution on economic growth; （3） mathematical analysis of the relation between economic efficiency growth and economic benefit growth. At last, some problems concerned are discussed.