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在基于CES效用函数和对称性假设下的单要素垄断竞争模型中,生产技术水平不会影响产品多样化程度;而在反正切效用函数和对称性假设下的单要素垄断竞争模型中,技术进步会促进产品多样化程度的提高。与CES效用函数相比,反正切效用函数更符合现实中需求价格弹性递减和存在小于1的情况以及恩格尔定律。也正是需求价格弹性递减才在模型中导出“技术进步促进产品多样化”的结论。可见,从理论应用角度来看,反正切效用函数比CES效用函数更具一般性。
In the single factor monopoly competition model based on CES utility function and symmetry assumption, the level of production technology does not affect the degree of product diversification. However, in the single factor monopolistic competition model under the assumption of arctangent utility and symmetry, the technological progress Will promote the degree of product diversification. Compared with the CES utility function, the arctangent utility function is more in line with the reality that demand elasticity of price elasticity decreases and there is less than 1, and Engel’s law. It is also the price elasticity of demand decline in the model derived “technological advances to promote product diversification ” conclusion. Visible, from the theoretical application point of view, arc tangent utility than the CES utility function more general.