the dominance or leadership of one social group or nation over others
The hegemony of a single member state is not incompatible with a genuine confederation. To say they have priority is not to say they have complete hegemony. The consolidation of the United States' hegemony over a new international economic system.
source: WordNet 3.0
Leadership; preponderant influence or authority; -- usually applied to the relation of a government or state to its neighbors or confederates.