I have a set of users who have won a game
('jim', 12), ('james', 54), ('john', 76), ('dave', 22), ('garry', 34), ('stuart', 16)
I would to award them a share of points based on there position in the game on a sliding scale. The 'global pot' is $100 and I would like the winner to get the most with other users getting less based on a sliding scale to there position.
Would anyone know of an 'scoring' algorithm to do this...? Similar to ones used in poker but with a fixed pot
You can give them their share in proportion to their share of the points. If $t=12+54+76+22+34+16=214$, then jim gets $\$100\cdot \frac {12}{t}=\$5.61$ and so on.