Fig 3. Marginal information conveyed in messages received by nodes over time (x-axis) as a function of their degree (y-axis).
Row 1: global communication, unconstrained. Row 2: global communication, constrained. Row 3: local communication, unconstrained. Row 4: local communication, constrained. Messages in global communication are considerably more informative. The difference is especially significant in ER-Sparse networks, explaining the rather dramatic advantage of global communication in such settings. Global communication also promotes information equity: lower-degree nodes often obtain considerable information through messages, compensating for lower visibility in the network.