Month: July 2021

Escaping the wrong side of the Yerkes-Dodson curve

PNRJ cognitive science, heuristics and biases, personal , , , , , , ,

Jul 25 JDN 2459421

I’ve been under a great deal of stress lately. Somehow I ended up needing to finish my dissertation, get married, and move overseas to start a new job all during the same few months—during a global pandemic.

A little bit of stress is useful, but too much can be very harmful. On complicated tasks (basically anything that involves planning or careful thought), increased stress will increase performance up to a point, and then decrease it after that point. This phenomenon is known as the Yerkes-Dodson law.

The Yerkes-Dodson curve very closely resembles the Laffer curve, which shows that since extremely low tax rates raise little revenue (obviously), and extremely high tax rates also raise very little revenue (because they cause so much damage to the economy), the tax rate that maximizes government revenue is actually somewhere in the middle. There is a revenue-maximizing tax rate (usually estimated to be about 70%).

Instead of a revenue-maximizing tax rate, the Yerkes-Dodson law says that there is a performance-maximizing stress level. You don’t want to have zero stress, because that means you don’t care and won’t put in any effort. But if your stress level gets too high, you lose your ability to focus and your performance suffers.

Since stress (like taxes) comes with a cost, you may not even want to be at the maximum point. Performance isn’t everything; you might be happier choosing a lower level of performance in order to reduce your own stress.

But once thing is certain: You do not want to be to the right of that maximum. Then you are paying the cost of not only increased stress, but also reduced performance.

And yet I think many of us spent a great deal of our time on the wrong side of the Yerkes-Dodson curve. I certainly feel like I’ve been there for quite awhile now—most of grad school, really, and definitely this past month when suddenly I found out I’d gotten an offer to work in Edinburgh.

My current circumstances are rather exceptional, but I think the general pattern of being on the wrong side of the Yerkes-Dodson curve is not.

Over 80% of Americans report work-related stress, and the US economy loses about half a trillion dollars a year in costs related to stress.

The World Health Organization lists “work-related stress” as one of its top concerns. Over 70% of people in a cross-section of countries report physical symptoms related to stress, a rate which has significantly increased since before the pandemic.

The pandemic is clearly a contributing factor here, but even without it, there seems to be an awful lot of stress in the world. Even back in 2018, over half of Americans were reporting high levels of stress. Why?

For once, I think it’s actually fair to blame capitalism.

One thing capitalism is exceptionally good at is providing strong incentives for work. This is often a good thing: It means we get a lot of work done, so employment is high, productivity is high, GDP is high. But it comes with some important downsides, and an excessive level of stress is one of them.

But this can’t be the whole story, because if markets were incentivizing us to produce as much as possible, that ought to put us near the maximum of the Yerkes-Dodson curve—but it shouldn’t put us beyond it. Maximizing productivity might not be what makes us happiest—but many of us are currently so stressed that we aren’t even maximizing productivity.

I think the problem is that competition itself is stressful. In a capitalist economy, we aren’t simply incentivized to do things well—we are incentivized to do them better than everyone else. Often quite small differences in performance can lead to large differences in outcome, much like how a few seconds can make the difference between an Olympic gold medal and an Olympic “also ran”.

An optimally productive economy would be one that incentivizes you to perform at whatever level maximizes your own long-term capability. It wouldn’t be based on competition, because competition depends too much on what other people are capable of. If you are not especially talented, competition will cause you great stress as you try to compete with people more talented than you. If you happen to be exceptionally talented, competition won’t provide enough incentive!

Here’s a very simple model for you. Your total performance p is a function of two components, your innate ability aand your effort e. In fact let’s just say it’s a sum of the two: p = a + e

People are randomly assigned their level of capability from some probability distribution, and then they choose their effort. For the very simplest case, let’s just say there are two people, and it turns out that person 1 has less innate ability than person 2, so a1 < a2.

There is also a certain amount of inherent luck in any competition. As it says in Ecclesiastes (by far the best book of the Old Testament), “The race is not to the swift or the battle to the strong, nor does food come to the wise or wealth to the brilliant or favor to the learned; but time and chance happen to them all.” So as usual I’ll model this as a contest function, where your probability of winning depends on your total performance, but it’s not a sure thing.

Let’s assume that the value of winning and cost of effort are the same across different people. (It would be simple to remove this assumption, but it wouldn’t change much in the results.) The value of winning I’ll call y, and I will normalize the cost of effort to 1.


Then this is each person’s expected payoff ui:

ui = (ai + ei)/(a1+e1+a2 + e2) V – ei

You choose effort, not ability, so maximize in terms of ei:

(a2 + e2) V = (a1 +e1+a2 + e2)2 = (a1 + e1) V

a1 + e1 = a2 + e2

p1 = p2

In equilibrium, both people will produce exactly the same level of performance—but one of them will be contributing more effort to compensate for their lesser innate ability.

I’ve definitely had this experience in both directions: Effortlessly acing math tests that I knew other people barely passed despite hours of studying, and running until I could barely breathe to keep up with other people who barely seemed winded. Clearly I had too little incentive in math class and too much in gym class—and competition was obviously the culprit.

If you vary the cost of effort between people, or make it not linear, you can make the two not exactly equal; but the overall pattern will remain that the person who has more ability will put in less effort because they can win anyway.

Yet presumably the amount of effort we want to incentivize isn’t less for those who are more talented. If anything, it may be more: Since an hour of work produces more when done by the more talented person, if the cost to them is the same, then the net benefit of that hour of work is higher than the same hour of work by someone less talented.

In a large population, there are almost certainly many people whose talents are similar to your own—but there are also almost certainly many below you and many above you as well. Unless you are properly matched with those of similar talent, competition will systematically lead to some people being pressured to work too hard and others not pressured enough.

But if we’re all stressed, where are the people not pressured enough? We see them on TV. They are celebrities and athletes and billionaires—people who got lucky enough, either genetically (actors who were born pretty, athletes who were born with more efficient muscles) or environmentally (inherited wealth and prestige), to not have to work as hard as the rest of us in order to succeed. Indeed, we are constantly bombarded with images of these fantastically lucky people, and by the availability heuristic our brains come to assume that they are far more plentiful than they actually are.

This dramatically exacerbates the harms of competition, because we come to feel that we are competing specifically with the people who were handed the world on a silver platter. Born without the innate advantages of beauty or endurance or inheritance, there’s basically no chance we could ever measure up; and thus we feel utterly inadequate unless we are constantly working as hard as we possibly can, trying to catch up in a race in which we always fall further and further behind.

How can we break out of this terrible cycle? Well, we could try to replace capitalism with something like the automated luxury communism of Star Trek; but this seems like a very difficult and long-term solution. Indeed it might well take us a few hundred years as Roddenberry predicted.

In the shorter term, we may not be able to fix the economic problem, but there is much we can do to fix the psychological problem.

By reflecting on the full breadth of human experience, not only here and now, but throughout history and around the world, you can come to realize that you—yes, you, if you’re reading this—are in fact among the relatively fortunate. If you have a roof over your head, food on your table, clean water from your tap, and ibuprofen in your medicine cabinet, you are far more fortunate than the average person in Senegal today; your television, car, computer, and smartphone are things that would be the envy even of kings just a few centuries ago. (Though ironically enough that person in Senegal likely has a smartphone, or at least a cell phone!)

Likewise, you can reflect upon the fact that while you are likely not among the world’s most very most talented individuals in any particular field, there is probably something you are much better at than most people. (A Fermi estimate suggests I’m probably in the top 250 behavioral economists in the world. That’s probably not enough for a Nobel, but it does seem to be enough to get a job at the University of Edinburgh.) There are certainly many people who are less good at many things than you are, and if you must think of yourself as competing, consider that you’re also competing with them.

Yet perhaps the best psychological solution is to learn not to think of yourself as competing at all. So much as you can afford to do so, try to live your life as if you were already living in a world that rewards you for making the best of your own capabilities. Try to live your life doing what you really think is the best use of your time—not your corporate overlords. Yes, of course, we must do what we need to in order to survive, and not just survive, but indeed remain physically and mentally healthy—but this is far less than most First World people realize. Though many may try to threaten you with homelessness or even starvation in order to exploit you and make you work harder, the truth is that very few people in First World countries actually end up that way (it couldbe brought to zero, if our public policy were better), and you’re not likely to be among them. “Starving artists” are typically a good deal happier than the general population—because they’re not actually starving, they’ve just removed themselves from the soul-crushing treadmill of trying to impress the neighbors with manicured lawns and fancy SUVs.

Finance is the commodification of trust

PNRJ core principles, ethics, financial fraud, public policy , , , , , , ,

Jul 18 JDN 2459414

What is it about finance?

Why is it that whenever we have an economic crisis, it seems to be triggered by the financial industry? Why has the dramatic rise in income and wealth inequality come in tandem with a rise in finance as a proportion of our economic output? Why are so many major banks implicated in crimes ranging from tax evasion to money laundering for terrorists?

In other words, why are the people who run our financial industry such utter scum? What is it about finance that it seems to attract the very worst people on Earth?

One obvious answer is that it is extremely lucrative: Incomes in the financial industry are higher than almost any other industry. Perhaps people who are particularly unscrupulous are drawn to the industries that make the most money, and don’t care about much else. But other people like making money too, so this is far from a full explanation. Indeed, incomes for physicists are comparable to those of Wall Street brokers, yet physicists rarely seem to be implicated in mass corruption scandals.

I think there is a deeper reason: Finance is the commodification of trust.

Many industries sell products, physical artifacts like shirts or televisions. Others sell services like healthcare or auto repair, which involve the physical movement of objects through space. Information-based industries are a bit different—what a software developer or an economist sells isn’t really a physical object moving through space. But then what they are selling is something more like knowledge—information that can be used to do useful things.

Finance is different. When you make a loan or sell a stock, you aren’t selling a thing—and you aren’t really doing a thing either. You aren’t selling information, either. You’re selling trust. You are making money by making promises.

Most people are generally uncomfortable with the idea of selling promises. It isn’t that we’d never do it—but we’re reluctant to do it. We try to avoid it whenever we can. But if you want to be successful in finance, you can’t have that kind of reluctance. To succeed on Wall Street, you need to be constantly selling trust every hour of every day.

Don’t get me wrong: Certain kinds of finance are tremendously useful, and we’d be much worse off without them. I would never want to get rid of government bonds, auto loans or home mortgages. I’m actually pretty reluctant to even get rid of student loans, despite the large personal benefits I would get if all student loans were suddenly forgiven. (I would be okay with a system like Elizabeth Warren’s proposal, where people with college degrees pay a surtax that supports free tuition. The problem with most proposals for free college is that they make people who never went to college pay for those who did, and that seems unfair and regressive to me.)

But the Medieval suspicion against “usury“—the notion that there is something immoral about making money just from having money and making promises—isn’t entirely unfounded. There really is something deeply problematic about a system in which the best way to get rich is to sell commodified packages of trust, and the best way to make money is to already have it.

Moreover, the more complex finance gets, the more divorced it becomes from genuinely necessary transactions, and the more commodified it becomes. A mortgage deal that you make with a particular banker in your own community isn’t particularly commodified; a mortgage that is sliced and redistributed into mortgage-backed securities that are sold anonymously around the world is about as commodified as anything can be. It’s rather like the difference between buying a bag of apples from your town farmers’ market versus ordering a barrel of apple juice concentrate. (And of course the most commodified version of all is the financial one: buying apple juice concentrate futures.)

Commodified trust is trust that has lost its connection to real human needs. Those bankers who foreclosed on thousands of mortgages (many of them illegally) weren’t thinking about the people they were making homeless—why would they, when for them those people have always been nothing more than numbers on a spreadsheet? Your local banker might be willing to work with you to help you keep your home, because they see you as a person. (They might not for various reasons, but at least they might.) But there’s no reason for HSBC to do so, especially when they know that they are so rich and powerful they can get away with just about anything (have I mentioned money laundering for terrorists?).

I don’t think we can get rid of finance. We will always need some mechanism to let people who need money but don’t have it borrow that money from people who have it but don’t need it, and it makes sense to have interest charges to compensate lenders for the time and risk involved.

Yet there is much of finance we can clearly dispense with. Credit default swaps could simply be banned, and we’d gain much and lose little. Credit default swaps are basically unregulated insurance, and there’s no reason to allow that. If banks need insurance, they can buy the regulated kind like everyone else. Those regulations are there for a reason. We could ban collateralized debt obligations and similar tranche-based securities, again with far more benefit than harm. We probably still need stocks and commodity futures, and perhaps also stock options—but we could regulate their sale considerably more, particularly with regard to short-selling. Banking should be boring.

Some amount of commodification may be inevitable, but clearly much of what we currently have could be eliminated. In particular, the selling of loans should simply be banned. Maybe even your local banker won’t ever really get to know you or care about you—but there’s no reason we have to allow them to sell your loan to some bank in another country that you’ve never even heard of. When you make a deal with a bank, the deal should be between you and that bank—not potentially any bank in the world that decides to buy the contract at any point in the future. Maybe we’ll always be numbers on spreadsheets—but at least we should be able to choose whose spreadsheets.

If banks want more liquidity, they can borrow from other banks—themselves, taking on the risk themselves. A lending relationship is built on trust. You are free to trust whomever you choose; but forcing me to trust someone I’ve never met is something you have no right to do.

In fact, we might actually be able to get rid of banks—credit unions have a far cleaner record than banks, and provide nearly all of the financial services that are genuinely necessary. Indeed, if you’re considering getting an auto loan or a home mortgage, I highly recommend you try a credit union first.

For now, we can’t simply get rid of banks—we’re too dependent on them. But we could at least acknowledge that banks are too powerful, they get away with far too much, and their whole industry is founded upon practices that need to be kept on a very tight leash.

An unusual recession, a rapid recovery

PNRJ current events, macroeconomics, market failure, public policy , , , , , , , ,

Jul 11 JDN 2459407

It seems like an egregious understatement to say that the last couple of years have been unusual. The COVID-19 pandemic was historic, comparable in threat—though not in outcome—to the 1918 influenza pandemic.

At this point it looks like we may not be able to fully eradicate COVID. And there are still many places around the world where variants of the virus continue to spread. I personally am a bit worried about the recent surge in the UK; it might add some obstacles (as if I needed any more) to my move to Edinburgh. Yet even in hard-hit places like India and Brazil things are starting to get better. Overall, it seems like the worst is over.

This pandemic disrupted our society in so many ways, great and small, and we are still figuring out what the long-term consequences will be.

But as an economist, one of the things I found most unusual is that this recession fit Real Business Cycle theory.

Real Business Cycle theory (henceforth RBC) posits that recessions are caused by negative technology shocks which result in a sudden drop in labor supply, reducing employment and output. This is generally combined with sophisticated mathematical modeling (DSGE or GTFO), and it typically leads to the conclusion that the recession is optimal and we should do nothing to correct it (which was after all the original motivation of the entire theory—they didn’t like the interventionist policy conclusions of Keynesian models). Alternatively it could suggest that, if we can, we should try to intervene to produce a positive technology shock (but nobody’s really sure how to do that).

For a typical recession, this is utter nonsense. It is obvious to anyone who cares to look that major recessions like the Great Depression and the Great Recession were caused by a lack of labor demand, not supply. There is no apparent technology shock to cause either recession. Instead, they seem to be preciptiated by a financial crisis, which then causes a crisis of liquidity which leads to a downward spiral of layoffs reducing spending and causing more layoffs. Millions of people lose their jobs and become desperate to find new ones, with hundreds of people applying to each opening. RBC predicts a shortage of labor where there is instead a glut. RBC predicts that wages should go up in recessions—but they almost always go down.

But for the COVID-19 recession, RBC actually had some truth to it. We had something very much like a negative technology shock—namely the pandemic. COVID-19 greatly increased the cost of working and the cost of shopping. This led to a reduction in labor demand as usual, but also a reduction in labor supply for once. And while we did go through a phase in which hundreds of people applied to each new opening, we then followed it up with a labor shortage and rising wages. A fall in labor supply should create inflation, and we now have the highest inflation we’ve had in decades—but there’s good reason to think it’s just a transitory spike that will soon settle back to normal.

The recovery from this recession was also much more rapid: Once vaccines started rolling out, the economy began to recover almost immediately. We recovered most of the employment losses in just the first six months, and we’re on track to recover completely in half the time it took after the Great Recession.

This makes it the exception that proves the rule: Now that you’ve seen a recession that actually resembles RBC, you can see just how radically different it was from a typical recession.

Moreover, even in this weird recession the usual policy conclusions from RBC are off-base. It would have been disastrous to withhold the economic relief payments—which I’m happy to say even most Republicans realized. The one thing that RBC got right as far as policy is that a positive technology shock was our salvation—vaccines.

Indeed, while the cause of this recession was very strange and not what Keynesian models were designed to handle, our government largely followed Keynesian policy advice—and it worked. We ran massive government deficits—over $3 trillion in 2020—and the result was rapid recovery in consumer spending and then employment. I honestly wouldn’t have thought our government had the political will to run a deficit like that, even when the economic models told them they should; but I’m very glad to be wrong. We ran the huge deficit just as the models said we should—and it worked. I wonder how the 2010s might have gone differently had we done the same after 2008.

Perhaps we’ve learned from some of our mistakes.

A prouder year for America, and for me

PNRJ current events, personal, politics, public policy , , , ,

Jul 4 JDN 2459380

Living under Trump from 2017 to 2020, it was difficult to be patriotic. How can we be proud of a country that would put a man like that in charge? And then there was the COVID pandemic, which initially the US handled terribly—largely because of the aforementioned Trump.

But then Biden took office, and almost immediately things started to improve. This is a testament to how important policy can be—and how different the Democrats and Republicans have become.

The US now has one of the best rates of COVID vaccination in the world (though lately progress seems to be stalling and other countries are catching up). Daily cases in the US are now the lowest they have been since March 2020. Even real GDP is almost back up to its pre-pandemic level (even per-capita), and the surge of inflation we got as things began to re-open already seems to be subsiding.

I can actually celebrate the 4th of July with some enthusiasm this year, whereas the last four years involved continually reminding myself that I was celebrating the liberating values of America’s founding, not the current terrible state of its government. Of course our government policy still retains many significant flaws—but it isn’t the utter embarrassment it was just a year ago.

This may be my last 4th of July to celebrate for the next few years, as I will soon be moving to Scotland (more on that in a moment).

2020 was a very bad year, but even halfway through it’s clear that 2021 is going to be a lot better.

This was true for just about everyone. I was no exception.

The direct effects of the pandemic on me were relatively minor.

Transitioning to remote work was even easier than I expected it to be; in fact I was even able to run experiments online using the same research subject pool as we’d previously used for the lab. I not only didn’t suffer any financial hardship from the lockdowns, I ended up better off because of the relief payments (and the freezing of student loan payments as well as the ludicrous stock boom, which I managed to buy in near the trough of). Ordering groceries online for delivery is so convenient I’m tempted to continue it after the pandemic is over (though it does cost more).

I was careful and/or fortunate enough not to get sick (now that I am fully vaccinated, my future risk is negligible), as were most of my friends and family. I am not close to anyone who died from the virus, though I do have some second-order links to some who died (grandparents of a couple of my friends, the thesis advisor of one of my co-authors).

It was other things, that really made 2020 a miserable year for me. Some of them were indirect effects of the pandemic, and some may not even have been related.

For me, 2020 was a year full of disappointments. It was the year I nearly finished my dissertation and went on the job market, applying for over one hundred jobs—and got zero offers. It was the year I was scheduled to present at an international conference—which was then canceled. It was the year my papers were rejected by multiple journals. It was the year I was scheduled to be married—and then we were forced to postpone the wedding.

But now, in 2021, several of these situations are already improving. We will be married on October 9, and most (though assuredly not all) of the preparations for the wedding are now done. My dissertation is now done except for some formalities. After over a year of searching and applying to over two hundred postings in all, I finally found a job, a postdoc position at the University of Edinburgh. (A postdoc isn’t ideal, but on the other hand, Edinburgh is more prestigious than I thought I’d be able to get.) I still haven’t managed to publish any papers, but I no longer feel as desperate a need to do so now that I’m not scrambling to find a job. Now of course we have to plan for a move overseas, though fortunately the university will reimburse our costs for the visa and most of the moving expenses.

Of course, 2021 isn’t over—neither is the COVID pandemic. But already it looks like it’s going to be a lot better than 2020.