In evaluating and benchmarking positions of nodes within networks, several network statistics can be considered. A new benchmark is introduced that can be used to investigate whether or not a node is outperformed by another node regarding the connections to some fixed set W of nodes. Networks...

An alternative perspective to evaluate networks and network evolution is introduced, based on the notion of covering. For a particular node in a network covering captures the idea of being outperformed by another node in terms of, for example, visibility and possibility of information gathering....

In this paper we present a constructive, behavioural and axiomatic approach to the notion of a stable set as a model of the standard of behaviour of a social organisation. The socially stable set we introduce is a generalisation of the von Neumann-Morgenstern stable set. In contrast with the...