[EM] Fwd: Is Chain Climbing really monotonic??

[Michael Ossipoff]

It was requested that I forward this e-mail (along with 1 or 2 others) to
EM:


---------- Forwarded message ----------
From: Steve Eppley <SEppley at alumni.caltech.edu>
Date: Sun, Apr 20, 2014 at 7:48 PM
Subject: Is Chain Climbing really monotonic??
To: Michael Ossipoff <email9648742 at gmail.com>


Begin with:
     7: A B C
     6: B C A
     5: C A B
First add C to S since C is bottom-ranked by the most (7).
Then add B to S since only B is unbeaten pairwise by a candidate in S.
Then elect B.

Suppose two voters raise B from the bottom:
     7: A B C
     6: B C A
     3: C A B
     2: C B A
First add A to S since A is bottom-ranked by the most (8).
Now B can never be added to S since B is beaten pairwise by a candidate in
S.
So now B can't win.

Have I made a mistake?

--Steve
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