Majority Acceptable Score voting

Majority Acceptable Score voting works as described below. Technically speaking, it's the graded Bucklin method which uses 3 grade levels and breaks median ties using Score voting.

• Voters rate candidates 0, 1, or 2.
• Eliminate any candidates with a majority of votes at or below a number, while some other candidate (or candiadates) has a majority strictly above that number. That is, keep only those with the highest median. For instance, any candidate rated 0 by a majority is eliminated, unless that eliminates all candidates.
• Then the points are added up for the remaining candidates, and the highest points wins.

Blank votes are counted as ratings of 1 or 0 in proportion to the fraction of all voters who gave the candidate a 2. For example, a candidate could not win with more than 71% blank votes, because even if the other 29% are all 2-ratings, that would leave 71%*71%=50.41% 0-votes, enough to eliminate.

Here's a google spreadsheet to calculate results: [1]. On page 2, it has some hypothetical results for the Egypt 2012 election, showing that this system could have elected a reformer over Morsi, despite vote-splitting among the various reformers. IRV could have elected Morsi.