They're determined to 'outshine' [='outdo', 'outperform'] their competition.
She 'outshines' all the other actors in the film.
(..) has ignited a quasar. Quasars are literally The brightest objects in the universe. They're so intense, they can outshine an entire galaxy. Narrator: This is a real photograph Of a real quasar in the galaxy m, million light-years away. (..)2010 TvShow: How the Universe Works Title: Black Holes Season: 1 Episode 2