Small Income Effects: A Marshallian Theory of Consumer Surplus and Downward Sloping Demand
Small Income Effects: A Marshallian Theory of Consumer Surplus and Downward Sloping Demand
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小收入效应：消费者剩余和需求下降的马歇尔理论
DOI：
10.2307/2297448
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发表时间：
1987
期刊：
影响因子：
--
通讯作者：
X. Vives
中科院分区：
文献类型：
--
作者：
X. Vives
我们正式马歇尔的想法，当收入的比例花在任何商品是小的，那么收入的影响是小的。如果n是商品的数量，我们证明，在一定的偏好和价格假设下，需求的收入导数的范数的数量级是1/n。作为一个推论，我们得到，对于单一价格变化的情况，在近似希克斯无谓损失的百分比误差由其马歇尔的对应物至少在1/n n的比率为零，并且需求是向下倾斜的足够大的n。
We formalize the Marshallian idea that when the proportion of income spent on any commodity is small then the income effects are small. If n is the number of goods, we show, under certain assumptions on preferences and prices, that the order of magnitude of the norm of the income derivative of demand is 1/√n. As a corollary we get that for the case of a single price change the percentage error in approximating the Hicksian Deadweight Loss by its Marshallian counterpart goes to zero at least at the rate 1/√n and that demand is downward sloping for n large enough.