Hello, when proposing DAMC, I also wrote: > What I'm not sure about so far is ... what would happen > when we used the "resorting" or the "definitively defaeted" version > of DMC with absolute majority size defeats only.
Here's a "resorting" version which seems to be equivalent to DAMC(River) but which is, however, a bit more complicated to describe: 1. Sort the options from top to bottom by descending approval score and draw for each absolute majority defeat an arrow from the defeated to the defeating option. 2. Remove all arrows for which a second, upward arrow exists with the same source and a higher target. 3. If no more downward arrows exist, elect the topmost option. 4. Otherwise, pick a downward arrow from those with the topmost target option. If this arrow builds a cycle with some upward arrows, remove it. Otherwise move its source option from its current position to just below the current position of its target option (thereby turning the downward arrow into an upward arrow). 5. Go to step 2. When leaving out step 2, we get another "resorting" method which probably is equivalent to DAMC(Ranked Pairs). Yours, Jobst
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