Ok, so we are a group of friends and every week we get together to watch a movie, and we have to go through a vote to decide which movie to see but we waste too much time on it. I want to see if it is possible to design a voting procedure in which there always is a definitive result in the first round of voting, whilst keeping everyone's voting rights equal.
>3 people have to be present for the vote to happen. So far I keep hitting a brick wall and I think it is mathematically impossible for such a thing to be designed, proving so or otherwise wil; be equally redeeming. Any ideas?