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Equation 14 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

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∑αs≤0.20\sum \alpha_s \le 0.20

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αs\alpha_s

Symbol alpha_s

alphasa_s is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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How to interpret it

The result depends on every term or point included by the summation or integral.

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When applied to the Harvard BCG findings, Acemoglu’s macroeconomic framework reveals why the study’s 40% performance gains cannot be translated linearly into organizational throughput: ∑αs≤0.20\sum \alpha_s \le 0.20. Using rigorous baseline accounting across the United States economy, Acemoglu estimates that generative artificial intelligence will affect no more than 4.6% of total tasks over a ten-year horizon, producing an aggregate TFP increase of less than 0.71% cumulatively over a decade (approximately 0.07% annually) [ 2 ] . The breathless projections of 40% corporate workforce expansion derived from micro-task consulting studies collapse when subjected to rigorous general-equilibrium accounting.

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