On the Beta measure for digraph competitions
Marieke Quant, Peter E. M. Borm, J.H. Reijnierse, Mark Voorneveld · Research portal (Tilburg University) · 2006
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.Van den 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.