I have a number $X$ (let say it's 100). I want to 'split' it$N$ times in a 'exponential' looking way.
For instance $y = 0,2692x^{-0,925}$ with $x$ the integers between 1 and 16 is working fine.
The goal is to divide a number of points between all opponents of a competition. Obviously the first wins a lot more than the second, the second more than the third and the differences are getting less and less important.
I did this for 16 opponents by defining the values :
But the number of player will vary.
Thanks !
[edit] This must be similar to: https://stackoverflow.com/questions/7224235/how-to-find-10-values-exponentially-distributed-which-sum-to-a-value-x