The Core of Games on Distributive Lattices

In cooperative game theory, a central topic is to define a rational way for distributing the total outcome among players (solution concept of this game). For TU-games, there exist two well-known solutions: the Shapley value [14], and the core [7]. The first one is defined by a set of rationality axioms: linearity, null player axiom, symmetry, and efficiency. It is applicabl