They play together until they eliminate the others.
the best proof of this is if you look at the history of this game from 500
http://www.wargear.net/games/view/167896
rico attacks me with no chance to eliminate me (at the moment when I have 3 cards and yellow has 4) and then goes offline. Yellow does not use the opportunity to kick him out because he thought that he might play next turn, after rico is skipped yellow eliminates him and wins.
My impression was that rico had to go and gave yellow the game. I am not of those who can not stand defeat but not in such a dishonest way.