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Please be detailed, thanks! 4- (i) Formally define the notion that choice data is consistent with util- ity maximization. (Hint: take inspiration from the definition

Please be detailed, thanks!

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4- (i) Formally define the notion that "choice data is consistent with util- ity maximization". (Hint: take inspiration from the definition of "consistency with preference maximization" ). (ii) Supposing that A is finite, prove that choice data is consistent with utility maximization if and only if it satisfies WARP. (Hint: string together propositions in the lecture notes)

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