Conference structures and consistency

In this work we analyze consistency for allocation rules in communication situations. More precisely we characterize the rules proposed by Myerson [R.B. Myerson, Graphs and cooperation in games, Math. Oper. Res. 2, 1977, 225–229; R.B. Myerson, Conference structures and fair allocation rules, Internat J. Game Theory 9 (1980) 169–182] by means of this property.