Control by one country, organization, etc. over other countries, etc. within a particular group.
Leadership or dominance, especially by one state or social group over others.
The country’s continuing desire for political and military hegemony. (Oxford)
The three nations competed for regional hegemony.
continuing desire for hegemony
competed for regional hegemony
Leadership
Dominance
Helplessness,
Self-|Government
Hegemonic