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]
(..) and you can sell one of these with my name on it? I'm afraid I can't help you. Well, then I'm afraid... I will be forced to go to your competition. I'm afraid they won't help you either. You see, in our line of work, a man has to present to the customer a convincing air of healthful vitality. (..)2014 TvShow: The Knick Title: The Golden Lotus Season: 1 Episode 9