Efficiency and persistence in models of adaptation
R. D'Hulst and
G.J. Rodgers
Physica A: Statistical Mechanics and its Applications, 2003, vol. 324, issue 1, 323-329
Abstract:
A cut-and-paste model which mimics a trial-and-error process of adaptation is introduced and solved. The model, which can be thought of as a diffusion process with memory, is characterized by two properties, efficiency and persistence. We establish a link between these properties and determine two transitions for each property, a percolation transition and a depinning transition. If the adaptation process is iterated, the antipersistent state becomes an attractor of the dynamics. Extensions to higher dimensions are briefly discussed.
Keywords: Adaptation; Collective behaviour; Percolation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:324:y:2003:i:1:p:323-329
DOI: 10.1016/S0378-4371(02)01847-2
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