[soared]

No it is not something Google allows. But for big brands they manually disallow paid results (see "Nike"). I don't see any ads on the uber results page.

[Buge]

I search nike on google and I get an ad. The ad is for nike.

[robryan]

There is some mechanism where you can take control of your trademark on adwords.

[omarchowdhury]

You can only report misuse of your trademark in the ad content, but Google has no problem with trademark bidding.