Muligan? That's from magic the gathering right? If I recall right, there isn't any muligan here. You only shuffle your hand into your deck if you don't have any basic pokemon, and your opponent can draw a card.
So it means what ever happens... there is a match that will be fought? is that it? since mulligan (MTG term) doesn't exist, am I right or am i getting confused by my self here...
If you dont get a basic in your hand, you re-shuffle your hand and your opponent MAY draw an extra card. Once you get your basic the game starts. Your opponent doesn't HAVE to draw a card, so muligan stops when you draw a basic.
I think consistant mulliganing can be petitioned for a judge, though, since there is kind of a time limit. I'd draw the cards just because of less time and the advantage I'd have on my opponent.