Daniel Gomez Gonzalez's talk

The Analysis of Social Network is a topic that is receiving too much attention in the last decades. I will divide this presentation in two sections. In the first section a new family of Centrality measures, based on game theoretical concepts, is proposed for social networks. To reflect the interests that motivate the interactions among individuals in a network, a cooperative game in characteristic function form is considered. From the graph and the game, the graph-restricted game is obtained. Shapley value in a game is considered as actor's power. In a second stage of the presentation a new family of Cohesiveness measures from subsets of individuals are proposed based on game theory concepts. For both approaches properties are given for the games in order to reach some desirable properties.