Debian pairwise voting (fwd)
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Sun Feb 6 07:57:24 PST 2000
Mr. Ossipoff wrote--
40: A (the A voters truncate)
25: B (2nd choices of B voters aren't listed, since they're likely
to be divided both ways, and we don't know which side would
get more from them)
35: CB
***
The A truncation makes a circular tie, though B is the Condorcet
winner. In the resulting IRV count, B gets eliminated, and A
wins.
The reason why the A voters are in a position to make a circular
tie is because A beats B pairwise. Otherwise truncation or
order reversal would merely make C win. Since A beats B pairwise,
that means that A beats B in IRV after B is eliminated.
So pairwise, with circular ties solved by IRV is perfectly set
up to reward truncation & order-reversal, and to force a majority
to use defensive strategy to get its way.
The majority preferring B to A can only prevail if, when
A voters truncate, the C voters insincerely move B up to
1st place, with C. If A voters order-reverse, the only way
to keep A from winning is if the C voters actually vote B
over C, moving B to 1st place, and moving C down to 2nd place.
Of course the B voters could also thwart the truncation or
order-reversal, if they insincerely vote C over A. But, for
one thing, that requires that they know froml which side the
truncation or order-reversal will come.
I've just described the general pairwise defensive strategy.
With most pairwise methods, that's all that's available. With
Condorcet's method truncation isn't a problem, and order-reversal
can be thwarted by mere defensive truncation by B voters.
---
D- Minor question- what/where was the original posting regarding the Debian
rules ???
There should be a YES/NO vote on each choice to get a majority acceptable YES
choice (to greatly reduce plurality related strategy/order
reversal/truncation games).
Head to head math would happen only if 2 or more choices each get YES
majorities of all of the voters (with minority voters choosing the lesser of
the 2 or more perceived majority evils using rank order number votes).
Example-
YES Votes
17 ABC
17 BCA
17 CAB
49 D
Some of the 49 D votes will presumably rank A, B or C in second place.
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