From the rules PDF:
It's written in such a way that leaves it ambiguous, but I believe the intent is for the two tied players to be the only ones eligible for the run-off tie breakers. It's not done that way on BGA. On BGA if 2 people had the same money, a third player with less many can end up going first due to a highest sector card. Doesn't make sense to interpret it that way imoThe player
who kept the most money goes first. In the case
of a tie, the player with the highest sector card
goes first, and if still tied roll to see who goes first.