More rigorous results on the Kauffman–Levin model of evolution
Vlada Limic and Robin Pemantle
Source: Ann. Probab.
Volume 32, Number 3
(2004), 2149-2178.
Abstract
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.
Primary Subjects: 92D15, 60G60
Keywords: Fitness; local maxima; genetics; spin-glass
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aop/1089808422
Digital Object Identifier: doi:10.1214/009117904000000081
Mathematical Reviews number (MathSciNet):
MR2073188
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