[EM] Progress on strong FBC

[James Gilmour]

Alex wrote:
>
> First, two definitions:
>
> Monotonic:  A method is monotonic if
> 1.  A group of voters with identical preference orders, all following the
> same strategy, can never cause a winning candidate to lose by insincerely
> ranking him higher and holding constant the relative rankings of the other
> candidates.
> and
> 2.  A group of voters with identical preferences orders, all following the
> same strategy, can never cause a losing candidate to win by insincerely
> ranking him lower and holding constant the relative rankings of the other
> candidates.
>


I don't think monotonicity is very important in the overall scheme of things (we
have far bigger problems to worry about), but ...

1.  surely a method is non-monotonic if ONE voter can cause these effects, ie it
does not need to be "a group of voters".

2.   insincerity is irrelevant to the determination of monotonicity.  It does not
matter why the voter changed his or her preference.  If gaining more higher
preferences in a subsequent election causes a previous winner to loose, the method
is non-monotonic.  Voter motivation has nothing to do with it.

James

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