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]
(..) personally and bottom line. My fellow shareholders, if Europe and America can learn to co-operate, if we can learn to pool our wealth, share our markets, we can defeat any competition anywhere in the world. Thank you for your time. I hope that you will look favourably on my proposal. Thank you. (..)1990 The Godfather Part III