A Model for Innovation Diffusion with Intergroup Suppression

TL;DR

This paper introduces a new model for innovation diffusion that accounts for intergroup suppression and migration, analyzing equilibrium and stability, and validating with real-world tablet usage data across countries.

Contribution

The paper develops a novel diffusion model incorporating intergroup suppression and migration, with stability analysis and empirical validation using tablet usage data.

Findings

Model predicts adoption patterns considering intergroup suppression.

Stability analysis identifies conditions for equilibrium.

Empirical data supports the model's applicability.

Abstract

We present a new model for the diffusion of innovation. Here, the population is segmented into distinct groups. Adoption by a particular group of some cultural product may be inhibited both by large numbers of its own members already having adopted but also, in particular, by members of another group having adopted. Intergroup migration is also permitted. We determine the equilibrium points and carry out stability analysis for the model for a two-group population. We also simulate a discrete time version of the model. Lastly, we present data on tablet use in eight countries from 2012-2016 and show that the relationship between use in the "under 25" age group and "55+" age group conforms to the model.