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Group Vitality Indices and the Shapley Value

Speaker(s)
Natalia Kucharczuk
Affiliation
University of Warsaw
Date
May 18, 2023, 12:15 p.m.
Room
room 4050
Seminar
Seminar Games, Mechanisms, and Social Networks

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.