Figure 5
From: Public communication can facilitate low-risk coordination under surveillance
Reached nodes and sending phase of the Quorum-Sensing protocol. How the reached nodes participate to the sending phase of the Quorum-Sensing protocol (reached nodes are the gray circles on the left). Similarly to visited nodes (green squares), reached nodes can be either obedient citizens or rebels: for example, on the center, we have two reached nodes which are rebels (dark blue circles) and one which is an obedient citizen (light blue circle). As any other node of the network, a rebel reached node plays the sending phase of the Quorum-Sensing protocol and sends to each of its neighbors (which is a visited node) a value distributed by \(\varepsilon +{\mathcal {N}}(0,1)\), while an obedient citizen reached node sends to each of its neighbors (which is a visited node) a value distributed by \({\mathcal {N}}(0,1)\) (see on the right). Only the rebel visited node will execute the detecting phase of the protocol in order to decide whether to output “many”. Hence, the success probability has to refer to fraction of rebel visited nodes that output “many”, among total rebel visited nodes.
