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Early in the story, Z is hungry, and X and Y are not. Z says that he thinks that because he is hungry, 'fair' is defined with him getting more pie, while X and Y disagree. This seems like a slightly strange story to me, but here's a much stranger one:

Z is hungry, and X and Y are not. X thinks that it would be fair to give Z 1/2 the pie, but Z and Y both think it would be fair to split the pie 1/3;1/3;1/3. In other words, the person who is arguing the fairness of the unequal distribution is not the person who would benefit from it. This feels much less... (read more)