I have this game that I call "Coin of destiny", not sure where I heard this from or if it is widespread, but the idea is to flip a coin for dilemma when you can't decide. It also works in group. The hard part of the game is to take it seriously, in the sense that as soon as you decide to play, then the final decision is irrevocable and you must follow the destiny.

It's nice to see a link to some experiment/research about this process that seems positive - https://www.nber.org/system/files/working_papers/w22487/w224...