Forum for Tournament Simulation

Exact Score Distribution [#3330]

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geoff: Exact Score Distribution (2016-10-17 12:46) [#10839]

The problem of calculating a player's individual score distribution in Swiss tournaments is easy when all players have the same grade, but rapidly gets very complicated when players have different grades. However, for Swiss tournaments of 2 rounds with either 4 or 6 players an analytic solution is tractable (for any arbitrary grade distribution and win probability). A McMahon tournament can be constructed as a collection of mini Swiss tournaments, so it is possible to test McMahon pairing algorithms using these special cases.

 
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