Deffuant-Weisbuch Opinion Dynamics

Continuous opinion dynamics with bounded confidence: agents only interact when their opinions differ by less than ε. Repeated interactions cause convergence to discrete opinion clusters. Small ε → many clusters; large ε → consensus.

Confidence ε: 0.25

Convergence μ: 0.5

N agents: 200

Update rule: If |x_i − x_j| < ε, then:
x_i ← x_i + μ(x_j − x_i)
x_j ← x_j + μ(x_i − x_j)
Expected clusters ≈ 1/(2ε)