The OP clearly acknowledges that this scenario is rare.
Everyone is aware that this situation will only happen once every 2 million games (probably between two inexperienced players…).
Even so, I wouldn't mind seeing an official ruling for the sake of tournament situations and such. I imagine tournament matches are timed.
What happens when two players have identical authority when the clock runs out? Is the game awarded to whomever decreased their opponent's authority first? Are ties allowed to exist in tournament games? A few physical Event cards come to mind that could force this situation.
Yeah, that's what I was getting at. For tournaments, at least, even the most remote situation usually has a rule to handle it.