Thursday 25 July 2013

Rationality and Failing Economics


Do you prefer A or B in each of the following:

(1)  A: 61% chance of winning £5,200 or B: 63% chance of winning £5,000
(2)  A: 98% chance of winning £5,200 or B: 100% chance of winning £5,000

Social sciences evolve over time and Economics is no exception. Being a subjective discipline in many respects, economic theory is constantly being created, modified, rejected and accepted. Theories that were widely accepted for centuries can be discredited by a new data set and entire new sub-disciplines can develop from a single publication.

I therefore find it astonishing that Economics is so resistant to changes at its very core. Economists refuse to budge when it comes to criticisms of the foundations of the discipline, even in the face of damning evidence. At the very centre of most economic theory sits two things: Expected Utility Theory and a concept of rationality, both of which are fundamentally flawed. Even in the presence of overwhelming, undeniable evidence, these two theories form the basis of most economic theory. Undergraduates are still taught the subject using these concepts as the building blocks for the rest of their course.

Expected Utility theory is about decision making. It posits that humans are risk averse and that their “utility” (or happiness) directly depends on their level of wealth. It argues, quite sensibly, that every additional pound you earn adds less to your happiness than the last pound. This is intuitive, £100 to £101 has a larger marginal effect on your happiness than £1000 to £1001.  Rational choice theory views people as selfish, materially interested agents that maximize their utility. A rational person can consume all relevant information and accurately assess their costs and benefits to make decisions. Most importantly, people make consistent choices. Agents understand their preferences and can aptly make decisions. If an individual prefers ice creams to chocolates and chocolates to fruit then he certainly prefers ice creams to fruit.

Obviously this is an unrealistic view of human nature and economists use these as simplifying assumptions in their models to understand human behaviour. Unfortunately this one-size-fits-all ideal is unrealistic. They study “Econs” and not Humans. Of course it makes sense to assume a Human makes consistent choices, but any exceptions to the rule are labeled as irrational and subsequently ignored. Instead, Economics needs to start studying Humans and adapt their definition of rationality accordingly.

Many economists have challenged the status quo over the last century. Behavioural Economics is a sub-subsection of subject that uses psychology in conjunction with economic theory. For example, experiments have shown that a Human’s utility does not depend on the level of their wealth but on changes in their wealth. This seems obvious. A millionaire would definitely be more disappointed to find his wealth stood at half a million than a individual who was previously bankrupt.

What fascinates me the most is that Behavioural economists have highlighted many flaws to the convention yet the discipline is still resistant to change. All exceptions to the rule or predictable irrationalities are simply banished to the sub-discpline of Behavioural Economics.  This is the equivalent of a mathematician using the rule that 2+2=5 in all of her calculations and then adding a footnote that says in fact 2+2 may actually equal 4. Economists prefer to assume their concept of “rationality” and analyse what would happen in an ideal world where the oddities of inconsistency do not exist.

Having read Daniel Kahneman’s ‘Thinking Fast and Slow’ I have been enriched with examples that leave economists dumfounded. Many of the examples below are directly from his book, which I strongly recommend.

Allais Paradox

I gave you a question at the start of this article. If you are like most people then you chose A in (1) and B in (2). You probably thought I might as well go for the higher amount in (1), after all there is only a 2% difference in chance. However, in (2), I can have £5,000 with certainty so why risk the gamble at all? This logic seems incredibly fair, but it is completely irrational according to economists. The reason being that the chances of winning both prizes have increased by the same amount (37%) in both cases. If you preferred A in (1) then a consistent choice would be A in (2).  The chance of winning the larger amount has increased by the same percentage as the smaller amount, so why switch to the smaller amount?

Behavioural economists associate this irregularity with the effect of certainty and regret. Humans wildly underestimate high probabilities in the presence of certainty. The weight people place on the 2% difference in each case is much larger in question (2). Furthermore, the regret effect would not be present in (1). If you win nothing in (2) by choosing to gamble you would probably kick yourself for taking the risk at all. The decisions most people make are of course inconsistent but I would not describe what the majority do here as irrational. They did not fit the rule because the rule does not consider the effect of certainty and emotions. The rule needs to change. This famous example shocked economists when first introduced, but once again, was written off as an unusual exception to consistent behaviour.

Interestingly, at the other end of the spectrum, the idea of overweighting small odds explains why a lot of people play the lottery and gamble. When the probability of something increases from 0% to 1%, there is a possibility effect. Humans tend to overweigh the 1% and this leads to risk seeking behaviour. For example, if I gave you the choice between simply taking £500 now or a gamble that offers you 50-50 odds on winning £1000 or nothing, then being risk averse, you will probably choose the certain £500. However, if I lowered the odds, and offered you £10 with certainty or a 1% chance of £1000, you will almost definitely take on the gamble. But in both cases, the gamble and certainty have the same expected value and a risk averse individual should always prefer the certain money. The possibility of the large prize and the smaller certain amount leads to inconsistency (you’re a Human, not an Econ!).

Linda & Karl

My favourite example that perfectly illustrates a human’s capacity to be completely illogical is taken straight from Kahneman’s book. Consider the fictional character Linda below:

Linda is 31 years old, single, outspoken, and very bright. She majored in philosophy. As a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations.

Given the description, now rank the following scenarios in order of likelihood:

1)    Linda is a teacher in elementary school
2    Linda is part of a feminist movement
3)    Linda is an investment banker
4)    Linda is social worker
5)    Linda is an investment banker and part of a feminist movement

Given her description, most people would not be surprised if Linda were a social worker, part of a feminist movement or even a teacher and these are usually ranked very highly. The study investigates the other two scenarios (3&5). Most respondents thought it very unlikely that Linda was an investment banker. They were more likely to believe that Linda was an investment banker and part of a feminist movement, which at least agrees with part of her description. If you were like 90% of the respondents, you would have ranked 5 above 3. 

For those of you who understand Venn diagrams, you may have already guessed this is utterly illogical. All investment bankers who are also part of feminist movement wholly belong to the set of investment bankers. No individual can apply to scenario 5 without applying to scenario 3 whereas there are obviously investment bankers who are not part of a feminist movement. The probability of 3 is without question larger than 5 regardless of the description.  This is an obvious failure of human reasoning but it is widespread. Humans tend to focus on the representativeness of the situation rather than statistics. Statistics and logical thinking take time and the law of least effort will force you to jump to the illogical conclusion with confidence. Of course at closer look, it is absurd to rank 5 above 3.

A similar failure to focus on statistics is of Karl who lives in the US:

Karl is very shy and withdrawn, invariably helpful but with little interest in people or in the world of reality. A meek and tidy soul, he has a need for order and structure, and a passion for detail.

Is Karl more likely to be a librarian or farmer?

An intuitive answer jumps straight for librarian. The description fits the stereotype. Yet people fail to factor in the base statistics. There are 20 male farmers for every librarian in the US. Even if you believe that the description above is 20 times more likely to represent a librarian than a farmer, you should still choose a farmer. An Econ would have used this thought process. However, you did not consider the base statistics, even if you knew them, because Humans prefer to focus on the fitting story of representativeness whilst statistics fall by the wayside.

Framing

There is a disease that will kill 600 people in the next year. The government has two options:

A)    If they adopt procedure A, 200 lives will be saved
B)    If they adopt procedure B, there is a one-third probability that 600 people will be saved and a two-third probability nobody will be saved

The expected value of saved lives in both procedures is 200, but most people prefer not to take the gamble and choose procedure A. There is an aspect of regret if B is chosen and an effect of certainty in procedure A. However, when the procedures are reworded and presented to another group the results are startling:

A)    If they adopt procedure A, 400 people will die
B)    If they adopt procedure B, there is a one-third probability that nobody will die and a two-third probability that 600 people will die

The procedures have not changed but they have been ‘framed’ differently. If you are like most of the respondents, you probably will prefer the gamble this time. The effect of regret disappears as option A is now guaranteeing a certainty of deaths rather than lives saved. This is completely inconsistent. Economics cannot deal with emotions like this. When the two groups are shown the other frame, most people struggle to decide which procedure to choose. Which one would you choose given both frames? Framing is important in reality which is why many food manufacturers write “90% fat free” rather than “10% fat” or why a doctor will tell you there is a “95% survival rate” rather than a “5% mortality rate.” Framing also occurs when using numbers instead of percentages. A dog rescue appeal will not tell you that 0.1% of dogs are neglected but will instead say that 1 dog in 1,000 are left neglected. It invokes an image of a single neglected dog and has been proven to raise larger donations.

Regression to the mean

Humans fail to understand how important luck is in our lives, something an Econ would never do. In an Israeli army training camp that Kahneman visited, the captain was adamant that it was better to shout at an officer who had performed terribly rather than praise an officer who had been exceptional. He had found that those he shouted always performed better next time round and those he praised always did worse. This was a gold mine for Kahneman.

The captain had made up a casual story in his head that somehow praise lead to complacency and aggression instilled a fear of repetition. However, the results he found can be simply explained by statistics. There are two things involved in performance: skill and luck. There is no doubt that skills are involved when an officer performs well, but unless that officer is consistently exceptional, there is always a large amount of good luck involved. Therefore, when he praised an outstanding officer whose performance subsequently dropped, this was not due to complacency, but due to less luck and the same amount of skill. In mathematical terms, this officer had regressed towards the mean (moving towards his average). When the captain shouted at recruits and they subsequently improved, this is because they had better luck and the same skill the following time. They regressed towards the mean once again. Of course skill is important but people rarely put enough weight on the value of luck.

Anchors

Was Ghandi older than 35 years old when he died?
How old was Ghandi when he died?

Answer the above questions and note your answer. Unless you know the answer for sure, the first question almost certainly affected the second answer. If the first question had been was Ghandi younger than 130 years old when he died, your answer would have almost certainly been higher for the second question. The first question should have no importance on the second but your mind was anchored to 35. It has been shown that people tend to focus on the arbitrary number provided and move away from it until they find a sensible answer. Anchoring is a clever negotiation technique used by firms, unions and governments.

Time to change

Expected Utility theory and rational choice theory isn’t all bad. It provides a framework for the discipline and has some intuitive suggestions. It provides a base for theoretical work in which we can slowly adjust assumptions to reach realistic conclusions. Economics needs a base and it is unrealistic to incorporate all human “irrationality” into every model.

However, there are some instances, as described above, that are so predictably irrational that it is absurd not to adapt our baseline. Given the overwhelming evidence, only some of which I have summarised here, surely it is time for Economics to incorporate Humans, even slightly, into their model of rationality. It is no longer acceptable to label the inconsistent majority as irrational. Economics is a study of human behaviour and economists must realise that Econs differ from Humans in many respects. As Ariely once said, Economics “makes the man fit the model rather than the other way around.” It is time for this to change.