Deffuant Bounded Confidence Model
Opinion dynamics: convergence, polarization, and cluster formation
Parameters
Confidence bound ε:
0.25
Convergence μ:
0.50
Agents N:
120
Noise σ:
0.00
Reset
Step ×100
Steps:
0
Clusters:
—
Expected clusters:
—
Deffuant model (2000):
At each step, select two random agents i,j. If |x_i − x_j| ≤ ε:
x_i ← x_i + μ(x_j−x_i)
x_j ← x_j + μ(x_i−x_j)
Expected clusters ≈ 1/(2ε)
Consensus if ε ≥ 0.5
Polarization (2 clusters) if 0.25 ≤ ε < 0.5
Fragmentation if ε < 0.25
Connected to
Hegselmann-Krause
model (simultaneous vs. sequential).