I'd say if it's a tie, it's a tie! That seems simple enough.
But it's hard for me to believe that nobody could have gotten an extra VP or taken away a VP point from another player. I mean, that would literally mean no units were on the board.
In my turn, I broke into area and broke his bonus - and then I cast undertow (I believe it was this vigor) on his stronghold - which he had his blimp, leader and most of his handymen on the location. Meaning he couldn't move any of those units. Which was good, cause my attacking force was pretty small.
next, neither of us couple capture more territories for control of extra points since we were both heavily unit poor after some of the story elements flat out destroyed us (thanks songbird+booker having a fight and destroying my stronghold), I also placed all my structures already so I couldn't "claim territory" without abandoned it.
So - that is how we got stuck.