[EM] fun diagrams (was: But I propose Approval and don't propose ERIRV)
James Green-Armytage
jarmyta at antioch-college.edu
Sun Jul 25 02:35:17 PDT 2004
>
>As I was saying before, I demonstated the Schwartz set by making dots on
>a
>paper, representing candidates. I drew an ellipse and said "These
>candidates
>are unbeaten by the others". I drew a smaller ellipse in the ellipse and
>said that these also were unbeaten by anyone outside that smaller
>ellipse,
>and that there were no more smaller ellipses in it. Obviously the
>candidates
>in the inner ellipse are more qualified to win.
>
That's cool, man. I tend to draw little diagrams where one candidate
beating another is represented by an arrow, like this one. (The little
numbers are the strength of the defeat, in winning votes.)
http://fc.antioch.edu/~jarmyta@antioch-college.edu/voting_methods/diagrams/image002.gif
See... A, B, and C are in the Schwartz / Smith ? GETCHA / GOCHA / minimal
dominant / minimal undominated set... and D ain't not in the nuthin' set.
Ta-da!
Here's a really crazy one... one that shows a different result for
beatpath and ranked pairs... I like to show people this one because it
makes it look like I'm working on something really occult!
http://fc.antioch.edu/~jarmyta@antioch-college.edu/voting_methods/diagrams/image017.gif
Haha! These are taken from the Condorcet section of my survey
http://fc.antioch.edu/~jarmyta@antioch-college.edu/voting_methods/survey.htm
I do crazy little diagrams like this all the time. They are the source of
my power...
happy trails,
James
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