Hegselmann-Krause Opinion Dynamics
Bounded confidence model — consensus, polarization, and fragmentation
Controls
Agents N
80
Confidence ε
0.20
Noise η
0.010
Init. dist.
Uniform
Bimodal
Trimodal
Normal
Reset
Step×10
Step:
0
Clusters:
—
Convergence:
—
HK Rule: x_i(t+1) = mean{x_j: |x_j-x_i|≤ε}
ε<0.1: fragmentation
ε≈0.2: polarization
ε>0.4: consensus
Opinion Trajectory (spacetime)
Opinion Distribution + Cluster Visualization