A CHARACTERIZATION OF THE INTERVAL MYERSON VALUE

The Myerson value is a characterized allocation rule for analyzing games with a coalitional structure, merging ideas from graph theory and classical cooperative game theory. In this article, we extend these ideas to characterize a solution for cooperative interval games, which consist of a finite set of players, where the coalition values are compact intervals of real numbers. We adapt the axiom of efficiency by connected components, which Myerson proposed in the classical theory of cooperative games with graphs, to interval games. Additionally, we introduce the concept of superadditivity under tau and define a new axiom, which we call equity with respect to tau. With these two properties, we propose a new characterization of the interval Myerson value.