Characterizations of Solutions in Digraph Competitions

The T -measure is introduces as a method to rank the nodes in a digraph competition.It coincides with the T -value of an associated transferable utility game, the so-called digraph game.The T -measure is characterized in two ways.One of them is based on a characterization of the T -value in bankruptcy games and uses a decomposition axiom.This characterization also leads to a new characterization of the --measure, a solution method for digraph competitions based on the Shapley value of the digraph game.