What are your edge over other applicants?

This question entails that I compare myself with people I don't know, which would seem too presumptuous whichever way we look at it. This is why I would rather mention all the things I can offer to the company than try and belittle the abilities, skills and whatnot of the other applicants. (Then I would go on enumerating the skills I have that would benefit the company without putting down anyone.)