Young & Dodgson Example

[Mike Ossipoff]

This is to demonstrate Young's & Dodgson's failure with truncation,
and isn't intended as a bad-example for new-Dodgson.

Sincere preferences:

45%: Dole, Clinton, Nader
25%: Clinton
30%: Nader, Clinton, Dole

(the 25% could just as easily be listed as ranking Dole 2nd; it
doesn't matter. Of course if they ranked Nader 2nd then the Dole
voters shouldn't truncate, since Nader would beat Dole).

The Dole voters truncate:

45%: Dole
25%: Clinton
30%: Nader, Clinton

Though Clinton is Condorcet winner, based on the sincere preferences,
the truncation creates a circular tie. Dole has the smallest 
margin by which he's beaten. That means that he can be made to
beat everyone by ignoring fewer preference votes than would be
needed to make anyone else beat everyone. So he wins by Young's
method. It also means that he can be made to beat everyone
by reversing fewer preferences than would be needed to make
anyone else beat everyone, and so he also wins by Dodgson's
method.


Mike


--