The Shapley value on convex geometries (Q1570819)

A game on a convex geometry is defined as a real-valued function on the family \(L\) of the closed sets of a closure operator which satisfies the finite Minkowski-Krem-Milman property. If \(L\) is the Boolean algebra \(2^N\), this leads to an \(n\)-person cooperative game. The authors obtain two classes of axioms that give rise to a unique Shapley value for games on convex geometries.