I don’t think it’s an exact match for a prisoner’s dilemma because (as described) they don’t have a shared goal like not going to prison. if they have an overarching shared goal like being happy with each other, the situation is different.
I don’t think it’s an exact match for a prisoner’s dilemma because (as described) they don’t have a shared goal like not going to prison. if they have an overarching shared goal like being happy with each other, the situation is different.