A note on the β-measure for digraph competitions.

Digraph games are cooperative TU-games associated to digraph competitions: domination structures that can be modeled by directed graphs. Examples come from sports competitions or from simple majority win digraphs corresponding to preference profiles for a group of individuals within the framework of social choice theory. Brink and Gilles (2000) defined the β-measure of a digraph competition as the Shapley value of the corresponding digraph game. This paper provides a new characterization of the β-measure. [ABSTRACT FROM AUTHOR]