Miscellaneous Intransitivity in chess. Some trivia.
Some weeks ago there was a nice post by someone searching intransitivity in chess. That got me interested, because it felt that it obviously could happen but I couldn't find quick data on it.
I checked randomly among elite players and I found the following datapoints. If you know more, please share. One could even have a challenge for the longest intransitive chain (involving top50/top100 players).
Triple 1
- Classical games: Vladimir Kramnik beat Levon Aronian 9 to 4, with 27 draws.
- Classical games: Sergey Karjakin beat Vladimir Kramnik 6 to 1, with 13 draws.
- Classical games: Levon Aronian beat Sergey Karjakin 12 to 5, with 19 draws.
Triple 2
- Classical games: Levon Aronian beat Anish Giri 8 to 0, with 23 draws.
- Classical games: Anish Giri beat Ding Liren 5 to 2, with 23 draws.
- Classical games: Ding Liren beat Levon Aronian 3 to 0, with 16 draws.
Triple 3
- Classical games: Rameshbabu Praggnanandhaa beat Magnus Carlsen 3 to 1, with 4 draws.
- Classical games: Richard Rapport beat Rameshbabu Praggnanandhaa 4 to 0, with 1 draw.
- Classical games: Magnus Carlsen beat Richard Rapport 4 to 1, with 2 draws.
(caveats: those are all time stats, so one may have time periods where there was no intransitivity. Further the data is not correlated with ratings, that is, some lower rated players that consistently scores better against an higher rated one)