Annals of Probability

More rigorous results on the Kauffman–Levin model of evolution

Vlada Limic and Robin Pemantle

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The purpose of this note is to provide proofs for some facts about the NK model of evolution proposed by Kauffman and Levin. In the case of normally distributed fitness summands, some of these facts have been previously conjectured and heuristics given. In particular, we provide rigorous asymptotic estimates for the number of local fitness maxima in the case when K is unbounded. We also examine the role of the individual fitness distribution and find the model to be quite robust with respect to this.

Article information

Ann. Probab., Volume 32, Number 3 (2004), 2149-2178.

First available in Project Euclid: 14 July 2004

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Zentralblatt MATH identifier

Primary: 92D15: Problems related to evolution 60G60: Random fields

Fitness local maxima genetics spin-glass


Limic, Vlada; Pemantle, Robin. More rigorous results on the Kauffman–Levin model of evolution. Ann. Probab. 32 (2004), no. 3, 2149--2178. doi:10.1214/009117904000000081.

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