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]
(..) This isn't Westeros, where men honor blood. Here they only honor strength. There will be fighting after Drogo dies. Whoever wins that fight will be the new khal. He won't want any rivals. Your boy will be plucked from your breast and given to the dogs. I won't...leave him. The wound has festered. (..)2011 TvShow: Game of Thrones Title: Baelor Season: 1 Episode 9