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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In focusing on the famous few, we risk doing a disservice to all victims of child sexual abuse

There is a danger that we make it harder, not easier, for victims to come forward in future. 

Back in the 1970s when relations between journalists and police were somewhat different to today a simple ritual would be carried out around the country at various times throughout the week.

Reporters, eager for information for their regional newspaper, would take a trip to the local station and there would be met by a desk sergeant who would helpfully skim through details in the crime Incident Book.

Among the entries about petty thefts, burglaries and road accidents there would occasionally be a reference to an allegation of incest. And at this point the sergeant and journalist might well screw-up their faces, shake their heads and swiftly move on to the next log. The subject was basically taboo, seen as something ‘a bit mucky,’ not what was wanted in a family newspaper.

And that’s really the way things stayed until 1986 when ChildLine was set up by Dame Esther Rantzen in the wake of a BBC programme about child abuse. For the first time children felt able to speak out about being sexually assaulted by the very adults whose role in life was to protect them.

And for the first time the picture became clear about what incest really meant in many cases. It wasn’t simply a low level crime to be swept under the carpet in case it scratched people’s sensitivities. It frequently involved children being abused by members of their close family, repeatedly, over many years.

Slowly but surely as the years rolled on the NSPCC continued to press the message about the prevalence of child sexual abuse, while encouraging victims to come forward. During this time the corrosive effects of this most insidious crime have been painfully detailed by many of those whose lives have been derailed by it. And of course the details of the hundreds of opportunistic sexual assaults committed by Jimmy Savile have been indelibly branded onto the nation’s consciousness.

It’s been a long road - particularly for those who were raped or otherwise abused as children and are now well into their later years - to bring society around to accepting that this is not to be treated as a dark secret that we really don’t want to expose to daylight. Many of those who called our helpline during the early days of the Savile investigation had never told anyone about the traumatic events of their childhoods despite the fact they had reached retirement age.

So, having buried the taboo, we seem to be in danger of giving it the kiss of life with the way some cases of alleged abuse are now being perceived.

It’s quite right that all claims of sexual assault should be investigated, tested and, where there is a case, pursued through the judicial system. No one is above the law, whether a ‘celebrity’ or a lord.

But we seem to have lost a sense of perspective when it comes to these crimes with vast resources being allocated to a handful of cases while many thousands of reported incidents are virtually on hold.

The police should never have to apologise for investigating crimes and following leads. However, if allegations are false or cannot be substantiated they should say so. This would be a strength not a weakness.

It is, of course, difficult that in many of the high-profile cases of recent times the identities of those under investigation have not been officially released by the police but have come to light through other means. Yet we have to deal with the world as it is not as we wish it would be and once names are common knowledge the results of the investigations centring on them should be made public.

When it emerges that someone in the public eye is being investigated for non-recent child abuse it obviously stirs the interest of the media whose appetite can be insatiable. This puts pressure on the police who don’t want to repeat the mistakes of the past by allowing offenders to slip through their hands.  And so there is a danger, as has been seen in recent cases, that officers lack confidence in declaring there is a lack of evidence or the allegations are not true. 

The disproportionate weight of media attention given to say, Sir Edward Heath, as opposed to the Bradford grooming gang sentenced this week, shows there is a danger the pendulum is swinging too far the other way. This threatens the painstaking work invested in ensuring the public and our institutions recognise child abuse as a very real danger. 

Whilst high profile cases have helped the cause there is now a real risk that the all-encompassing focus on them does both victims of abuse and those advocating on their behalf a fundamental disservice.

As the public watches high -profile cases collapsing amidst a media fanfare genuine convictions made across the country week in week out go virtually unannounced. If this trend continues they may start to believe that child sexual abuse isn’t the prolific problem we know it to be.

So, while detectives peer into the mists of time, searching for long lost clues, we have to face the unpalatable possibility that offences being committed today will in turn only be investigated fully in years or decades' time because there is not the manpower to deal with them right now.

So, now the Goddard Inquiry is in full swing, taking evidence about allegations of child sex crimes involving ‘well known people’ as well as institutional abuse, how do we ensure we don’t fail today’s victims?

If they start to think their stories are going to be diminished by the continuing furore over how some senior public figures have been treated by the police they will stay silent. Therefore we have to continue to encourage them to come forward, to give them the confidence of knowing they will be listened to.

If we don’t we will find ourselves back in those incestuous days where people conspired to say and do nothing to prevent child abuse.

Peter Wanless is Chief Executive of the NSPCC.