The Structure of Constant Elasticity Demand Models

The Structure of Constant Elasticity Demand Models
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恒定弹性需求模型的结构

DOI:
10.2307/1241539
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发表时间:
1986
影响因子:
4.2
通讯作者:
J. LaFrance
J. LaFrance
中科院分区:
经济学2区
文献类型:
--
作者:
J. LaFrance

文献摘要

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具有固定价格和收入弹性的需求模型在应用农业经济学中得到了广泛的应用。本文分析了常弹性需求函数不完备系统的结构。它表明,有一个对偶理论的不完全需求系统,是类似于对偶理论的完整系统。这一理论允许收回与感兴趣的商品有关的那部分直接和间接偏好,我们可以计算出这些商品的收入和价格变化的确切福利措施。对于一个不完全的系统的恒定弹性需求,斯卢茨基对称性限制的可积性和隐含的结构的直接和间接的偏好相对于价格和商品的利益。
The demand model with constant price and income elasticities has been used extensively in applied agricultural economics. This paper analyzes the structure of incomplete systems of constant elasticity demand functions. It is demonstrated that there is a duality theory for incomplete demand systems that is analogous to the duality theory for complete systems. This theory permits the recovery of that portion of the direct and indirect preferences pertaining to the goods of interest, and we can calculate exact welfare measures for changes in income and in the prices of these goods. For an incomplete system of constant elasticity demands, the Slutsky symmetry restrictions for integrability are presented and the implied structure of the direct and indirect preferences with respect to the prices and goods of interest is derived.