That's not really a "trick". The video isn't supposed to be a random sampling. It's supposed to be funny.

All gone. Unfortunate

Yeah, in the original version, you should always betray. I don't feel like doing calculations with this payout system, because I'm lazy, but it seems that way. Betray and you get 0 or get 3, ally and you get 2 or lose 2. Betray certainly seems like it would end up being beneficial.