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]
(..) that is smarter than other chickens and to absorb its power. And make a nice Kiev. But, oh, well. So, what? You're just gonna give up? Just because of a little competition? That chicken is out there, Red, and it's waiting for you. To eat it. And you have been waiting for a very long time to eat it. (..)2013 TvShow: Orange Is the New Black Title: The Chickening Season: 1 Episode 5