What happens when someone accessed you league account on another computer?
What happens if you're in a league game on computer 1 and it goes really well, Then the guy you share your league account with opens league to also play?
If you are sharing your account with someone and they login while you are in a game, the person in the game will be kicked off of the client and the person logging in will see the message "Game is still in progress... please reconnect".