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cs.GT2024
A Generalised -Core Concept for Normal Form Games
Subhadip Chakrabarti, Robert P Gilles, Lina Mallozzi
In this note we develop a generalisation of the -Core solution for non-cooperative games in normal form. We show that this generalised -Core is non-empty for the class of sep…
cs.GT2023
Game theoretic foundations of the Gately power measure for directed networks
Robert P. Gilles, Lina Mallozzi
We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing contr…
cs.GT2021
Emergent Collaboration in Social Purpose Games
Robert P. Gilles, Lina Mallozzi, Roberta Messalli
We study a class of non-cooperative aggregative games -- denoted as \emph{social purpose games} -- in which the payoffs depend separately on a player's own strategy (individual ben…