The company's latest cell phone has no 'rival/rivals'. [=the company's newest cell phone is much better than all others available]
The company's paper is the 'rival' of any in the world. [=it is as good as any paper in the world]
He told a 'rival' version of the story. [=a version that disagrees with another version]
(..) Then it hit me. If I was the bad boy. Then I was going to be the baddest boy of them all. I was destined to be a super villain. And we were destined to be rivals. The die had been cast. And so began an enduring epic, life long career. And I loved it. Our battles quickly got more elaborate. (..)2010 Megamind