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Contagion on complex networks with persuasion.

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Introducing persuasion into social network contagion models increases vulnerability to global cascades. Network structure significantly impacts persuasion effects, with homogeneous networks showing more stability under strong persuasion.

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Area of Science:

  • Network Science
  • Social Dynamics
  • Computational Social Science

Background:

  • The threshold model is a foundational framework for understanding contagion on social networks.
  • Previous models often assumed symmetric interactions, limiting their applicability to real-world social dynamics.
  • Contagion processes, such as information diffusion or behavior adoption, are crucial in complex networks.

Purpose of the Study:

  • To investigate the impact of asymmetric interactions and a persuasion mechanism on contagion dynamics within the threshold model.
  • To analyze how network heterogeneity (homogeneous vs. heterogeneous) influences the effectiveness of persuasion and system stability.
  • To examine the distinct roles of adoption and persuasion threshold heterogeneity in driving systemic instability.

Main Methods:

  • Extension of the classic threshold model to incorporate asymmetric interactions and a persuasion mechanism.
  • Simulation studies on complex network structures (both homogeneous and heterogeneous).
  • Comparative analysis of network robustness and stability under varying levels of persuasion and threshold heterogeneity.

Main Results:

  • The introduction of persuasion can increase the likelihood of global cascades in social networks.
  • Persuasion effects are more pronounced in heterogeneous networks compared to homogeneous ones.
  • Under weak persuasion, heterogeneous networks are more robust; under strong persuasion, homogeneous networks are more stable.
  • Adoption threshold heterogeneity has a greater impact on systemic stability than persuasion heterogeneity in dense networks.

Conclusions:

  • Asymmetric interactions and persuasion introduce new dynamics into contagion processes, potentially increasing systemic vulnerability.
  • Network topology plays a critical role in modulating the effects of persuasion, with implications for targeted interventions.
  • Understanding threshold heterogeneity is key to predicting and mitigating large-scale cascading failures in social systems.