[EM] Gerrymandering
Joe Weinstein
jweins123 at hotmail.com
Mon Mar 18 19:19:00 PST 2002
Short of forcing everyone into a single district, with resulting guaranteed
huge campaign costs for small parties or obscure candidacies, it's NOT
necessarily easier to maximize overall geographic fitness or 'utility' of an
apportionment scheme by using PR.
By the way, usual PR presumes that voters want to be proportionally
represented ONLY according to political party, not other criteria, including
geographic proximity. That's as mistaken as the present one-rep
one-locality fiasco. Also by the way, we would get much better 'PR' using
PAV applied to individual candidates, not parties.
Given a set of social and political and geographic criteria, including
district compactness - measured e.g. as Alex suggests or by sum of some
function of distance of each voter from a minimiziing 'central' point in
her/his district - it would probably be impossible even with current
computing power to choose the VERY best apportionment scheme.
However, each voter, or each of a large class of undeniable experts, could
each be allowed to nominate an apportionment scheme, and then computer
checking could verify which scheme among those nominated would be best or
near best. Or, a legislature or court would be mandated to choose from
among the top 100, or top 5, or maybe instead the top 1%, of the nominated
schemes.
----Original Message Follows----
From: "Alex Small" <asmall at physics.ucsb.edu>
Reply-To: election-methods-list at eskimo.com
To: <election-methods-list at eskimo.com>
Subject: Re:[EM] Gerrymandering
Date: Mon, 18 Mar 2002 18:42:56 -0800 (PST)
Probably the simplest measure I can think of, and the most easy to justify
(at least in a simple case) is the average perimeter of each district.
Simple case: Suppose that we have a square region with uniform population
density. Draw a straight line that divides it in half.
Here's an obvious gerrymander:
__________
| | |
| _ _| |
| /|_| |
| \ ____ |
| | | | |
| |_| _| |
|______|___|
(I don't know if I got the area exactly 50-50, but you get the point.)
Those two districts give a much higher average perimeter. Now, I realize
that people want districts to respect city and county lines, give fair
representation to ethnic minorities, represent distinct economic interests,
and solve every other problem under the sun, so maybe simple rectangles
aren't the best solution. But trying to solve all those problems with
single-member districts requires King Solomon. PR is much easier.
(Yes, I realize that I just preached to the choir.)
Alex Small
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