Centrality measures play an important role in the field of network analysis. In the particular case of social networks, the flow represents the way in which information passes through the network nodes. Freeman et al. (1991) were the first authors to relate centrality measures to network flow...

A symmetric network consists of a set of positions and a set of bilateral links between these positions. Examples of such networks are exchange networks, communication networks, disease transmission networks, control networks etc. For every symmetric network we define a cooperative transferable...

In this paper we consider a proper Shapley value (the V L value) for cooperative network games. This value turns out to have a nice interpretation. We compute the V L value for various kinds of networks and relate this value to optimal strategies in an associated matrix game