Harry Browne had a technique for splitting up assets: One partner does the splitting. And the other partner gets to choose who gets which pile.
(He also has a more elaborate one, where the partners do a virtual auction of all items among themselves, to account for cases where particular items are worth a lot more to one of them. I believe it’s in his book “How I Found Freedom in an Unfree World”).
The first one is a very common technique among siblings too, let one of them split a cake and the other one gets to pick the piece. Applied game theory.
(He also has a more elaborate one, where the partners do a virtual auction of all items among themselves, to account for cases where particular items are worth a lot more to one of them. I believe it’s in his book “How I Found Freedom in an Unfree World”).