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]
(..) I turned quite a few heads on my way over here. Dude, I really don't think you should be wearing that. I see. Somebody's afraid of a little competition with the ladies? Looks like someone is the ladies! You're just jealous because you couldn't pull this off. Yeah. Now if you'll excuse me, (..)2004 TvShow: Friends Title: The One with the Birth Mother Season: 10 Episode 9
(..) Yeah. Can we talk about the lies you've been spinning me? What lies? I didn't win a competition. I wasn't part of a lottery. I was selected. It's obvious, once I stop to think. (..)2014 Ex Machina
(..) for the Turing Test? You could have had some bean counter turn up at your front door. The guy who fixes the air-conditioning. The competition was a smokescreen. I didn't want anyone to know what I was doing here, or why I required you. Why me? (..)2014 Ex Machina