What to study according to the general principles of building ratings, voting, etc?

Question

Books

Good afternoon.
There is a task for the Internet project to implement a system of voting for materials. Something like competitions, where the work with the highest rating wins. It is extremely important that the rating be as objective and resistant to manipulation as possible.
Such a system could be built in many different ways, I would like to study proven and calculated methods and, in general, theory. Instead of something to fence and walk on a rake.

Answer 1

Read "Game Theory and Decision Making" , you will understand why the ideal voting system does not exist. It all depends on how you count.
Also worth reading:
How to properly sort content based on ratings...
The mechanism for calculating the rating of a store on Yandex.Market
The formula for calculating the rating on film search

Answer 2

Voting theory. The course was recently on the course

Answer 3

I used to develop the theory of this case :) https://docs.google.com/document/d/10J7lgxiXfuToQ6...