This hypothetical makes no sense to me. Why couldn't they all be given something of value? If the dying person only has one valuable item then sell it and share the money equally. If the dying person doesn't want the item to be sold then set up a sharing agreement where they each get to have it for equal amounts of time. Etc. But even in your version of it you say the dying person has several things of value to give away. I don't understand the premise or point of this hypothetical.