I'm not saying that the values don't bias decisions, I'm saying that they _must_ bias decisions for this to be an interesting experiment. Without vote values there is no sense of a tribe, no reason to check in during the day, it's just a daily random voting exercise with no purpose.
Once you add vote counts there is an actual narrative that plays out over the course of a day (as words rise and fall relative to each other), and each tribe will actually develop a personality independent from the others.
If you're concerned about early votes being disproportionately influential, then you can use Reddit's approach and hide vote counts until enough people vote.
So n (possibly) different base perspectives. And are the secondary word lists the same in each case?
I agree with the parent comment - the values will bias the decision on next word, but then I don't understand the point of the exercise yet.