可计算一般均衡求解中多要素CES函数的线性化表达

CES函数的线性化是可计算一般均衡求解过程中不可绕开的问题.在Gohin和Hertel(2003)给出的两要素(n=2)CES函数线性化的基础上,基于成本最小化的一阶条件,推导了两个及两个以上要素(n≥2)情况下CGE函数的线性化过程,进而在替代弹性趋近于1和0的条件下,分别得到了多要素CD函数和Leontief函数的线性化表达.所得到的表达方式更为简洁和一般化,能够提高CGE建模效率.

Linear Expression of CES Functions with Multi-Factors in CGE Solving

Linearizing CES functions is usually a necessary step in solving the Computable General Equilibrium model. In accordance with the linearization method for CES function with two factors proposed by Gohin and Hertel (2003), the author put forward their derivation method for CES functions with two or more factors, and derived the linear expression for the CD function and Leontief function when the substitution elasticity approached to 1 and 0 respectively. These linear expressions were more general and would improve the model-building efficiency of CGE.