# Size invariance sector for an agent-based innovation diffusion model

arXiv: https://arxiv.org/abs/1706.03859 · HTML: https://mlsanity.com/paper/1706.03859/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 12 Jun 2017.

## Built on by (most cited first, 1 of 1)

- [Modeling opinion leader's role in the diffusion of innovation](https://mlsanity.com/paper/2101.11260/) (2021)

## Abstract (arXiv)

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.