[EM] Median-based Proportional Representation

[Jameson Quinn]

2011/7/8 Warren Smith <warren.wds at gmail.com>

> Sorry, as Jameson pointed out, he has invented a voting method he calls
> AT-TV
> which (he claims)
>  1. obeys a proportional representation theorem


Yes. It's instructive to see what PR criterion AT-TV satisfies, and what RRV
satisfies.

The standard Droop criterion, if I'm not mistaken, is: If a group of N droop
quotas of voters votes a set of >N candidates above all other candidates,
then at least N candidates from that set must win.

The AT-TV version would be: If a group of N droop quotas of voters votes a
set of >N candidates at or above a given rating, and all other candidates
below that rating, then at least N candidates from that set will win.

The RRV version... well, I'm not sure, but my guess is that it would be
something like: If a group of N droop quotas of voters votes a set of >N
candidates each with at least N times the rating of any candidate outside
that set, then at least N candidates from that set must win.

Note that these are successively weaker criteria on the systems; that is,
the coordination of a given party must be successively stronger to ensure PR
for that party. Purely on a subjective level, I think that AT-TV criterion
is about right, and that the RRV one is too weak.

JQ
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