Just as Madworld told. First check is barrier, whoever wins barrier has higher OVERALL initiative. If there is no barrier, check whose passives load fast. The team whose passives load last has higher overall initiative. If your team has no passives and barrier, then i dont think you can find who has higher overall initaitive. Apart from overall initiative, each position initiative is important since you specially mentioned you dont want your moves to be cancelled. You will need one round to learn this, so the first round will anyway be guess work. Just observe whoever is making standard attack first in each of the four positions, definitely those people will also do mystery first.