两个经济模型中的数学推导问题

On mathematical reasoning of two economic models

某些西方经济学文献在运用数学建模进行论证分析时,由于没有理清一些数学变量关系在经济上的含义,从而造成逻辑混乱或数学工具的错用,并由于其一定的隐蔽性,可能对读者造成相当程度的误导.首先分析国内颇具影响的文献[1]中两个数学模型中的推导问题,一个是关于要素供给模型的构建和推导,另一个是关于一般均衡条件的推导.然后指出文献[2]中一个严重的数学错误,在分析其错误根源的基础上,一并给出了相应的解释和修正.

In some popular document of western economics,there are some confusion in applying mathematical models to analysis some economic phenomena.Because authors have not clarified the economic meaning of some mathematical relationship between variables,it caused confusions in logic and misuse of mathematical tools,which has some invisibility and misleads readers in some degree.The paper analyzes the reasoning of two mathematical models in ／,which is very influential do mestically.One is reasoning of a model of factor supply,and the other is reasoning of general equilibrium conditions.The paper also points out a serious math error in ／.After analyzing the root of the error,the paper gives accurate explanations and amends the models.