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Plenty of people have already explained my point. The analogy with rock-paper-scissors is not that it's "due to chance".

A player being "better" than another one is not a transitive property.

In many games, due to different play styles you can have A>B, B>C and C>A, just like in rock-paper-scissors.



I didn't understand your point but now I do, because "rock-paper-scissors" as a reply isn't clear enough as a statement to communicate what you wanted, which is just an example of something that isn't transitive.




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