This is the tiebreaker format in fencing bouts. 3 3 minute rounds up to a max of 15 points (touches). If the final period ends tied, 1 minute sudden death overtime with a predetermined winner ("priority") by coin flip.

For what it's worth, it does work pretty well, but it helps that the tiebreaker doesn't require physical effort. A long set of PKs followed by an overtime would be a hell of a burden on goaltenders, especially the (would-be) loser.