How do you resolve a situation where both people want something different and neither can be persuaded to change their mind. One offers the other the choice of solutions but makes it very clear they would be unhappy if it was against their views basically meaning that there is not really a choice available at all, but giving false hope. Equally though this arguement can be turned around the other way as asking the other person to make the choice would put them in the same situation. Both have stated their reasons for and against the choices without any further progress.