Thursday 18 February 2010

Freedom of Choice*

(*offer is limited to one free choice per customer per election. Other terms and conditions apply)

Ok, so last time I waffled about Simpsons Paradox, and how it can result in skew-if results. However, there's another significant implication of the whole dividing-and-counting-per-constituency malarkey that we've got going on, and that's wasted votes.

The way it works is like this: basically, either Labour or Conservative are going to get elected, and that's that: the chances of a hung parliament are slim enough to more-or-less ignore.

The result? Well, lets imagine a hypothetical situation in which someone dislikes Labour, and really wants to kick them out. Their preference would be for -- I dunno -- lets say Lib-Dem for the sake of example.

The person has TWO parts to their vote:

  1. Do not want Labour
  2. Do want Lib-Dem


Now, both parts would seemingly be satisfied by voting for Lib-Dem, but for the fact that Lib-Dem won't get elected, will they? So, in actual fact, because Lib-Dem have an appalling votes --> power conversion rate, and because the electoral system tends to grant a majority to either Labour or Conservatives thus rendering any power that the Lib-Dems actually get rather moot (Labour don't need to ally/co-operate with any other party, so the non-Labour MPs at the moment are collectively powerless), Lib-Dem's votes tend to be wasted and so voting for them strangely enough isn't actually a very good idea if you hold the above two objectives.

However, there is one -- and and only one -- alternative, and that is to treat a vote for the Conservative party as a vote for 'not Labour'. This is actually your only option if you hold the above objectives, as it at least accurately gets across the 'not Labour' part of your desires.


The system we have, therefore, limits our choices:

  • We can choose to be ruled by Labour or Conservative, but we can't choose any other party
  • We can choose on the issues that Labour and Conservative disagree on (right now, for example, electoral reform) but NOT on anything they agree on (they both want tax to stay the same? Then tax stays the same, and we have no say in the matter)
  • We can choose on one of the issues they disagree on: like Labour's environmental policies but the Conservatives' policy on crime? Tough, choose one and only one issue; choose Labour or Conservatives
  • We can choose between city and country: do you vote in your Labour MP who you think will do good for your city, or the Conservative MP that will help the Conservatives gain control of the country?


These issues all have something to do with the whole 'splitting country up into constituencies' thing: were it not for that, there'd be no wasted votes; no party would likely get a majority, forcing them to form alliances and thus making the votes/power of the parties that came in 3rd, 4th etc place still important and possibly the extra x% of the vote that an alliance need to form a majority; given this, there'd actually be the freedom to form and vote for new parties, thus allowing us a greater freedom of choice when it comes to who will represent us, and thus greater freedom to vote on a wider range of issues.

Or, in other words, there's no reason why someone couldn't start a party with Labour's environmental policies and the Conservatives' policies on crime, and then there'd be no reason not to vote for this party; if they don't 'win', that's ok, they can team up with Labour on environmental issues and the Conservatives on issues of law and order, so the fact they only got 5% of the national vote doesn't result in those votes being 'wasted'. At the moment, by making it all-or-nothing, any party that tries that will find no-one voting for them 'cos they don't want their votes to be wasted on a party that doesn't get elected (which of course will be because no-one votes for them... because they don't want their votes wasted on a party that won't get in because no-one's going to vote for them... etc.).

tl; dr?



The disproportionality of the electoral system results in 'wasted votes', and the 'fear' of wasting your vote stops you from voting for a party that's not likely to win, amplifying the disinclination of our electoral system to elect any party other than Lab' or Con'.

This drastically limits our choice, i.e. to Labour or Conservative; and in the issues that Lab' and Con' agree on, our choice is effectively non-existent. Which is hardly democratic.

Tuesday 9 February 2010

Simpsons Paradox

Electoral Systems 102: Divide and miscount

Another problem with our electoral system is Simpsons' Paradox.

In a nutshell, Simpsons Paradox is where you can divide a set of results into chunks, assess each chunk, and then combine the results of each assessment to draw a conclusion about the whole which disagrees with a direct assessment of the whole.

Or, in less confusing terms, it is how someone can come second in each leg of the tour-de-france yet still come 1st overall: as long as no-one consistantly comes 1st in each leg, the best overall cyclist may well be the one who was always 2nd. Yet, the fact that he came 2nd in each leg makes it appear as if he'd be overall 2nd...

It can occur in more confusing ways, too.

Lets devise an experiment to figure out who is harder: Charlie Chaplin or Mike Tyson?

The experiment can be that we will pit each of them against two opponents — Bruce Lee and a 10-year-old girl — and see who wins most.

Stupid? Yes, but the results are:

vs. 10-year-old girl:

Charlie does suprisingly poorly against the 10-year-old girl, who manages to win nearly half her bouts against him; Mike, tho, predictably wins all of his bouts against the girl. The results are so obvious that not many fights are neccesary to establish that Mike Tyson is harder than a 10-year-old girl:

Charlie Chaplin: 50/90
Mike Tyson: 10/10
WINNER: Tyson, with 100% victory vs. 10-year-old girl, against Charlie's 55%


Against Bruce Lee, Tyson manages to win some, but nonetheless Bruce Lee proves the stronger; Chaplin, again, gets his ass handed to him, but at least this time it's not by a 10-year-old girl:

Charlie Chaplin: 0/10
Mike Tyson: 35/90
WINNER: Tyson, with a 38% success rate vs. Lee, against Chaplin's 0%.

OVERALL WINNER: CHAPLIN.

eh?

Well, overall they both fought 100 fights: Chaplin won 50 of these, whilst Tyson won only 45, meaning that Chaplin wins more bouts, grabs the trophy and has proven himself in trial to be harder than Tyson, until Tyson decks him, grabs the trophy, and runs off shouting 'bloody Simpsons Paradox!'

Ok, that was all daft, but that's the essence of Simpsons Paradox. In this case, breaking the data down and assessing in chunks gives the correct interpretation (Tyson does best against a girl + Tyson does best against Lee = Tyson is better fighter), whilst in other times it can be the overall view that is correct whilst breaking it into chunks gives a false view.

A really quick example: this time, it's two fighters vs. Frank Bruno:

Trial one:

A: 65/100
B: 7/10
WINNER: B (70%, vs. A's 65%)

Trial two:

A: 4/10
B: 53/100
WINNER: B(53% vs. A's 40%)

OVERALL WINNER: A (69/110 vs. B's 60/110)

Unlike the first example, here the correct interpretation is the overall view, with the breaking-into-chunks-then-combining-results giving a false view.

So?



So our country is divided into constituencies. The votes are tallied per constituency, and then these results are combined to give the national result. This is the situation that you need for Simpsons Paradox to arise, and is how the Labour party managed to 'win' the last election with 55% of the power (i.e., majority control) with only 35% of the vote[1]; hell, on two occasions the 'winner' actually had less votes than the party that came second[2] (on one of those occasions, the winner had enough for a majority control, i.e. they were in charge), and also explains the huge disparity between how many votes Lib Dem get and how much power they end up with:



That first result is appauling: just over a quarter of the vote translating to just over a thirtieth of the power...

In fact, Gerrymandering (see previous post) is essentially an attempt to force Simpsons Paradox in order to grant yourself even more disproportionate power.

Tl; dr?



Dividing the country up into constituencies is the fundamental cause for the disproportionality of our voting system: it's what causes some parties to get more power than their vote-share indicates they deserve, whilst others get less; it's one of the main reasons why our electoral system is not fit-for-purpose.

One of the repercussions of this is that gerrymandering is possible (see last post); the other is 'wasted votes' and the repercussions of wasted votes (see next post?)

References



[1]
BBC News election scoreboard
356 seats for Labour = 356/646*100 = 55.1%

[2]
Wikipedia: Jan '10 election results
Wikipedia: Feb '74 election results

Wednesday 3 February 2010

Electoral Systems 101

The illusion of control

I had a post on the proposed Alternative Voting System, but it was too gargantuan for me to bother fact-checking, so I'm breaking it up into parts.

Gerrymandering



Gerrymandering is the act of changing constituency borders in order to change the result.

Simply illustrated, take the following group of people, geographically distributed with one blob of Conservative voters up north, and a blob of Labour voters down south:


CCCCC
CCCCC
CCCCC
CCCCC
CCLCC
CLCLC
LLCCL
LLCLL
LLLLL
LLLLL



Now lets see where the constituency boundaries are:


CCCCC
CCCCC 1 Conservative MP
CCCCC
----------- constituency boundary
CCCCC
CCLCC 1 Conservative MP
CLCLC
----------- constituency boundary
LLCCL
LLCLL 1 Labour MP
LLLLL
LLLLL

1 Labour
2 Conservative

"That's no good", think Labour, who happen to be in power; "lets change the boundaries":


CCCCC
CCCCC 1 Conservative MP
CCCCC
CCCCC
CCLCC
----------- constituency boundary
CLCLC
LLCCL 1 Labour MP
LLCLL
----------- constituency boundary
LLLLL
LLLLL 1 Labour MP


2 Labour
1 Conservative

Or simply:


CCCCC
CCCCC 1 Conservative MP
CCCCC
CCCCC
CCLCC
----------- constituency boundary
CLCLC
LLCCL
LLCLL 1 Labour MP
LLLLL
LLLLL

1 Labour
1 Conservative

Note that in neither case did the actual votes change, just the boundaries (and, thus, the number of MPs elected for each party).

It was apparently used a lot Northern Ireland, in an attempt to stifle separatist parties, and in the UK we have an allegedly indipendant boundaries commission to set the boundaries, supposedly to prevent gerrymandering.

Nonetheless, if you want people to assume they've got control and live in a democracy whilst still maintaining power yourself, gerrymandering should be in your vocabulary.

Monday 1 February 2010

It's ok to mention WikiLeaks

BBC/ITC don't care

http://illusionuk.blogspot.com/2010/01/free-speech.html

I said: Hell, it sounds like it forbids mentioning WikiLeaks on the telly, as that explains how to break the censorship laws

Nope.

WikiLeaks mentioned on the Culture Show on BBC-2.

At the very least for now, it's OK to mention WikiLeaks on the telly.