a battle/struggle for 'supremacy'
military/economic 'supremacy'
(..) Mr Andrews,... ..designed her. l knocked her together... ..but the idea was Mr lsmay's. He envisioned a steamer so grand in scale... ..that its supremacy would never be challenged. And here she is... ..willed into solid reality. Hear, hear. Salmon. You know l don't like that, Rose. She knows. (..)1997 Titanic