When we no longer need FBC, then we can, instead, get some properties valuable for the Green scenario:
1. Mutual Majority Criterion (MMC) 2. No chicken dilemma 3. Preferably, Condorcet Criterion The combination of #1 & #2 is a powerful combination, one that allows strategy-free sincere ranking for members of a mutual majority. ...the otherwise elusive rank-balloting ideal. #3 adds a considerable amount of strategic freedom to rank sincerely, even for voters who are not in a mutual majority. Additionally, #3 avoids dis-satisfied majorites, thereby making the voting system stable against replacement. What methods possess properties #1, #2, and #3? Benham and Woodall do. Let me define them here. I'll start with Benham, but it's necessary to define IRV first, because Benham uses IRV: IRV: Determine which candidate tops fewest rankings. Delete hir from all the rankings. Repeat till only one candidate remains un-deleted. Elect hir. [end of IRV definition] Benham: 1. "X beats Y" means that the number of ballots ranking X over Y is greater than the number of ballots ranking Y over X. 2, Do IRV until there is one un-deleted candidate who beats each one of the other un-deleted candidates. Elect hir. [end of Benham definition] Woodall: Do IRV till only one member of the initial Smith set remains un-deleted. Elect hir. The Smith set is the smallest set of candidates such that every candidate in the set beat every candidate outside the set. [end of Woodall definition] Strictly speaking, Woodall is a little better than Benham. But not importantly. They both always choose from the Smith set, but Woodall is more particular which Smith member it chooses. Benham is definitely good enough. It possesses the 3 properties that I listed, and more (Smith Criterion). Benham is lot easier to define and propose, in comparison to Woodall, because, though it always chooses from the Smth set, Benham's definition definition doesn't require a definiion of the Smith set. Benham is offered as one of the rank-counts at the Condorcet Internet Voting Service. There, it's referred to as Condorcet-IRV. A journal article by James Green Armyage discusses Benham, Woodall, and a few others, and points out their better freedom from strategy-need, in comparison to other methods. to be continued... Michael Ossipoff ---- Election-Methods mailing list - see http://electorama.com/em for list info
