STV is not house-monotonous!

DEMOREP1 at aol.com DEMOREP1 at aol.com
Wed Jul 29 22:00:59 PDT 1998


Mr. Markus Schulze wrote---

even if you use the Hare Quota, STV violates
house-monotonicity.

Example:

   28 voters vote A > C > B > D.
   40 voters vote B > A > C > D.
   32 voters vote C > A > B > D.
   80 voters vote D > A > C > B.
[180]
-----
D- Elect 2
Hare quota = 180/2 = 90

I note that D is in last place by 100 voters so D cannot get a quota (90)
before A, B or C does.  That is, D is a Condorcet loser with N = 2.

That is, there should be a check for Condorcet losers, especially if N is
small or if there is a large number of candidates/N ratio.

A gets 28 + 80 = 108  -90 = 18 more for C
50 C vs. 40 B.    C wins
Final A 90, C 90.

Also, whenever any candidate gets a quota, then there should be a check for
more Condorcet losers and clones among the remaining candidates.

For N = 3, D is still a Condorcet loser. A,B and C would be elected.



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