A Model for Innovation Diffusion with Intergroup Suppression

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.

• Publication year

  2018

• Venue

  arXiv.org

• Publication date

  2018-02-25

• Fields of study

  Physics, Computer Science, Economics, Mathematics, Sociology

• Identifiers
  arXiv 1802.08943
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• A multi-class extension of the mean field Bolker–Pacala population model

  2016cited by this paper
• A Mean Field Approximation of the Bolker-Pacala Population Model

  2013cited by this paper
• The structure of online diffusion networks

  2012cited by this paper
• How adoption speed affects the abandonment of cultural tastes

  2009cited by this paper
• Innovation Diffusion in Heterogeneous Populations: Contagion, Social Influence, and Social Learning

  2009cited by this paper
• Who drives divergence? Identity signaling, outgroup dissimilarity, and the abandonment of cultural tastes.

  2008cited by this paper
• Transient Bimodality and Catastrophic Jumps in Innovation Diffusion

  2008cited by this paper
• Where Consumers Diverge from Others: Identity Signaling and Product Domains

  2007cited by this paper
• Freakonomics: A Rogue Economist Explores the Hidden Side of Everything

  2006cited by this paper
• A First Course in Differential Equations

  2005cited by this paper
• A New Product Growth for Model Consumer Durables

  2004cited by this paper
• Spatial Dynamics in Model Plant Communities: What Do We Really Know?

  2003cited by this paper
• A Matter of Taste: How Names, Fashions, and Culture Change.

  2003cited by this paper
• Stochastic evolution of innovation diffusion in heterogeneous groups: study of life cycle patterns

  2001cited by this paper
• Spatial Moment Equations for Plant Competition: Understanding Spatial Strategies and the Advantages of Short Dispersal

  1999cited by this paper
• Models for innovation diffusion

  1985cited by this paper
• An Ecology of Affiliation

  1983cited by this paper
• Continuous time diffusion models with random duration of interest

  1976cited by this paper
• Medical Innovation: A Diffusion Study.

  1967cited by this paper
• Diffusion of innovations

  1964cited by this paper
• Bandwagon, Snob, and Veblen Effects in the Theory of Consumers' Demand

  1950cited by this paper

• No citing papers are available for this paper.