In this post, I compute the maximum rate at which an autonomous AI economy could grow, once its production is concentrated in the sectors most important for self-replication. I take the conservative case for this calculation: full automation, but no other technological improvement. Using US input-output data, I find this economy could double in about a year, in line with other estimates that assume full automation (Hanson (2001); Trammell and Korinek (2023); Davidson and Hadshar (2025); Epoch AI (2025)). This holds up even after accounting for resource depletion and construction lags. Some output [...]
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Outline:
(03:45) If labor were free, the economy could grow very fast
(06:50) AGI makes labor approximately free
(12:11) Resource extraction is unlikely to significantly slow growth
(15:13) Construction lags do not prevent rapid growth
(18:27) Consumption does not preclude rapid growth
(20:12) Summary
(22:00) Appendix A: The input-output formulation
(22:05) A.1 The material-balance identity
(24:45) A.2 The balanced-growth path and the Perron eigenvalue
(25:41) A.3 Construction lags
(27:37) A.4 Data sources
(27:42) The intermediate-input matrix
(28:49) The capital-requirements matrix
(31:13) The depreciation matrix
(32:32) Government infrastructure
(33:27) Capacity utilization
(35:44) Robot and compute sectors
(37:59) Appendix B: Von Neumann growth rates are similar across industrial economies
(40:30) Appendix C: Resource extraction
(40:35) C.1 Minerals
(40:50) The grade-cost scaling law
(42:09) Skinners mineralogical barrier
(43:19) Iron
(43:58) Aluminum (bauxite)
(44:41) Copper
(47:50) Nickel
(49:15) Lithium
(49:47) Cobalt
(50:24) Manganese
(50:49) Rare earth elements
(52:11) Platinum group metals
(52:49) Deep-sea mining
(54:01) Summary table
(55:15) C.2 Fossil fuels
(56:17) Oil
(58:30) Natural gas
(01:00:13) Coal
(01:01:28) Summary
(01:02:25) C.3 Electrification
The original text contained 2 footnotes which were omitted from this narration.
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