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Paper · arXiv

A Theory of Training Profit-Optimal LLMs

Scaling LLMs requires tremendous computational resources, and recent advances in AI have gone hand in hand with massive amounts of capital expenditure. While it is established that scaling up LLMs reliably increases model quality (quantified in terms of loss or downstream evaluations), it is unclear how these quality improvements translate to potential revenue, and whether revenue increases would offset costs of larger-scale training and inference. In this work, we develop an economic model for characterizing the rational behavior of an LLM training firm by combining scaling laws with microeconomic theory. Under our model of firm behavior, LLM quality can be increased with more parameters...

AuthorsSophie Hao, William Merrill
Primary categorycs.LG
Published14 May 2026
Last updated at source11 June 2026
cs.LGcs.AI
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