[EM] IRV and Brown vs. Smallwood

[Raph Frank]

On Wed, Apr 8, 2009 at 7:54 AM, Don & Cathy Hoffard
<dchoffard at verizon.net> wrote:
> The primary may be non-monotonic as well as the general election but
> together they are monotonic.

You presumably meant that the other way around.  Plurality is
monotonic for both elections, but the 2 taken together result in
strategy and a non-monotonic effect?

Monotonic = voting for (or raising the preference of) a candidate
cannot result in that candidate losing

Ofc, voting for a candidate in stage 1 cannot result in him ending up
losing.  What happens is that by voting for a candidate, you can cause
your 2nd choice to lose.

Looking only at the votes, the process is monotonic.

OTOH, shifting your vote in stage one from one candidate to another is
non-monotonic.  By taking your vote away from one candidate and giving
it another, you can cause the the first candidate to win.