Group Vitality Indices and the Shapley Value

We will start the presentation by showing a link between Vitality Indices and Shapley Value-based induced game-theoretic centralities. It is a foundation of our current research regarding extending vitality indices into groups. We propose novel definitions of Group Vitality Indices and Group Shapley Value that share a similar link. At the end of the presentation, we will extend Degree and Attachment centralities into groups, and present their axiomatizations.