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]
(..) I'm talking about love, and you're talking about your appetite. Easily confused. Now, do you know, um, Count Vronsky? Who? No. Why? He's your rival. He turned up from Petersburg after you left. Who is he? Oh, you don't need to worry about him. He's... He's just... (..)2012 Anna Karenina