Another approach to offering more flexibility (maybe not needed) and more strategy options (maybe not wanted) is to allow the voter to fill the pairwise matrix entries in whatever way. This means that also cycles can be recorded.
One can interpret the basic Condorcet rules so that they do not rule out this option. (The ballot format is not defined.) (Are there good examples where these more flexible approaches would provide some definite improvements?) Juho --- On Sun, 25/1/09, Kristofer Munsterhjelm <[email protected]> wrote: > Juho Laatu wrote: > > OK. Then the model is one where the > > voters may have various opinions on > > various matters but that doesn't > > necessarily mean that they would > > have a complete ordering of the > > candidates. > > > > I can imagine that I could have e.g. > > cyclic opinions on food when there > > are three alternatives and three > > properties that I consider important > > (e.g. low fat, sweetness, nice colour) > > and of which I have clear opinions. > > With these parameters my preferences > > could thus form a logical cycle. > > > > People have however also good > > problem solving abilities. If I'm in > > a restaurant sooner or later I'm > > usually able to make up my mind. > > Maybe by giving some weights to my > > preferences and then choosing my > > favourite food for today. I may also > > need to create opinions on topics > > that I had not thought before. > > > > As a result I may have mapped my > > (already existing and maybe newly > > generated) logical rankings of > > different properties to ratings > > (that are transitive by nature). > > > > What I mean is that it may quite OK > > to assume that people are able to > > find some preference order when > > voting. And therefore we can force > > them to do so. > > If you absolutely have to have intransitivity (for > instance, when judging contests), you could give each judge > the option of submitting multiple ballots, but where the sum > of the weight of these ballots are the same. If you want to > judge based on sweetness, fat, and color, each of your votes > count 1/3. > > This would open up the possibility of new ways of strategic > voting in trying to form a Condorcet cycle, so I don't > think it's a good idea in a general election; but > "if it's demanded, we can supply". ---- Election-Methods mailing list - see http://electorama.com/em for list info
