Because they get less than half of the doubled pot? ...re-reading, it sounds like the pot is actually set to double the threshold rather than doubling whatever

Because they get less than half of the doubled pot? ...re-reading, it sounds like the pot is actually set to double the threshold rather than doubling whatever's in it. Which means the way I was trying to calculate things out won't work, but also explains why the splitting phase behaved like it did.