[EM] Re: Hand counting election methods
gervase at group.force9.co.uk
Mon Nov 17 17:35:04 PST 2003
> Date: Mon, 17 Nov 2003 14:11:01 -0500
> From: Dave Ketchum <davek at clarityconnect.com>
> Subject: Re: [EM] Electronic Voting Bill of Rights?
> CONDORCET: Choices here also:
> Count as in Plurality? Tempting, since a majority winner would
> end the task.
That's it! You've reminded me of a way to do a Condorcet hand count.
An explanation follows, the logistics of which could be improved. For
brevity, I have not taken into account tied votes nor do I know how to
atm. I want to get to bed as soon as possible.
Suppose there are 10 candidates. Create 10 large teams. Each team
represents a candidate who was given the top rank. Each of the teams
obtain the relevant ballots. From this, you are now able to fill in a
large proportion of the pairwise matrix as you know that a top ranked
candidate is a beats all candidate.
Each large team has 9 sub-teams, the 9 being for each 2nd ranked
candidate. Each sub-team receives the ballots from its parent large team.
Again, from this, you are now able to fill in a large proportion of the
pairwise matrix, a part of which has already been filled in by the parent.
The 9 sub-teams each have 8 sub-teams etc, etc...
Therefore, you are able to complete a Condorcet hand count in N - 1
iterations, where N is the number of candidates.
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