This is an abstracted version of the problem I'm facing and I have to tell you first, my question might not be precise and or even correct, so I hope you understand and in that case can improve the point. I'm striking a problem field that I'm not very familiar with. But case is this.
There is an organization that has lets say 7 departments. Departments are getting a share of the money, say 1000000. There are several variables that affects the final share of the sum 1M per department. Variables are divided to sections and meters:
Section (S) 1, 2, 3 and 4 which all has meters (m), lets say:
S1: m1, m2 S2: m1, m2, m3 S3: m1, m2 S4: m1, m2, m3, m4
Total score is calculated by summing up all meters on all sections. And total score is used to calculate portion of the share. There is some other math involved at this point, but I'm simplifying the problem now for this question.
Departments also have some variables, like size by employers, their salary, activities performed and such, which defines initial sum they get. But total of all departments is 1M.
Now after certain time period, say 4 months, variables are checked and new portion of the share is calculated based on sections and their and meters.
This raises a problem, which might not be apparent on simple example given above, but what is the actual question and problem of mine. Departments will get certain percentage of the share, so bigger departments will get bigger and smaller will get smaller. It looks like this is not rightful and equal in this system, because more the bigger departments get, slice from the share is bigger and it affects increasingly on smaller departments. At the moment share is somewhat percentage (linear) based, but I was thinking if share could be functionally (logarithm) defined, or something else. Does anyone has insight to this kind of problem?