Re: [EM] final support
Forest W Simmons wrote (31/03/2007): So far, the three most promising measures of defeat strength for Beatpath and the other immune methods are ... 1. Winning Votes: the number of ballots in favor of the pairwise win. 2. Total Approval: the number of ballots on which the pairwise winner is approved. The Beatpath, Ranked Pairs, and River formulations of DMC make use of this measure of defeat strength. 3. Approval Against: the number of ballots on which the pairwise winner is approved but the defeated alternative is not approved. I suggest that we combine these three measures, and call the resulting measure Final Support, because it is an indication of the ratification support that the victor of a pairwise contest would receive, given that the defeated alternative is out of the picture. 4. Final Support: the number of ballots on which the victor of a pairwise contest is either approved or ranked above the defeated alternative (or both). I suggest that River(fs) would be worth looking into, starting with all of the troublesome three candidate scenarios. Forest, Why isn't Approval Margins: the number of ballots on which the pairwise winner is approved minus the number of ballots on which the pairwise defeated alternative is approved on your list of most promising measures of defeat strength..? Chris Benham election-methods mailing list - see http://electorama.com/em for list info
Re: [EM] proportional vote - proportional term
On 4/3/07, Chris Benham [EMAIL PROTECTED] wrote: BTW I think your plan of re-electing 2 out of the 5 in a years time isn't very proportional. Say faction A is supported by a bare majority in both elections. After the first election A will rightly have 3 of the 5 seats, but after the second A will be over-represented with 4 seats. Indeed. Why not hold an election for all the seats each year? The reason for staggering the elections is generally to provide continuity. But those who want to continue and are perceived by the voters as having done well should have no trouble getting re-elected in a yearly election. Cheers, - Jan election-methods mailing list - see http://electorama.com/em for list info
Re: [EM] final support
Approval Margins should have been on my list of most promising, even though it is not as well known as the three that I mentioned. Total Approval would not be that well known except that DMC has received a lot of attention, and DMC is equivalent to River(TA), etc. which, admittedly, may not be that well known. A compromise between Winning Votes and Total Approval that doesn't go as far as Final Support would be this: The number of ballots on which X is ranked strictly above Y plus the number of ballots on which X is both approved and ranked equal to Y. I'll try to think if there is a good way to incorporate Approval Margins into some combination of the other most promising measures. Forest Chris Benham wrote ... Forest, Why isn't Approval Margins: the number of ballots on which the pairwise winner is approved minus the number of ballots on which the pairwise defeated alternative is approved on your list of most promising measures of defeat strength..? Chris Benham election-methods mailing list - see http://electorama.com/em for list info
Re: [EM] final support
most promising I got a bit stuck with these words. Is there a good definition what the target of the search is? Word immune gave one hint on what the targets could be. I don't know if there is an exact definition of the targets or if it is just good in all aspects in all elections, maybe to pick he best winner and to avoid strategic attacks, maybe a general purpose method that can be recommended for all possible (computer counted) single winner elections, maybe even a method that can be promoted without fear of opponents finding nasty failure cases, but if there is a (some more) exact definition for the targets of the search that'd be good to know. Also the set of methods to be considered could carry a message. = Maybe ranked ballot methods or Condorcet compatible methods with option to include also approval or other small additional information (maybe limitations too). I'm somewhat familiar with the history of the discussions on this ,ailing list so I know what kind of methods these discussions usually refer to. Just checking if there is a clear definition of the target state where the most promising methods might take us. Juho ___ All new Yahoo! Mail The new Interface is stunning in its simplicity and ease of use. - PC Magazine http://uk.docs.yahoo.com/nowyoucan.html election-methods mailing list - see http://electorama.com/em for list info
