Nontransitive Dice Paradox in Networking ∗
نویسنده
چکیده
Here is a simple trick that you can use to try to dupe a friend out of his money with high probability. Bet with him on the outcome of three specially numbered dice labelled X , Y , and Z each with six faces marked as: X (3 3 5 5 7 7), Y (2 2 4 4 9 9), Z (1 1 6 6 8 8). Each person chooses a different die. The larger number wins when the dice are rolled. Strangely, whichever die your friend has chosen, you can always outwit him with another die of greater winning probability; in fact P(X > Y )> P(Y > X), P(Y > Z)> P(Z > Y ), and P(Z > X)> P(X > Z). Therefore, one can legitimately arrange the order of the dice as Z ≻ X ≻Y ≻ Z, creating a cyclic preference.
منابع مشابه
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