Local interaction scale controls the existence of a nontrivial optimal critical mass in opinion spreading.

@article{Wu2010LocalIS,
  title={Local interaction scale controls the existence of a nontrivial optimal critical mass in opinion spreading.},
  author={Zhi-Xi Wu and Petter Holme},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={82 2 Pt 1},
  pages={
          022102
        }
}
  • Zhi-Xi Wu, P. Holme
  • Published 3 May 2010
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We study a model of opinion formation where the collective decision of a group is said to happen if the fraction of agents having the most common opinion exceeds a threshold value, a critical mass. We find that there exists a unique nontrivial critical mass giving the most efficient convergence to consensus. In addition, we observe that for small critical masses, the characteristic time scale for the relaxation to consensus splits into two. The shorter time scale corresponds to a direct… 
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