Percolation and depinning transitions in cut-and-paste models of adaptation

R. D'Hulst and G.J. Rodgers

Physica A: Statistical Mechanics and its Applications, 2002, vol. 308, issue 1, 443-459

Abstract: We show that a cut-and-paste model to mimic a trial-and-error process of adaptation displays two pairs of percolation and depinning transitions, one for persistence and the other for efficiency. The percolation transition signals the onset of a property and the depinning transition, the growth of the same property. Despite its simplicity, the cut-and-paste model is qualitatively the same as the Minority Game. A majority cut-and-paste model is also introduced, to mimic the spread of a trend. When both models are iterated, the majority model reaches a frozen state while the minority model converges towards an alternate state. We show that a transition from the frozen to the alternate state occurs in the limit of a non-adaptive system.

Keywords: Adaptation; Collective behaviour; Percolation (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:308:y:2002:i:1:p:443-459

DOI: 10.1016/S0378-4371(02)00555-1

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