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Favorite Games. Chess variants favorited by our members.[All Comments] [Add Comment or Rating]
H. G. Muller wrote on Sat, Oct 21, 2023 11:25 AM UTC in reply to Jean-Louis Cazaux from 10:39 AM:

Indeed, that is correct. If you have favorited 4 times as many games, your votes get 2 times lower weight. To avoid fractions, the person that casted the most votes is given weight 1. Currently that is someone who casted slightly less than 400 votes. That means that people that casted 100 - 400 all get weight 1, people that casted 44 - 100 votes get weight 2, casting 25 - 44 votes you get weight 3. If someone casted only a single vote that vote gets weight 19. So the weight increases with fewer votes, but it is not that everyone gets 400 votes and can give all of those to a single variant.

The general formula here is weight = sqrt(max_given_votes / given_votes), rounded down to an integer. Max_given_votes currently is 389, and sqrt(389) = 19.72 -> 19. Giving 2 votes the weight already drops to 13.93 -> 13, and for 3 votes to 11.39 -> 11. So another way of looking at this is that you get more votes to give if you distribute those over more variants.

This is still open for discussion. (E.g. we could also use a cube root instead of a square root, in which case the weight for a single vote would go up to 7, instead of 19.) But considering the large score the top contenders get this way, allowing the weight of a single vote to run up to 19 does not seem too disrupting.