Deffuant Bounded-Confidence Opinion Dynamics

Agents converge only if their opinions are within tolerance ε
100
0.20
0.30
20
Deffuant model (2000): N agents each hold opinion xᵢ ∈ [0,1]. At each step, two random agents i,j meet. If |xᵢ−xⱼ| < ε, they both move toward each other: xᵢ ← xᵢ + μ(xⱼ−xᵢ), xⱼ ← xⱼ + μ(xᵢ−xⱼ). Otherwise nothing happens. Expected clusters ≈ 1/(2ε). Watch echo chambers form.