Math rebuttal to "AI is winner-take-all": relative advantage diverges at capability singularity

thomasahle · x · 2026-11-12

@tszzl argued the AI market is winner-take-all, noting Anthropic's existence doesn't disprove it — the only way it holds is if you plan "pivotal acts" against all other efforts.

@thomasahle countered with math: if capabilities f(t) are singular at time T, the relative advantage f(t)/f(t-1) goes to infinity as t approaches T — implying late movers' relative growth advantage explodes rather than the market converging on one winner.

Related event: tszzl Rebuts "AI Winner-Takes-All": Anthropic's Existence Proves Otherwise(4 posts)→

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