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Small Income Effects: A Marshallian Theory of Consumer Surplus and Downward Sloping Demandby: Xavier Vives
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AbstractWe 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/\??. 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/\?? and that demand is downward sloping for n large enough.
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