[@Calle] Both of the options aren't exactly foolproof. Since friends of the writer can still vote for their friend's entry. And this particular space is still very limited in its user base. Though for anonymity's sake, which there's hardly a difference in all cases but one. That alone may be worth considering. I.E. The idea that you privately post your entry to the contest moderator. So they can post all the entries themselves, so the username of the work remains unknown to the readers and contestants who may review it.  

So no biases can be either claimed, nor inflicted upon a user's work. Which might encourage more thorough and less shallow critiques of one's work. Say, if you don't like a user for whatever reason, and don't actually have much legitimate critique of their writing, that person therefore won't be able to make up criticisms that don't reflect the work. In contrast to having the names displayed, before the writing is even witnessed.