The school fosters an atmosphere of 'competition' rather than cooperation. [=it encourages students to compete against each other instead of work together]
Downtown stores are looking for new ways to attract customers in the face of 'competition from' the stores at the mall.
There will be intense/fierce 'competition' for the top spots. [=many people will be trying to get the top spots]
(..) Yes, but I assumed I would've been dead hundreds of years. And that there'd be an asterisk by his name because he'd be a cyborg. So you got a little competition. I really don't see what the big deal is. Of course you don't. You've never excelled at anything. I don't understand, exactly how did (..)2008 TvShow: The Big Bang Theory Title: The Jerusalem Duality Season: 1 Episode 12