Followup to:  The Moral Void

Three people, whom we'll call Xannon, Yancy and Zaire, are separately wandering through the forest; by chance, they happen upon a clearing, meeting each other.  Introductions are performed.  And then they discover, in the center of the clearing, a delicious blueberry pie.

Xannon:  "A pie!  What good fortune!  But which of us should get it?"

Yancy:  "Let us divide it fairly."

Zaire:  "I agree; let the pie be distributed fairly.  Who could argue against fairness?"

Xannon:  "So we are agreed, then.  But what is a fair division?"

Yancy:  "Eh?  Three equal parts, of course!"

Zaire:  "Nonsense!  A fair distribution is half for me, and a quarter apiece for the two of you."

Yancy:  "What?  How is that fair?"

Zaire:  "I'm hungry, therefore I should be fed; that is fair."

Xannon:  "Oh, dear.  It seems we have a dispute as to what is fair.  For myself, I want to divide the pie the same way as Yancy.  But let us resolve this dispute over the meaning of fairness, fairly: that is, giving equal weight to each of our desires.  Zaire desires the pie to be divided {1/4, 1/4, 1/2}, and Yancy and I desire the pie to be divided {1/3, 1/3, 1/3}.  So the fair compromise is {11/36, 11/36, 14/36}."