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Live variance reduction tournament

Posted By: Johan Segers
Date: Tuesday, 6 September 2011, at 6:41 p.m.

In Response To: Live variance reduction tournament (Timothy Chow)

Thanks for the link! Being a probabilist myself, I greatly appreciate the poem.

Back to the issue itself: in my opinion, the main objection against using error rate as the criterion is that it takes away all interaction between the players. In an error rate tournament, I doesn't make a difference for me if I have to play a perfect opponent or an absolute beginner. In fact, in an error rate tournament it would be conceptually equivalent (and much more practical) to have everybody play a bot right away...

In a variance reduction tournament, however, if my opponent is a beginner, I hopefully win the match and so I earn points (100 percent for the victory minus my luck rate), even if I don't play perfectly. In this way, what I earn is not equal to my performance measured relative to a perfect opponent (which is in some sense what the error rate is), but my performance relative to my particular opponent at that moment. In this way, the match becomes a real fight between me and my opponent.

Does that make any sense?

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