but this would ensure no one else in their right mind would bid against you.
I haven't played for very long, but I've played long enough to know that there are plenty of people that make what I would consider "out of their mind" bids.
bidding 1.5m each on two players of 600k and 800k max value
I've seen plenty of 500K bids on 200K players so I have no trouble envisioning a 1.5 m bid on a 600K player.