Temporal Dynamics of Support and Attack Networks: From Argumentation to Zoology

This is the first of a new series of papers on the temporal dynamics of Support and Attack networks. These are graphs with a basic situation described in Figure 5 below. We have nodes a 1,…,a n connected by arrows to a node b. The nodes have some values attached to them and these values are transmitted by the arrows, and revise the value at b. This series of papers studies the temporal dynamics of such networks. The topic, in this generality, has emerged from our previous research into argumentation frameworks (Gabbay and Woods [14,13,10,12] and Woods [21]). Our starting point is therefore a generalisation of abstract argumentation networks.