It is also scalable because it is run in polylogarithmic time and nodes must send and receive polylogarithmic size messages only per turn. To our knowledge, our algorithm is the first scalable solution to choose the Byzantine guide in a dynamic network with a high rate of emigration; Our protocol can also be used to resolve Byzantine agreements in a simple way. We also show how to implement a public coin (almost everywhere) with constant distortion in a dynamic network with Byzantine nodes and provide a mechanism for honest nodes to reliably store information on the network that might be of independent interest. We offer a fast algorithm that can tolerate O(s)) nodes that move in turn against the harder adaptive opponent. We introduce a rigorous framework for modeling the exodus in a dynamic distributed network. We show that deterministic concordance algorithms can only tolerate exodus in no time. We offer a fast algorithm to reach an agreement, even for Εn nodes that migrate at the time rate. Motivated by the need for robust and fast distributed computing on highly dynamic peer-to-peer (P2P) networks, we present the first well-known, fully distributed algorithms to solve the fundamental problem of distributed tuning in dynamic networks that experience a strong node leakage (i.e., nodes continuously join and leave the network over time). Our algorithms ensure stable matching almost everywhere, even in the event of very contradictory leakage and lifetime that are polylogarithmic in n (which is the stable size of the network).