Collective Memory — Social Imitation & Cascade
How shared beliefs form and cascade through social networks via threshold dynamics
Network & Dynamics
Agents N =
200
Connectivity k =
6
Threshold φ =
0.25
Memory decay δ =
0.05
Seed fraction =
0.05
Reset Network
Seed & Run Cascade
Step
State
Adopted
0
Cascade size
0%
Step
0
Active front
0
Watts (2002) cascade model:
Agent i adopts if k_i^+(t)/k_i ≥ φ_i
(fraction of neighbors adopted ≥ threshold)
Memory: m_i += Σ_j a_ij s_j − δ m_i
Cascade = global avalanche in Granovetter model