DeGroot Social Learning
Belief convergence via repeated weighted averaging — wisdom vs foolishness of crowds
Network Structure
Topology:
Cycle
Star
Chain
Complete
Random
Agents N:
8
Self-weight w:
0.5
Truth (hidden):
0.6
Rebuild
Step
Run to Convergence
Consensus
Rounds
0
Consensus belief
—
Truth
—
Error
—
Wisdom?
—
Wise crowds converge to truth. Foolish crowds converge to influencer's bias. Depends on network eigenvector.