Various things can happen with divided majorities -- 2 or 3 or more in the divided majority. A minority may, of course, be also divided into 2 or more subparts. If there are 3 or more in a subgroup (majority or minority), then there can be circular ties within such subgroup. ANY use of place votes does NOT show any *absolute* show of support. Example- Hitler, Stalin and Genghis Khan are in a popularity contest for being *nice* guys - i.e. world class killers. Since there is the Condorcet Winner test, I would suggest that RES is another tiebreaker IF there is no CW.
