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arXiv · 1812.05912

Expected Emergence of Algorithmic Information from a Lower Bound for Stationary Prevalence

Felipe S. Abrahão·Klaus Wehmuth·Artur Ziviani
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Abstract

We study emergent information in populations of randomly generated networked computable systems that follow a Susceptible-Infected-Susceptible contagion (or infection) model of imitation of the fittest neighbor. These networks have a scale-free degree distribution in the form of a power-law following the Barab\'{a}si-Albert model. We show that there is a lower bound for the stationary prevalence (or average density of infected nodes) that triggers an unlimited increase of the expected emergent algorithmic complexity (or information) of a node as the population size grows.

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Felipe S. Abrahão, Klaus Wehmuth, Artur Ziviani. 2018-12-13. Expected Emergence of Algorithmic Information from a Lower Bound for Stationary Prevalence. https://doi.org/10.5281/zenodo.1241237

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