Tennis has its Wimbledon, soccer its World Cup, and chess its Olympiade. It took place in Dresden, Germany, recently with about 150 four teams in the Men section.
Every team was ranked before the tournament and so was every player. How likely is it that a better ranked team beats a lower ranked team? How likely is it that a better ranked player beats a lower ranked player?
In my opinion the answer will say something of how good the ranking system is.
The same question can, of course, be asked for ranked tennis players, ranked national soccer teams, etc.
Have anyone studied this problem? I am all ears.
In the chess olympiade round 8 these were some of the results:
In four of the six team matches the better ranked team won and in one case the worst ranked team won. In ten of the 24 individual games the better ranked player won and in four cases the worst ranked player won. It would be nice if I could find tons of data of this sort ready to analyse.