I have a set of game characters of a single shape (A) but a different size (small (1) to big (5)) and so the set of characters is (A1A2A3A4A5). They interact with eachother in a game grid in a pair-wise fashion, an interaction during which one will win and one will lose a battle. This goes on for a finite amount of time.
Is there a way I can use Bayesian inference to:
- create a ranking of these characters in terms of who has won the most, and
- create a variable that represents the gradual acquisition of knowledge about the
difference in size between the characters?
I currently have a list of Beta variables to characterise the rank, and can see how one could possibly use some kind of inference to rank them, but I am unsure as to make the second part work. The size difference needs to be used in some way to inform a variable, but I am unsure beyond that.
So in sum, help greatly appreciated on points 1 and 2.