Voter Model — Opinion Dynamics

Each node adopts a random neighbor's opinion. Consensus is guaranteed on finite graphs.

Parameters

Voter model rule:
Pick random node i
Pick random neighbor j
Set opinion(i) ← opinion(j)
Consensus time ~ N² (complete graph)

Statistics

Step0
Opinion A fraction
Opinion B fraction
Active interfaces
Consensus reachedNo

Controls

Coarsening on lattice ~ t^(1/2)
On networks: depends on topology
Scale-free: slow consensus
Complete graph: fastest