[EM] Markus, 2 March, 1349 GMT
MIKE OSSIPOFF
nkklrp at hotmail.com
Wed Mar 2 05:47:15 PST 2005
My FBC definition was quoted:
FBC:
>By voting a less-liked candidate over his/her favorite,
>a voter should never gain an outcome that he/she likes
>better than every outcome that he/she could get without
>voting a less-liked candidate over his/her favorite.
I comment:
For claritly, I´d to add something:
FBC:
There should never be a configuration of other people´s votes such that, by
voting a less-liked candidate over his/her favorite, a voter can gain an
outcome that s/he prefers to every outcome that s/he could get in that
election without voting a less/liked candidate over his/her favorite.
[end of FBC definition of 2 March ´05]
But, to emphasize better the purpose of FBC, it might be better to say:
FBC:
For any configuration of candidates and voters and for any particular one
of those voters, there should never be a possible configuration of other
voters´s votes such that that particular voter can achieve his/her best
outcome only by voting a less-liked candidate over his/her favorite.
A voter´s best outcome, with respect to a particular configuration of
candidates, voters, and other people´s votes, is an outcome that s/he
prefers to every one of the other outcomes that s/he could get, with that
configuration of candidates, voters, and other voters´s votes.
[end of FBC definition of 2 March, ´05, #2]
Yes, that definition is what I now mean by FBC. When I update the website,
that will be the FBC definition there, unless the website owner objects.
Markus said:
Suppose your sincere preference is A>B>C>D>E. Suppose in
situation #1,
I reply:
What do you mean by "situation"? Does your meaning for that term include the
votes as well as the candidates, voters, and voters´preferences? And, as
regards FBC, talking about who wins doesn´t mean much unless you´re saying
whether or not the voter can get his/her best possible result
without voting a less-liked candidate over his/her favorite.
Markus continues:
candidate A is elected with a probability of
60% and candidate B with a probability of 40%. Suppose in
situation #2, candidate A is elected with a probability of
70%, candidate B with a probability of 20%, and candidate C
with a probability of 10%. How does the used election method
know which situation you like better, when you can cast only
rankings and not ratings?
I reply:
I don´t understand what you´re trying to say, what your example means. But
I´ve never said that "the used method" should know what situation (?) you
like better. Check the definition of FBC, and you won´t find mention of
that.
Mike Ossipoff
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