On Tue, May 20, 2003 at 05:58:10PM -0500, Manoj Srivastava wrote: > Oh, as a sponsor of the GR, I suppose I should clarify that I > am not going to accept this amendment; I consider it a bad one. This > makes our vote method fail the monoticity criteria > (http://www.electionmethods.org/evaluation.htm). See Scenario 2 below.
Sorry, yet another follow-up. This still bothers me. > Scenario B: > > Consider the case where the quorum is 45, and there have been > 44 votes -- 23 for, 21 against. (Only one option on the ballot). I am > opposed to the option. > > At this point; under my version; I can express my opinions > with no fear of harming my candidate. Under your amendment; if I do > not vote; the vote is nullified. However, if I vote against the > option -- the option shall win!! [...] > With the relative order or rating of the other > candidates unchanged, voting a candidate higher should > never cause the candidate to lose, nor should voting a > candidate lower ever cause the candidate to win. I think this is talking about changing an existing vote, not casting an extra one. Thus it's irrelevant to your example. All of the examples on the URL you gave are about changing votes, not adding more. Further, some other URLs I found define the monotonicity constraint as: "If an election is held and a winner is declared, this winning candidate should remain the winner in any revote in which all preference changes are in favor of the winner of the original election." - http://www.ctl.ua.edu/math103/Voting/whatdowe.htm "Changing your vote so as to vote someone higher should never make him lose when he'd have otherwise won. Changing your vote so as to vote someone lower should never make him win when he'd have otherwise lost." - http://www.barnsdle.demon.co.uk/vote/akadem.html "Monotonicity criterion. If one set of preference ballots preference ballots would lead to an an overall ranking of alternative X above alternative Y and if some preference ballots are changed in such a way that the only alternative that has a higher ranking on any preference ballots is X, then the method should still rank X above Y." - http://www.csc.vill.edu/faculty/bartlow/html/mat1220/arrowthm.html Adding additional votes is not the same as changing additional votes. Common sense would seem to suggest that if the vote changes from 23/21 to 23/22, for should win, anyway. Against was never going to win. The extra vote didn't make the for case win - it simply made the entire ballot valid. I have serious concerns about this ballot. John Robinson's proposed amendment has been rejected by Manoj so according to the constitution it should be voted on. Further it seems to address some real problems in the new proposed system. Hamish -- Hamish Moffatt VK3SB <[EMAIL PROTECTED]> <[EMAIL PROTECTED]>