一类柯布-道格拉斯改型生产函数的性质

Study on the Properties of a Kind of Changed Cobb-douglas Production Function

将经典的柯布-道格拉斯生产函数进行改型,得到一种生产要素间相互制约的新的生产函数,并对函数进行纯粹数学意义上的推导,得到该函数具有的一些经济性质:1)规模报酬不变;2)两要素间的技术替代率和替代弹性仅与两要素的投入比率有关,而与投入量无关;3)产品对生产要素的分配满足欧拉定理。

The author changed the classical Cobb- Douglas Production Function and got a new production function. The new production function has follow properties：the production function has constant returns to scale ; the marginal rate of technical substitution and the elasticity of substitution are only related to the ratio of the two elements;the production function satisfies the Euler Theorem.