Chess Stack Exchange is a question and answer site for serious players and enthusiasts of chess. It only takes a minute to sign up.
Sign up to join this community
I'm sure that the published rankings are reported rounded to the nearest integer!
But for the purposes of the calculation of the next rankings are the Elo ranks of GMs considered to actually be those integers, or does the managing body track their Elo score to one or more decimal places.
The answer is relevant to my next question (will link after posted)
As you can see from Nakamura's rating calculations for the 2022 GCT Saint Louis Rapid and Blitz - Rapid when he lost 47.80 rating points FIDE uses floating point arithmetic for it's calculations rather than integer. This is not because GMs are special it is because it is the obvious common-sense way of doing things and is done for all ratings for all players.
Elo ratings are calculated allowing changes with decimals to occur after each game. However at the end of the month all Elos get rounded to the nearest integer.
Imagine Player A has a rating of 2000 and plays two tournaments this month gaining 7.4 Elo points in each. On January 1st, his rating of 2014.8 will turn into 2015 (and that's the number that will be used in all future calculations)
On the contrary, if the same player with a starting Elo of 2000 played one tournament in December and the other one in January, he'd make it to 2007 by January 1st and then to 2014 by February 1st.
