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.
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.
Without vote counts, this experiment will die because there will no longer be any sense of a tribe. There won't be any reason to check back during the day. The chance that you pick the winning word will be very low. So what point is there for the user? To log on every day, pick a word, and then find out tomorrow that their word lost again?
Worse, if word distributions are identical across tribes, then over time the tribes will become indistinguishable from each other because you don't know how your fellow tribe-mates are voting. If you get rid of vote counts you must reduce the number of choices otherwise it's very unlikely for any word to win by a clear margin.