A characterization of the core of convex games through Gateaux derivatives

摘要

We establish a calculus characterization of the core of supermodular games, which reduces the description of the core to the computation of suitable Gateaux derivatives of the Choquet integrals associated with the game. Our result generalizes a classic result of Shapley (Internal. J. Game Theory 1 (1971) 11) to infinite games. As an application, we show that this representation takes a stark form for supermodular measure games.