English

Phase Transition in Democratic Opinion Dynamics

Data Structures and Algorithms 2019-05-01 v1 Discrete Mathematics Dynamical Systems

Abstract

Consider a community where initially, each individual is positive or negative regarding a reform proposal. In each round, individuals gather randomly in fixed rooms of different sizes, and all individuals in a room agree on the majority opinion in the room (with ties broken in favor of the negative opinion). The Galam model---introduced in statistical physics, specifically sociophysics---approximates this basic random process. We approach the model from a more mathematical perspective and study the threshold behavior and the consensus time of the model.

Keywords

Cite

@article{arxiv.1904.13309,
  title  = {Phase Transition in Democratic Opinion Dynamics},
  author = {Bernd Gärtner and Ahad N. Zehmakan},
  journal= {arXiv preprint arXiv:1904.13309},
  year   = {2019}
}
R2 v1 2026-06-23T08:53:30.721Z