The "Direct Democracy Duel" is conducted by a system we call Modified Random Ballot (MRB). Every day, voters are offered four options for the following day's Duel. Each voter indicates which options they would be happy to play, and votes for each of those options. One person's ballot is then chosen at random, and one of the options they voted for is randomly selected to the be the following day's Duel.
This has several advantages over traditional systems like First Past The Post, in which the option with the most votes would always win. These include:
If you enjoyed this brief foray into psephology, Wikipedia has a pretty good series of articles on the subject.
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