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Complex contagions with timers.

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Introducing timers into social influence models reveals that heterogeneous response times alter adoption paths and spread dynamics. This finding impacts understanding how behaviors and ideas propagate through networks.

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Area of Science:

  • Network Science
  • Sociology
  • Computational Social Science

Background:

  • Social influence models often assume instantaneous neighbor interactions.
  • Real-world social contexts exhibit varied agent response times, impacting influence spread.

Purpose of the Study:

  • To introduce and analyze the effect of timers in threshold models of social influence.
  • To investigate how heterogeneous response times alter adoption orders and spread dynamics on networks.

Main Methods:

  • Incorporated timers into threshold models to simulate delayed adoptions.
  • Modified a pair approximation for the Watts threshold model to derive analytical results.
  • Validated findings through numerical simulations on various network structures, including empirical data.

Main Results:

  • Homogeneously distributed timers maintain the original adoption order.
  • Heterogeneously distributed timers can change adoption orders and spread paths.
  • Timer heterogeneity can accelerate or decelerate adoption spread compared to homogeneous timers.

Conclusions:

  • Heterogeneous timers significantly alter social influence spread dynamics on networks.
  • Network structure and timer distribution are key factors influencing spread acceleration or deceleration.
  • The developed timer model provides a more realistic approach to social influence modeling.