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]
(..) buying pussy with company money? since it technically constitutes fraud. And I'm sure that some of our advertisers and rival publications... might like to know about it as well, not to mention... Craig's wife. - What do you want? - One year's salary benefits. That's not going to happen. (..)1999 American Beauty