Data Cost Games as an Application of 1-Concavity in Cooperative Game Theory

摘要: The main goal is to reveal the 1-concavity property for a subclass of cost games called data games. motivation study appealing theoretical results both core and nucleolus, in particular their geometrical characterization as well additivity property. characteristic function original game assigns every coalition additive reproducing does not own. underlying sharing situation composed three components, namely, player set, collection sets individuals, on whole set. proof direct, but robust suitable generalization function. As an adjunct, shown so-called “bicycle” games, inclusive which individual are nested decreasing order.