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有关总量生产函数的批评很多,最直接的批评来自于从微观生产函数到总量生产函数的可加总条件不满足。本文采用几何直观的方法显示了资本加总条件的含义,明确了不满足严格的可加总条件并不必然使得总量生产函数失去意义,不满足条件只不过使得“硬性”加总后的总量生产函数出现一定程度的模糊性,而这种模糊性无论如何都会存在,其来源远远不止加总条件的不满足。在此基础上,本文阐述了Hicks加总、函数可分性加总等各种加总方法的内在逻辑联系,并通过几何方法显示了在满足可准确加总条件时,Divisia指数是一种比定基指数更为优越的方法。
There are many criticisms of the aggregate production function. The most direct criticism comes from the unsatisfying aggregateable conditions from the micro-production function to the aggregate production function. In this paper, we use the geometric intuitionistic method to show the meaning of the capital summation condition. It is clear that the condition that the strict additive summation does not necessarily make the total production function lose its meaning, and the unsatisfied condition only makes the summation of “rigidness” The total production function appears a certain degree of ambiguity, and this ambiguity will exist anyway, its source far more than the aggregate conditions are not satisfied. On this basis, this article expatiates on the inherent logical connection of various summing methods such as Hicks summing, function summing up and summing up, and shows by geometric means that the Divisia index is a ratio A more superior method of setting the base index.