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18-Jul-2017 00:52

Continuing this to infinity we get the Thue-Morse sequence: ABBABAABBAABABBA… Some even call this sequence a fair-share sequence.Should I go ahead and implement this sequence each time I cross paths with John Conway?Alice has the advantage as the first person to choose.An alternative suggestion I hear in different places, for example from standupmaths, is to use the Thue-Morse sequence. If Alice and Bob value their stuff differently, there is a better algorithm, called the Knaster inheritance procedure, that allows each of them to think they are getting more than a half.

But in this case, the alternating sequence is not so bad either, and is much simpler. Suppose you are divorcing and dividing a huge pile of your possessions. First Alice choses a piece she wants, then Bob, then Alice, and so on.* * * Teacher: —I keep telling my students that one half can't be larger or smaller than the other. What is interesting about the first problem is that it passes the color test.



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