Players can get new votes, and it turns into a game of who gives less ****s to stop first.
Obviously this is against the rules and whoever does it - will get punished.

OT:
I don't think it's fair for someone who joins a room and gets kicked just because some people dislike him. Sure, if the player is doing something which annoys everyone, even as something as stupid as killing everyone in a training room, I can somehow understand it. But let's say someone joins a gladiator room and he gets kicked because people dislike him for killing or because he uses ice element or whatever - this kick is unjustified.

It's a no from me too, GM's don't unkick everyone who asks for an unkick - we decide if they deserve the unkick or not.