[EM] electing a variable number of seats

[Jameson Quinn]

2011/5/18 <fsimmons at pcc.edu>

> Yes, I do think the non-sequential version of RRV for sufficiently large
> numbers of winners (with repeated wins allowed) is equivalent to the
> Ultimate Lottery.
>
> The Ultimate Lottery is the lottery that maximizes the product of ballot
> expectations, or equivalently the one that maximizes the sum of the logs of
> the ballot expectations.
>
> The non-sequential version of RRV basically picks the subset of candidates
> that maximizes the sum (over the ballots) of the logs of the sums (plus
> epsilon to avoid the log of zero)) of the ballot ratings of the candidates
> in the subset.
>
>
Wait a minute.... so under non-sequential RRV, there is no "leftover Hare
quota" of unrepresented voters? If 99 voters vote A100 B99 and one voter
votes C100, then C will be in the 2-member parliament? That seems broken.

JQ
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