Size invariance sector for an agent-based innovation diffusion model

June 12, 2017 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Carlos E. Laciana, Gustavo Pereyra, Santiago L. Rovere arXiv ID 1706.03859 Category physics.soc-ph Cross-listed cs.CY, cs.SI Citations 1 Venue arXiv.org Last Checked 4 months ago
Abstract
It is shown that under certain conditions it is possible to model a complex system in a way that leads to results that do not depend on system size. As an example of complex system an innovation diffusion model is considered. In that model a set of individuals (the agents), which are interconnected, must decide if adopt or not an innovation. The agents are connected in a member of the networks family known as small worlds networks (SWN). It is found that for a subfamily of the SWN the saturation time and the form of the adoption curve are invariants respect to the change in the size of the system.
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