I have some interesting questions that have to do with the rating changes and calculations for the Anand-Carlsen world championship.
First, some preliminary information:
Carlsen's live rating: 2870, Anand's live rating: 2775
If Carlsen wins a game, he gains 3.7 points; draw -1.3 points, loss -6.3 points.
If Anand wins a game, he gains 6.3 points; draw 1.3 points, loss -3.7 points.
The match will be 12 games, with the winner being the first to 6 points. Therefore, the number of standard rated games in the match can vary based on all the ordered possibilities of wins, draws, and losses.
My questions are:
1. What are the possibilities for Carlsen to cross 2900 in live rating?
2. What are the possibilities for Anand to cross 2800 in live rating?
3. What are the upper and lower bounds for Carlsen's rating in the match, given the stipulations?
4. What are the upper and lower bounds for Anand's rating in the match, given the stipulations?