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Paper · arXiv

A mathematical theory of evolution for self-designing AIs

As artificial intelligence systems (AIs) become increasingly produced by recursive self-improvement, a form of evolution may emerge, with the traits of AI systems shaped by the success of earlier AIs in designing and propagating their descendants. There is a rich mathematical theory modeling how behavioral traits are shaped by biological evolution, a key component of which is Fisher's fundamental theorem of natural selection, which describes conditions under which mean fitness (i.e. reproductive success) increases. AI evolution will be radically different to biological evolution: while DNA mutations are random and approximately reversible, AI self-design will be strongly directed. Here we...

AuthorsKenneth D Harris
Primary categorycs.AI
Published6 April 2026
Last updated at source11 April 2026
cs.AIcs.CYq-bio.PE
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