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.

Photo: Getty Images
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What do Labour's lost voters make of the Labour leadership candidates?

What does Newsnight's focus group make of the Labour leadership candidates?

Tonight on Newsnight, an IpsosMori focus group of former Labour voters talks about the four Labour leadership candidates. What did they make of the four candidates?

On Andy Burnham:

“He’s the old guard, with Yvette Cooper”

“It’s the same message they were trying to portray right up to the election”​

“I thought that he acknowledged the fact that they didn’t say sorry during the time of the election, and how can you expect people to vote for you when you’re not actually acknowledging that you were part of the problem”​

“Strongish leader, and at least he’s acknowledging and saying let’s move on from here as opposed to wishy washy”

“I was surprised how long he’d been in politics if he was talking about Tony Blair years – he doesn’t look old enough”

On Jeremy Corbyn:

"“He’s the older guy with the grey hair who’s got all the policies straight out of the sixties and is a bit of a hippy as well is what he comes across as” 

“I agree with most of what he said, I must admit, but I don’t think as a country we can afford his principles”

“He was just going to be the opposite of Conservatives, but there might be policies on the Conservative side that, y’know, might be good policies”

“I’ve heard in the paper he’s the favourite to win the Labour leadership. Well, if that was him, then I won’t be voting for Labour, put it that way”

“I think he’s a very good politician but he’s unelectable as a Prime Minister”

On Yvette Cooper

“She sounds quite positive doesn’t she – for families and their everyday issues”

“Bedroom tax, working tax credits, mainly mum things as well”

“We had Margaret Thatcher obviously years ago, and then I’ve always thought about it being a man, I wanted a man, thinking they were stronger…  she was very strong and decisive as well”

“She was very clear – more so than the other guy [Burnham]”

“I think she’s trying to play down her economics background to sort of distance herself from her husband… I think she’s dumbing herself down”

On Liz Kendall

“None of it came from the heart”

“She just sounds like someone’s told her to say something, it’s not coming from the heart, she needs passion”

“Rather than saying what she’s going to do, she’s attacking”

“She reminded me of a headteacher when she was standing there, and she was quite boring. She just didn’t seem to have any sort of personality, and you can’t imagine her being a leader of a party”

“With Liz Kendall and Andy Burnham there’s a lot of rhetoric but there doesn’t seem to be a lot of direction behind what they’re saying. There seems to be a lot of words but no action.”

And, finally, a piece of advice for all four candidates, should they win the leadership election:

“Get down on your hands and knees and start praying”

Stephen Bush is editor of the Staggers, the New Statesman’s political blog.