From Robert A. Levine at The Moderate Voice:
Maine took a different path to changing its voting process. Collecting enough signatures, they had a referendum and passed a ranked choice voting system (RCV). In this method, when a person fills out a ballot for a party primary, the voter marks his or her first choice, second choice, third choice, and so on, depending on the number of candidates. If there is no one on a majority of ballots in the first round, the candidate with the fewest votes is eliminated and his or her second choices are distributed to the remaining candidates. If there is still no majority, another candidate with the fewest votes is eliminated and his or her votes distributed to the remaining candidates. This continues until someone has a majority. This method is the fairest because a candidate must be on a majority of the ballots. Also, it helps independents who are running without party backing and party money. It seemed to work well in the recent primaries.