English

Size invariance sector for an agent-based innovation diffusion model

Physics and Society 2017-07-28 v3 Computers and Society Social and Information Networks

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.

Keywords

Cite

@article{arxiv.1706.03859,
  title  = {Size invariance sector for an agent-based innovation diffusion model},
  author = {Carlos E. Laciana and Gustavo Pereyra and Santiago L. Rovere},
  journal= {arXiv preprint arXiv:1706.03859},
  year   = {2017}
}

Comments

10 pages

R2 v1 2026-06-22T20:16:54.645Z