I'm working on a simple game to rate a users' preference among several styles. There are
C classes, and the game consists of
R rounds of comparison. At each round, the user is presented a [pseudorandomly selected] single representative image from each of
S classes and chooses exactly one to be the "round winner." At the end of the
R rounds, there cannot be a tie among any classes (i.e., one of the classes must have a higher score than all the others).
For example, say I have 3 classes (traditional, contemporary, alternative), and I want to run a 5 round game, comparing 2 classes per round.
I'm looking for an algorithm to provide as-even-as-possible sampling from each of the classes, but in such a way that it would be impossible to end the 5th round with a tie.