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Show that in the case of three goods, whatever the utility function of the consumer, at least one of goods 2 and 3 is a

Show that in the case of three goods, whatever the utility function of the consumer, at

least one of goods 2 and 3 is a Hicksian substitute for good 1. [You may assume that

Hicksian demands are differentiable in prices and that dh1/dp1

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