Being unable to buy elections isn't a bug, it's a feature

"Markets in everything" can be taken too far.

Freakonomics co-author Steven Levitt blogs an idea which, frankly, demonstrates why we're pretty justified in keeping a sharp divide between economists and politicians:

In Glen’s voting mechanism, every voter can vote as many times as he or she likes. The catch, however, is that you have to pay each time you vote, and the amount you have to pay is a function of the square of the number of votes you cast. As a consequence, each extra vote you cast costs more than the previous vote. Just for the sake of argument, let’s say the first vote costs you $1. Then to vote a second time would cost $4. The third vote would be $9, the fourth $16, and so on. A person who cast four votes would have to pay a total of $30 (1+4+9+16=30). Twenty votes would cost $2,870. One hundred votes would cost you more than $300,000. Five hundred votes would cost more than $40 million. So eventually, no matter how much you like a candidate, you choose to vote a finite number of times.

What is so special about this voting scheme? People end up voting in proportion to how much they care about the election outcome. The system captures not just which candidate you prefer, but how strong your preferences are. Given Glen’s assumptions, this turns out to be Pareto efficient — i.e., no person in society can be made better off without making someone else worse off.

Levitt deals with some potential criticisms on his blog, but only in passing; and while he argues that there is support for the idea in a laboratory, the laboratory experiments didn't deal with the major problem with the idea in the real world, which is that when the difference in wealth spreads several orders of magnitude, it couldn't fail to give more voice to those with more wealth, especially when it comes to issues where the rich speak as one (like, perhaps, taxation of the wealthy).

In addition, the proposal is only examined from an economists point of view, when it is an area also well studied by political scientists. An important aspect of voting, for instance, is that while we may talk of "wasted" votes in majoritarian systems, very little has been actually wasted. If you have to buy votes, then "safe" constituencies would basically never change hands, as the minority party's turnout would collapse. That, in turn, would likely see the majority party's turnout also collapse, which could set up frankly strange chaotic cycles, especially in a three+ party system.

Levitt also mentions the prospect of fraud, but focuses on a strange aspect; the problem seems less to be that people would sell their votes, and more that a system set up to take multiple votes per person removes one hurdle to voter fraud that we have now.

Add to those problems the fact that the system as designed locks anyone out of the electoral process who doesn't have enough money to spare on it; that one-person-one-vote was always defended for philosophical, rather than practical, reasons; and that a far more serious problem with elections from the point of view of an economist is that being forced to communicate acceptance of a broad set of policies with only a yes or no answer to a question every five years is a stupidly inefficient way to gauge public preferences.

So: be glad economists don't run countries, only their money.

A woman votes in Florida. Hopefully, she didn't have to pay. Photograph: Getty Images

Alex Hern is a technology reporter for the Guardian. He was formerly staff writer at the New Statesman. You should follow Alex on Twitter.

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An Irish Sea border – and 3 other tricky options for Northern Ireland after Brexit

There is no easy option for Northern Ireland after Brexit. 

Deciding on post-Brexit border arrangements between Northern Ireland and the Irish Republic is becoming an issue for which the phrase "the devil is in the detail" could have been coined. Finding a satisfactory solution that delivers a border flexible enough not to damage international trade and commerce and doesn’t undermine the spirit, or the letter, of the Good Friday Agreement settlement is foxing Whitehall’s brightest.

The dial seemed to have settled on David Davis’s suggestion that there could be a "digital border" with security cameras and pre-registered cargo as a preferred alternative to a "hard border" replete with checkpoints and watchtowers.

However the Brexit secretary’s suggestion has been scotched by the new Irish foreign minister, Simon Coveney, who says electronic solutions are "not going to work". Today’s Times quotes him saying that "any barrier or border on the island of Ireland in my view risks undermining a very hard-won peace process" and that there is a need to ensure the "free movement of people and goods and services and livelihoods".

The EU’s chief Brexit negotiator, Michel Barnier, has made dealing with the Irish border question one of his top three priorities before discussions on trade deals can begin. British ministers are going to have to make-up their minds which one of four unpalatable options they are going to choose:

1. Hard border

The first is to ignore Dublin (and just about everybody in Northern Ireland for that matter) and institute a hard border along the 310-mile demarcation between Northern Ireland and the Irish Republic. Given it takes in fields, rivers and forests it’s pretty unenforceable without a Trump-style wall. More practically, it would devastate trade and free movement. Metaphorically, it would be a powerful symbol of division and entirely contrary to the spirit of the Good Friday Agreement. The Police Federation in Northern Ireland has also warned it would make police officers "sitting ducks for terrorists". Moreover, the Irish government will never agree to this course. With the EU in their corner, there is effectively zero chance of this happening.

2. Northern EU-land

The second option is to actually keep Northern Ireland inside the EU: offering it so-called "special status". This would avoid the difficulty of enforcing the border and even accord with the wishes of 56 per cent of the Northern Irish electorate who voted to Remain in the EU. Crucially, it would see Northern Ireland able to retain the £600m a year it currently receives from the EU. This is pushed by Sinn Fein and does have a powerful logic, but it would be a massive embarrassment for the British Government and lead to Scotland (and possibly London?) demanding similar treatment.

3. Natural assets

The third option is that suggested by the Irish government in the Times story today, namely a soft border with customs and passport controls at embarkation points on the island of Ireland, using the Irish Sea as a hard border (or certainly a wet one). This option is in play, if for no other reason than the Irish government is suggesting it. Again, unionists will be unhappy as it requires Britain to treat the island of Ireland as a single entity with border and possibly customs checks at ports and airports. There is a neat administrate logic to it, but it means people travelling from Northern Ireland to "mainland" Britain would need to show their passports, which will enrage unionists as it effectively makes them foreigners.

4. Irish reunification

Unpalatable as that would be for unionists, the fourth option is simply to recognise that Northern Ireland is now utterly anomalous and start a proper conversation about Irish reunification as a means to address the border issue once and for all. This would see both governments acting as persuaders to try and build consent and accelerate trends to reunify the island constitutionally. This would involve twin referendums in both Northern Ireland and the Republic (a measure allowed for in the Good Friday Agreement). Given Philip Hammond is warning that transitional arrangements could last three years, this might occur after Brexit in 2019, perhaps as late as the early 2020s, with interim arrangements in the meantime. Demographic trends pointing to a Catholic-nationalist majority in Northern Ireland would, in all likelihood require a referendum by then anyway. The opportunity here is to make necessity the mother of invention, using Brexit to bring Northern Ireland’s constitutional status to a head and deal decisively with the matter once and for all.

In short, ministers have no easy options, however time is now a factor and they will soon have to draw the line on, well, drawing the line.

Kevin Meagher is a former special adviser at the Northern Ireland Office and author of "A United Ireland: Why unification is inevitable and how it will come about"

Kevin Meagher is associate editor of Labour Uncut and a former special adviser at the Northern Ireland office.