Account Names

I am genuinely wondering if it is allowed to sell an account name. Like, not the ownership of the account, but the name. For example purposes, let PA be account owner and PB be account buyer. So PA and PB would discuss terms/etc. and then the PB would send money to PA, maybe with middleman (it's all example purposes), and then PA would change name and coordiante with PB to change name to the old name at the same time. Is this allowed? I have never done it, but I own the account name Yii, it's level 1 no skins or champs, and I don't play yi anymore and was wondering if anyone wanted to buy and if it was allowed. If it isn't, I suppose I may give the account name away.