Title of the lecture
“Power measures and cooperation on communication networks”
This talk focuses on network structures whose main feature is communication. The more general networks reflecting communication are defined by the following rule: if two set of nodes are connected, the common nodes will act as intermediaries in order to establish a connection in the union of these sets, these networks are known in the literature as union stable systems. Particular cases are the well-known communication situations and the permission structures. The main purpose is to present some power measures, in this context, which generalize the degree measure for graphs. Later, we will present some values in these networks, and analyze some of their properties with the aim of distributing payoffs to players which take into account their power or influence in such networks.