If a player gets bid on 14 cards, he or she has two options:
1. Instantly join the team that made the 14 card bid.
That's the way the rules have been for quite a while (excluding the obvious change of max bid to 14). The theory, which has been somewhat broken by the goings-on of this particular auction, is that you'd only bid the maximum on players that you
really, really want on your team. Yes, if more than 5 players want to accept your 14 card bid then you won't get to pick your team, but that's a situation that's just not meant to happen. The easiest solution is to not place 14 card bids on players you don't 100% want on your team.
It's obvious the auction's gotten out of hand here, but without restarting it all with a fresh set of rules, there's nothing we can really do about it.