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Equation 8 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

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y(s)y(s)

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yy

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ss

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where each task y(s) can be performed by labor or by an automated system if that task falls within the feasible automated set A\mathcal{A} . Under Hulten’s theorem, the first-order aggregate TFP cost savings from automating a subset of tasks is bounded by the expenditure share of the automated tasks multiplied by the average unit cost reduction:

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