Trading kidneys, repugnant markets and stable marriages win the Nobel Prize in Economics

Roth and Shapley charted a course for economists to go beyond simply arguing for markets in everything.

The 2012 Nobel Prize in Economics - technically the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel, but nobody cares - has been awarded to two American Economists, Alvin Roth and Lloyd Shapley "for the theory of stable allocations and the practice of market design". The Nobel Committee explains what that means:

This year's Prize concerns a central economic problem: how to match different agents as well as possible. For example, students have to be matched with schools, and donors of human organs with patients in need of a transplant. How can such matching be accomplished as efficiently as possible? What methods are beneficial to what groups? The prize rewards two scholars who have answered these questions on a journey from abstract theory on stable allocations to practical design of market institutions.

Lloyd Shapley used so-called cooperative game theory to study and compare different matching methods. A key issue is to ensure that a matching is stable in the sense that two agents cannot be found who would prefer each other over their current counterparts. Shapley and his colleagues derived specific methods – in particular, the so-called Gale-Shapley algorithm – that always ensure a stable matching. These methods also limit agents' motives for manipulating the matching process. Shapley was able to show how the specific design of a method may systematically benefit one or the other side of the market.

Alvin Roth recognized that Shapley's theoretical results could clarify the functioning of important markets in practice. In a series of empirical studies, Roth and his colleagues demonstrated that stability is the key to understanding the success of particular market institutions. Roth was later able to substantiate this conclusion in systematic laboratory experiments. He also helped redesign existing institutions for matching new doctors with hospitals, students with schools, and organ donors with patients. These reforms are all based on the Gale-Shapley algorithm, along with modifications that take into account specific circumstances and ethical restrictions, such as the preclusion of side payments.

Even though these two researchers worked independently of one another, the combination of Shapley's basic theory and Roth's empirical investigations, experiments and practical design has generated a flourishing field of research and improved the performance of many markets. This year's prize is awarded for an outstanding example of economic engineering.

The committee have yet again reaffirmed the old adage that the most important thing to do when trying for a nobel prize is to live long enough that your achievements are recognised. The Gale-Shapley algorithm, for instance, was devised in 1962, when Lloyd Shapley was 34. It concerns a maths problem known as the stable marriage problem: if you have an even number of men and women, can you always come up with a set of marriages where there are no two people of opposite sex who would both rather have each other than their current partners? (1960s maths problems: usually heteronormative.) If you can, then the marriage is "stable".

The Gale-Shapley algorithm is a way of always ensuring stable matches; and much of Shapley's work covers the same areas, straddling the boundaries between economics, mathematics, and computer science.

Roth is the younger of the two winners, and works in a far more empirical sphere. As the committee points out, although the two men never actually collaberated, Roth took Shapley's theoretical work and applied it to actually existing markets. For instance, Roth used the Gale-Shapley agorithm to ease the kidney shortage in the US. David Wessel explains (£):

As of noon yesterday, 58,470 people in the U.S. were waiting for a kidney transplant. Most won't get one this year. There aren't enough donated kidneys to go around. Surgeons transplanted just 15,129 kidneys last year. Now a band of transplant surgeons and economists are trying to fix that by creating a moneyless market for exchanging kidneys. Most transplanted kidneys come from a person who has died, a supply that grows slowly because of ignorance about the need for donations or grieving relatives' reluctance. But a kidney taken from a live donor works better, and almost everyone has a spare. As techniques improve for removing healthy kidneys and for suppressing the body's tendency to reject a transplant, doctors increasingly turn to kidneys from living donors, usually relatives. Last year, 43% of kidneys transplanted in the U.S. came from living donors, up from 28% a decade ago. But a biological barrier often blocks a transplant from a relative. In about a third of all would-be pairs, blood types are incompatible. In others, the sick person has antibodies that can initiate a rejection of the donated organ. It's heartbreaking "to have the treasure of the live donor and then have that not go forward because of a biological obstacle," says Massachusetts General Hospital transplant surgeon Francis DelMonico.

Occasionally, transplant centers spot a way out: One New England father with blood type A couldn't donate a kidney to his daughter with blood type B. So he gave a kidney to a teenager with blood type A, and the teenager's sister gave a kidney for the man's daughter. New England's transplant centers have done six such exchanges. Baltimore's Johns Hopkins University has done seven.

The crucial thing about Roth's work, from an economic point of view, is that it involves finding stable allocations using market-like situations without involving money. The kidney swaps in the New England situation are market-like, trading kidneys for kidneys in a way that makes all parties better-off, but they don't actually require kidneys to be bought and sold.

We can see the importance of this by looking at another paper of Roth's, not cited by the committee, on repugnance in markets (pdf). Roth demonstrates that some markets are limited because the very existance of a market in some goods is considered repugnant. He argues, for instance, that the trade in horse meat being banned in California is not done through fears that eating horse meat is unsafe; nor is it done for animal welfare reasons, since it is still legal to farm and kill horses. But banned it is, and Roth argues that the natural response of economists to situations of this type - to argue for freer markets - is wrong, since it ignores the very strong feelings involved in the situation. Instead:

Being aware of the sources of repugnance can only help make such discussions more productive, not least because it can help separate the issues that are fundamentally empirical—like the degree of crowding out of altruistic donations that might result from different incentive schemes compared to how much new supply might be produced—from areas of disagreement that are not primarily empirical.

Hopefully his new Nobel Prize should give that argument greater weight in the years ahead.

A patient receives a kidney in Johns Hopkins university in Baltimore. 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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Hillary Clinton can take down the Donald Trump bogeyman - but she's up against the real thing

Donald Trump still has time to transform. 

Eight years later than hoped, Hillary Clinton finally ascended to the stage at the Democratic National Convention and accepted the nomination for President. 

Like her cheerleaders, the Obamas, she was strongest when addressing the invisible bogeyman - her rival for President, Donald Trump. 

Clinton looked the commander in chief when she dissed The Donald's claims to expertise on terrorism. 

Now Donald Trump says, and this is a quote, "I know more about ISIS than the generals do"

No, Donald, you don't.

He thinks that he knows more than our military because he claimed our armed forces are "a disaster."

Well, I've had the privilege to work closely with our troops and our veterans for many years.

Trump boasted that he alone could fix America. "Isn't he forgetting?" she asked:

Troops on the front lines. Police officers and fire fighters who run toward danger. Doctors and nurses who care for us. Teachers who change lives. Entrepreneurs who see possibilities in every problem.

Clinton's message was clear: I'm a team player. She praised supporters of her former rival for the nomination, Bernie Sanders, and concluded her takedown of Trump's ability as a fixer by declaring: "Americans don't say: 'I alone can fix it.' We say: 'We'll fix it together.'"

Being the opposite of Trump suits Clinton. As she acknowledged in her speech, she is not a natural public performer. But her cool, policy-packed speech served as a rebuke to Trump. She is most convincing when serious, and luckily that sets her apart from her rival. 

The Trump in the room with her at the convention was a boorish caricature, a man who describes women as pigs. "There is no other Donald Trump," she said. "This is it."

Clinton and her supporters are right to focus on personality. When it comes to the nuclear button, most fair-minded people on both left and right would prefer to give the decision to a rational, experienced character over one who enjoys a good explosion. 

But the fact is, outside of the convention arena, Trump still controls the narrative on Trump.

Trump has previously stated clearly his aim to "pivot" to the centre. He has declared that he can change "to anything I want to change to".  In his own speech, Trump forewent his usual diatribe for statistics about African-American children in poverty. He talked about embracing "crying mothers", "laid-off factory workers" and making sure "all of our kids are treated equally". His wife Melania opted for a speech so mainstream it was said to be borrowed from Michelle Obama. 

His personal attacks have also narrowed. Where once his Twitter feed was spattered with references to "lying Ted Cruz" and "little Marco Rubio", now the bile is focused on one person: "crooked Hillary Clinton". Just as Clinton defines herself against a caricature of him, so Trump is defining himself against one of her. 

Trump may not be able to maintain a more moderate image - at a press conference after his speech, he lashed out at his former rival, Ted Cruz. But if he can tone down his rhetoric until November, he will no longer be the bogeyman Clinton can shine so brilliantly against.