论超越对数生产函数要素替代弹性的逻辑错误

在运用超越对数生产函数模型进行实证研究的过程中，关于要素替代弹性的分析是重要的环节，必须建立在严谨的数理论证基础上。检索6篇涉及超越对数生产函数要素替代弹性的文献，对其论证过程进行验证，结果发现6篇文献的结论都不符合数理逻辑，进而提出了超越对数生产函数要素替代弹性的合理论证过程，并简要评述了超越对数生产函数要素替代弹性出现逻辑错误的原因、可能产生的不良后果以及防范的方法。

Discussing the Logical Errors with Regard to Substitution Elasticity of Essential Factor about Trans-log Production Function

Using trans-log production function model in empirical research, the analysis on substitution elasticity of essential factor is an important part, must be established on the basis of rigorous mathematical proof. Firstly, this paper retrieve six articles relating to substitution elasticity of essential factor about trans-log production function; secondly, verify the process of argumentation, the results show that all the conclusions from six articles are not consistent with mathematical logic; thirdly, put forward the logical process of argumentation with regard to substitution elasticity of essential factor about trans-log production function; finally, give a brief review on substitution elasticity of essential factor about trans-log production function, including the reasons of logical errors, the possible adverse consequences, as well as prevention methods.