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Threshold Cascade Dynamics in Coevolving Networks.

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Summary
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Network plasticity suppresses social contagion cascades by altering network structures. Coevolutionary dynamics show that rewiring links hinders the spread of new ideas, impacting cascade sizes.

Keywords:
coevolutionlink rewiringthreshold cascades

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Area of Science:

  • Social network analysis
  • Complex systems science
  • Computational social science

Background:

  • Social contagion, such as the spread of opinions or innovations, is influenced by network structure.
  • Understanding how network topology and contagion dynamics coevolve is crucial for complex systems.
  • Threshold models explain how individual adoption decisions aggregate into macroscopic cascades.

Purpose of the Study:

  • To investigate the coevolutionary dynamics between network topology and social complex contagion.
  • To analyze the impact of network plasticity on cascade dynamics using a threshold model.
  • To determine how link rewiring affects the spread of minority states.

Main Methods:

  • Developed a coevolving threshold model incorporating both contagion spread and network plasticity (link rewiring).
  • Employed numerical simulations to explore model behavior under varying parameters.
  • Utilized mean-field theoretical analysis for analytical insights into cascade dynamics.

Main Results:

  • Network plasticity significantly alters cascade dynamics, generally suppressing global cascades.
  • Increasing network plasticity shrinks the parameter domain (threshold, mean degree) for global cascades.
  • Non-adopting nodes form denser connections, leading to wider degree distributions and non-monotonous cascade sizes.

Conclusions:

  • Coevolutionary dynamics, particularly network plasticity, play a critical role in modulating social contagion.
  • Link rewiring acts as a mechanism to dampen widespread adoption of new states.
  • The interplay between network structure evolution and contagion spread leads to complex emergent behaviors.