One thing I've found interesting is that a lot of people are talking about the Alternative Vote option in the forthcoming referendum as being an obvious choice due to being fairer. This is strange, because in itself it's no more fair on a constituency by constituency level than the existing 'most votes wins' system. In fact, no simple voting system can fulfill all the fairness criteria that exist, and this is mathematically proven, so it's always worth trying to understand the ways in which any new system can be unfair in ways that the previous system was not.

The UK is quite interesting in having 3 major parties, which is handy as it's with a 3 party system that you can most easily expose the flaws with a voting system. A common complaint with the current system is as follows: imagine 100 voters vote as follows: Conservative 35, Labour 33, Liberal 32. In the current situation, the Conservative candidate wins. Yet many would say that since the Labour and Liberal candidates have more similar policies (debatable right now, but that has historically often been the perception), the choice that would satisfy most people - up to 65 of them, maybe more if some Conservative voters are close to undecided - would be for either the Labour or Liberal candidate to be elected as a compromise choice. This is why Alternative Vote allows you to specify a second preference, and a third, etc., as an attempt to capture this sort of compromise. It also helps in that you can vote for a smaller party which is very unlikely to get elected, while still having some influence over the final result through your subsequent preferences. At the moment people are dissuaded from voting for the smaller party because they are unlikely to be elected and that vote is then 'lost' when it could have been spent more wisely in deciding a close contest between your 2nd choice and your 3rd or 4th choice (for example).

However. Imagine the voting went like this: Conservative 49, Labour 26, Liberal 25. Under the current system, the Conservatives win. Now take the Alternative Vote system, and the Liberal candidate is eliminated and anybody who voted for him or her gets their 2nd choice vote counted instead. If we continue to assume that Labour and Liberals both prefer each other to Conservatives, and that therefore the new result is Conservative 49, Labour 51, under AV the Labour candidate wins. Seems reasonable. Except what has happened here is that the Liberal voters have found that their 2nd preference votes are worth just as much as a Labour or Conservative 1st preference. That in itself seems unfair because the other voters haven't had their 2nd choice counted. Labour won't mind, as they've come off best. But what if you actually counted the Conservative 2nd choices, which have been ignored - they might be mostly Liberal! This is what the 'No to AV' campaigners mean when they say that some people's votes would count twice - the Liberal voters, perhaps knowing they were in 3rd place to begin with, got a 'free' vote. So, having established that a second choice can count for just as much as a first choice, how about we count everybody's first and second choices together? In this situation, now with 200 votes, you might get a score more like Conservative 49, Labour 51, Liberal 100. So the Liberals win.

One set of voting results, yielding 3 possible outcomes, all appearing fair in some sense and unfair in another.

Interestingly, the way "tactical voting" would operate under the Alternative Vote system is a bit different to now. Instead of deliberately picking your 2nd choice party if you think your 1st choice has no chance, people are best served by ordering their preferences from least likely to win to most likely - after all, if you back a winner from the start, your 2nd preference (and 3rd, and so on) are wasted, but if you back the first loser, your 2nd choice counts, then potentially your 3rd, all the way up. This means we're likely to see a lot more votes cast for fringe and extreme parties - what used to be just a protest vote will get augmented by the people who currently vote for the mainstream parties to avoid wasting their vote. This is good news for those who feel that the main 3 parties are not radical enough, but I think people might be dismayed when they see the strength of opinion on the far edges of political spectrum.

Choice?

Apr. 26th, 2010 01:44 pm
Well, for someone who's not going to vote in the forthcoming election, I've seen a fair bit of the local politicians - I talk to our local Conservative Party candidate most days of the week, and on Saturday I was round at the house of our Green Party candidate, cooking English steak on his barbecue in honour of St George. Let nobody say I'm not engaged with politics!

I'll probably say more about the party politics for this election at a later date when I've had a chance to read the manifestos - so far the only one I've read in its entirety is the SDLP's, strangely. The prospect of a hung Parliament is an interesting one, though. One interesting aspect of having a result that more proportionately represents the 'will' of the people is that you trade one type of 'unfairness' for another type - fewer people are completely disenfranchised, but the degree to which the others are enfranchised drops similarly. Instead of your party failing to get in and someone you don't like implementing policies you disagree with, the party you do like gets in and implements policies you don't agree with in order to prop up the coalition. If we don't trust politicians now, I expect we'll trust them even less after a few years of that sort of thing.

One argument against the current system tends to suggest that "if 66% of the population votes against the Conservatives and is split equally, the Conservatives still typically get in and that's not fair". The main error here - and one arguably made by Johann Hari's widely circulated essay recently - is that this characterises all votes as being either for the Conservatives or Anybody But The Conservatives - this may be true for a lot of people, especially younger voters I expect, but not all: in particular a sizeable number of Lib Dem voters would choose Conservative over Labour if the Liberals weren't likely to win in their area. Not the majority by any means, but a significant minority, enough to show it's not a simple Left vs Right issue, nor a case of 'splitting the Left's vote'. (In particular, talking about the 'liberal-left' is misleading anyway. Labour are Left but not very liberal, the Lib Dems are liberal but not very Left. Many key policies of the Left are fiercely illiberal anyway, in the classical sense.) Still, a three party system does always run this risk.

The second problem is when you take the share of the vote to represent a mandate to govern. The leader of the Liberal Democrats has been arguing recently that the party that comes 3rd in terms of the share of the popular vote has no such mandate - which is distinct from saying that the party placed 1st definitely has that mandate - a convenient distinction as he is reasonably hoping to lead the 2nd placed party. Why is 2nd ok but not 3rd? In countries with 4 or more major parties it's easy to see that the 3rd placed party might legitimately rule a coalition acceptable to the public: imagine an election where the results were Fascists 26%, Conservatives 24%, Social Democrats 24%, Communists 26%. The two middle parties working together could probably command a wider consensus than either of the extreme parties, despite individually polling fewer votes.

But given that we accept the share of the popular vote is important, if one party gets 49% support and the two others muster 26% and 25% between them, is it right for the latter two to form a government to implement a small subset of policies agreed on by 51% rather than a large set of policies agreed on by 49%? In practice this is unlikely to happen, but something with broadly similar proportions could. Is it more acceptable if the ratio was 47 / 27 / 26? What about 45 / 28 / 27? Or 41 / 30 / 29?

And no matter which voting system we might use to select our representatives, none of the ones currently on offer impose any sort of obligation on those representatives as to which people they form a governing coalition with. There's a lot of talk of a Liberal/Conservative coalition at the moment, mostly because Labour have treated the Liberals poorly over the last 13 years. But what of the roughly 50% of the Liberal voters who prefer Labour to the Conservatives - some of them might prefer to keep Labour in if that is their only way of keeping the Conservatives out. But they don't get a direct say in that, no matter whether we use First Past The Post, Alternative Vote Plus, or a fully proportional system. We know they prefer Liberal Democrats to Labour and Labour to Conservatives but we don't know the relative magnitudes of those preferences and the systems don't capture them. For those people, arguably their best option in each case is to vote tactically for the party most likely to beat the Conservatives, and that works best in the system which allows them to nullify as many Conservative votes as possible - ie. First Past The Post. So, if reflecting their wishes is how we judge fairness (and a wish can be as much about which policies you want to avoid as much as it is about who you wish to govern), under certain circumstances First Past The Post can actually become the most fair option. All ranking systems are flawed in some fundamental sense, and party politics bring this to the fore.

And even if we get past all this to forming a coalition that most people are not completely discontent with... chances are high that it'll fall apart before too long, as happens in Belgium every year or so (including last week). So maybe all this is irrelevant. :)
Today I bought home contents insurance. I think this marks a turning point in that it's the first time I've spent a significant amount of money on something where I know full well it is not worth what I paid for it. After all, that is the nature of insurance - highly qualified economists and statisticians and game theorists dedicate their careers to understanding the risks involved so that you are almost certainly assured of being financially worse off by buying insurance than you are by not buying it. Yet I'm doing it anyway, because I - like most irrational humans - am somewhat risk-averse.

I'd love to get over my irrational risk-aversion, and reading all about statistics and game theory is a start along that path. Also, blogs like 'Overcoming Bias' are impressively thought-provoking, though rather dry if you're not interested in the subject matter. And the BBC have recently touched upon how people are shockingly poor at understanding averages and statistics. Perhaps that's what you get when you raise a generation of kids who are seemingly proud to be stupid? (Or perhaps more accurately, ashamed to be seen as trying too hard to actually learn things.) It reminds me of the whole crime/fear of crime thing - crime is dropping year after year, but people's fear of crime is rising. People take extreme steps to avoid crime that are completely disproportionate to the chance of it happening, because they misjudge the risk. Seems a shame to think about how much people miss out on through over-caution.

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