Maybe we should forgive student debt after all.

May 8 JDN 2459708

President Biden has been promising some form of student debt relief since the start of his campaign, though so far all he has actually implemented is a series of no-interest deferments and some improvements to the existing forgiveness programs. (This is still significant—it has definitely helped a lot of people with cashflow during the pandemic.) Actual forgiveness for a large segment of the population remains elusive, and if it does happen, it’s unclear how extensive it will be in either intensity (amount forgiven) or scope (who is eligible).

I personally had been fine with this; while I have a substantial loan balance myself, I also have a PhD in economics, which—theoretically—should at some point entitle me to sufficient income to repay those loans.

Moreover, until recently I had been one of the few left-wing people I know to not be terribly enthusiastic about loan forgiveness. It struck me as a poor use of those government funds, because $1.75 trillion is an awful lot of money, and college graduates are a relatively privileged population. (And yes, it is valid to consider this a question of “spending”, because the US government is the least liquidity-constrained entity on Earth. In lieu of forgiving $1.75 trillion in debt, they could borrow $1.75 trillion in debt and use it to pay for whatever they want, and their ultimate budget balance would be basically the same in each case.)

But I say all this in the past tense because Krugman’s recent column has caused me to reconsider. He gives two strong reasons why debt forgiveness may actually be a good idea.

The first is that Congress is useless. Thanks to gerrymandering and the 40% or so of our population who keeps electing Republicans no matter how crazy they get, it’s all but impossible to pass useful legislation. The pandemic relief programs were the exception that proves the rule: Somehow those managed to get through, even though in any other context it’s clear that Congress would never have approved any kind of (non-military) program that spent that much money or helped that many poor people.

Student loans are the purview of the Department of Education, which is entirely under control of the Executive Branch, and therefore, ultimately, the President of the United States. So Biden could forgive student loans by executive order and there’s very little Congress could do to stop him. Even if that $1.75 trillion could be better spent, if it wasn’t going to be anyway, we may as well use it for this.

The second is that “college graduates” is too broad a category. Usually I’m on guard for this sort of thing, but in this case I faltered, and did not notice the fallacy of composition so many labor economists were making by lumping all college grads into the same economic category. Yes, some of us are doing well, but many are not. Within-group inequality matters.

A key insight here comes from carefully analyzing the college wage premium, which is the median income of college graduates, divided by the median income of high school graduates. This is an estimate of the overall value of a college education. It’s pretty large, as a matter of fact: It amounts to something like a doubling of your income, or about $1 million over one’s whole lifespan.

From about 1980-2000, wage inequality grew about as fast as today, and the college wage premium grew even faster. So it was plausible—if not necessarily correct—to believe that the wage inequality reflected the higher income and higher productivity of college grads. But since 2000, wage inequality has continued to grow, while the college wage premium has been utterly stagnant. Thus, higher inequality can no longer (if it ever could) be explained by the effects of college education.

Now some college graduates are definitely making a lot more money—such as those who went into finance. But it turns out that most are not. As Krugman points out, the 95th percentile of male college grads has seen a 25% increase in real (inflation-adjusted) income in the last 20 years, while the median male college grad has actually seen a slight decrease. (I’m not sure why Krugman restricted to males, so I’m curious how it looks if you include women. But probably not radically different?)

I still don’t think student loan forgiveness would be the best use of that (enormous sum of) money. But if it’s what’s politically feasible, it definitely could help a lot of people. And it would be easy enough to make it more progressive, by phasing out forgiveness for graduates with higher incomes.

And hey, it would certainly help me, so maybe I shouldn’t argue too strongly against it?

Rethinking progressive taxation

Apr 17 JDN 2459687

There is an extremely common and quite bizarre result in the standard theory of taxation, which is that the optimal marginal tax rate for the highest incomes should be zero. Ever since that result came out, economists have basically divided into two camps.

The more left-leaning have said, “This is obviously wrong; so why is it wrong? What are we missing?”; the more right-leaning have said, “The model says so, so it must be right! Cut taxes on the rich!”

I probably don’t need to tell you that I’m very much in the first camp. But more recently I’ve come to realize that even the answers left-leaning economists have been giving for why this result is wrong are also missing something vital.

There have been papers explaining that “the zero top rate only applies at extreme incomes” (uh, $50 billion sounds pretty extreme to me!) or “the optimal tax system can be U-shaped” (I don’t want U-shaped—we’re not supposed to be taxing the poor!)


And many economists still seem to find it reasonable to say that marginal tax rates should decline over some significant part of the distribution.

In my view, there are really two reasons why taxes should be progressive, and they are sufficiently general reasons that they should almost always override other considerations.

The first is diminishing marginal utility of wealth. The real value of a dollar is much less to someone who already has $1 million than to someone who has only $100. Thus, if we want to raise the most revenue while causing the least pain, we typically want to tax people who have a lot of money rather than people who have very little.

But the right-wing economists have an answer to this one, based on these fancy models: Yes, taking a given amount from the rich would be better (a lump-sum tax), but you can’t do that; you can only tax their income at a certain rate. (So far, that seems right. Lump-sum taxes are silly and economists talk about them too much.) But the rich are rich because they are more productive! If you tax them more, they will work less, and that will harm society as a whole due to their lost productivity.

This is the fundamental intuition behind the “top rate should be zero” result: The rich are so fantastically productive that it isn’t worth it to tax them. We simply can’t risk them working less.

But are the rich actually so fantastically productive? Are they really that smart? Do they really work that hard?

If Tony Stark were real, okay, don’t tax him. He is a one-man Singularity: He invented the perfect power source on his own, “in a cave, with a box of scraps!”; he created a true AI basically by himself; he single-handedly discovered a new stable island element and used it to make his already perfect power source even better.

But despite what his fanboys may tell you, Elon Musk is not Tony Stark. Tesla and SpaceX have done a lot of very good things, but in order to do they really didn’t need Elon Musk for much. Mainly, they needed his money. Give me $270 billion and I could make companies that build electric cars and launch rockets into space too. (Indeed, I probably would—though I’d also set up some charitable foundations as well, more like what Bill Gates did with his similarly mind-boggling wealth.)

Don’t get me wrong; Elon Musk is a very intelligent man, and he works, if anything, obsessively. (He makes his employees work excessively too—and that’s a problem.) But if he were to suddenly die, as long as a reasonably competent CEO replaced him, Tesla and SpaceX would go on working more or less as they already do. The spectacular productivity of these companies is not due to Musk alone, but thousands of highly-skilled employees. These people would be productive if Musk had not existed, and they will continue to be productive once Musk is gone.

And they aren’t particularly rich. They aren’t poor either, mind you—a typical engineer at Tesla or SpaceX is quite well-paid, and rightly so. (Median salary at SpaceX is over $115,000.) These people are brilliant, tremendously hard-working, and highly productive; and they get quite well-paid. But very few of these people are in the top 1%, and basically none of them will ever be billionaires—let alone the truly staggering wealth of a hectobillionaire like Musk himself.

How, then, does one become a billionaire? Not by being brilliant, hard-working, or productive—at least that is not sufficient, and the existence of, say, Donald Trump suggests that it is not necessary either. No, the really quintessential feature every billionaire has is remarkably simple and consistent across the board: They own a monopoly.

You can pretty much go down the list, finding what monopoly each billionaire owned: Bill Gates owned software patents on (what is still) the most widely-used OS and office suite in the world. J.K. Rowling owns copyrights on the most successful novels in history. Elon Musk owns technology patents on various innovations in energy storage and spaceflight technology—very few of which he himself invented, I might add. Andrew Carnegie owned the steel industry. John D. Rockefeller owned the oil industry. And so on.

I honestly can’t find any real exceptions: Basically every billionaire either owned a monopoly or inherited from ancestors who did. The closest things to exceptions are billionaire who did something even worse, like defrauding thousands of people, enslaving an indigenous population or running a nation with an iron fist. (And even then, Leopold II and Vladimir Putin both exerted a lot of monopoly power as part of their murderous tyranny.)

In other words, billionaire wealth is almost entirely rent. You don’t earn a billion dollars. You don’t get it by working. You get it by owning—and by using that ownership to exert monopoly power.

This means that taxing billionaire wealth wouldn’t incentivize them to work less; they already don’t work for their money. It would just incentivize them to fight less hard at extracting wealth from everyone else using their monopoly power—which hardly seems like a downside.

Since virtually all of the wealth at the top is simply rent, we have no reason not to tax it away. It isn’t genuine productivity at all; it’s just extracting wealth that other people produced.

Thus, my second, and ultimately most decisive reason for wanting strongly progressive taxes: rent-seeking. The very rich don’t actually deserve the vast majority of what they have, and we should take it back so that we can give it to people who really need and deserve it.

Now, there is a somewhat more charitable version of the view that high taxes even on the top 0.01% would hurt productivity, and it is worth addressing. That is based on the idea that entrepreneurship is valuable, and part of the incentive for becoming and entrepreneur is the chance at one day striking it fabulously rich, so taxing the fabulously rich might result in a world of fewer entrepreneurs.

This isn’t nearly as ridiculous as the idea that Elon Musk somehow works a million times as hard as the rest of us, but it’s still pretty easy to find flaws in it.

Suppose you were considering starting a business. Indeed, perhaps you already have considered it. What are your main deciding factors in whether or not you will?

Surely they do not include the difference between a 0.0001% chance of making $200 billion and a 0.0001% chance of making $50 billion. Indeed, that probably doesn’t factor in at all; you know you’ll almost certainly never get there, and even if you did, there’s basically no real difference in your way of life between $50 billion and $200 billion.

No, more likely they include things like this: (1) How likely are you to turn a profit at all? Even a profit of $50,000 per year would probably be enough to be worth it, but how sure are you that you can manage that? (2) How much funding can you get to start it in the first place? Depending on what sort of business you’re hoping to found, it could be as little as thousands or as much as millions of dollars to get it set up, well before it starts taking in any revenue. And even a few thousand is a lot for most middle-class people to come up with in one chunk and be willing to risk losing.

This means that there is a very simple policy we could implement which would dramatically increase entrepreneurship while taxing only billionaires more, and it goes like this: Add an extra 1% marginal tax to capital gains for billionaires, and plow it into a fund that gives grants of $10,000 to $100,000 to promising new startups.

That 1% tax could raise several billion dollars a year—yes, really; US billionaires gained some $2 trillion in capital gains last year, so we’d raise $20 billion—and thereby fund many, many startups. Say the average grant is $20,000 and the total revenue is $20 billion; that’s one million new startups funded every single year. Every single year! Currently, about 4 million new businesses are founded each year in the US (leading the world by a wide margin); this could raise that to 5 million.

So don’t tell me this is about incentivizing entrepreneurship. We could do that far better than we currently do, with some very simple policy changes.

Meanwhile, the economics literature on optimal taxation seems to be completely missing the point. Most of it is still mired in the assumption that the rich are rich because they are productive, and thus terribly concerned about the “trade-off” between efficiency and equity involved in higher taxes. But when you realize that the vast, vast majority—easily 99.9%—of billionaire wealth is unearned rents, then it becomes obvious that this trade-off is an illusion. We can improve efficiency and equity simultaneously, by taking some of this ludicrous hoard of unearned wealth and putting it back into productive activities, or giving it to the people who need it most. The only people who will be harmed by this are billionaires themselves, and by diminishing marginal utility of wealth, they won’t be harmed very much.

Fortunately, the tide is turning, and more economists are starting to see the light. One of the best examples comes from Piketty, Saez, and Stantcheva in their paper on how CEO “pay for luck” (e.g. stock options) respond to top tax rates. There are a few other papers that touch on similar issues, such as Lockwood, Nathanson, and Weyl and Rothschild and Scheuer. But there’s clearly a lot of space left for new work to be done. The old results that told us not to raise taxes were wrong on a deep, fundamental level, and we need to replace them with something better.

The alienation of labor

Apr 10 JDN 2459680

Marx famously wrote that capitalism “alienates labor”. Much ink has been spilled over interpreting exactly what he meant by that, but I think the most useful and charitable reading goes something like the following:

When you make something for yourself, it feels fully yours. The effort you put into it feels valuable and meaningful. Whether you’re building a house to live in it or just cooking an omelet to eat it, your labor is directly reflected in your rewards, and you have a clear sense of purpose and value in what you are doing.

But when you make something for an employer, it feels like theirs, not yours. You have been instructed by your superiors to make a certain thing a certain way, for reasons you may or may not understand (and may or may not even agree with). Once you deliver the product—which may be as concrete as a carburetor or as abstract as an accounting report—you will likely never see it again; it will be used or not by someone else somewhere else whom you may not even ever get the chance to meet. Such labor feels tedious, effortful, exhausting—and also often empty, pointless, and meaningless.

On that reading, Marx isn’t wrong. There really is something to this. (I don’t know if this is really Marx’s intended meaning or not, and really I don’t much care—this is a valid thing and we should be addressing it, whether Marx meant to or not.)

There is a little parable about this, which I can’t quite remember where I heard:

Three men are moving heavy stones from one place to another. A traveler passes by and asks them, “What are you doing?”

The first man sighs and says, “We do whatever the boss tells us to do.”

The second man shrugs and says, “We pick up the rocks here, we move them over there.”

The third man smiles and says, “We’re building a cathedral.”

The three answers are quite different—yet all three men may be telling the truth as they see it.

The first man is fully alienated from his labor: he does whatever the boss says, following instructions that he considers arbitrary and mechanical. The second man is partially alienated: he knows the mechanics of what he is trying to accomplish, which may allow him to improve efficiency in some way (e.g. devise better ways to transport the rocks faster or with less effort), but he doesn’t understand the purpose behind it all, so ultimately his work still feels meaningless. But the third man is not alienated: he understands the purpose of his work, and he values that purpose. He sees that what he is doing is contributing to a greater whole that he considers worthwhile. It’s not hard to imagine that the third man will be the happiest, and the first will be the unhappiest.

There really is something about the capitalist wage-labor structure that can easily feed into this sort of alienation. You get a job because you need money to live, not because you necessarily value whatever the job does. You do as you are told so that you can keep your job and continue to get paid.

Some jobs are much more alienating than others. Most teachers and nurses see their work as a vocation, even a calling—their work has deep meaning for them and they value its purpose. At the other extreme there are corporate lawyers and derivatives traders, who must on some level understand that their work contributes almost nothing to the world (may in fact actively cause harm), but they continue to do the work because it pays them very well.

But there are many jobs in between which can be experienced both ways. Working in retail can be an agonizing grind where you must face a grueling gauntlet of ungrateful customers day in and day out—or it can be a way to participate in your local community and help your neighbors get the things they need. Working in manufacturing can be a mechanical process of inserting tab A into slot B and screwing it into place over, and over, and over again—or it can be a chance to create something, convert raw materials into something useful and valuable that other people can cherish.

And while individual perspective and framing surely matter here—those three men were all working in the same quarry, building the same cathedral—there is also an important objective component as well. Working as an artisan is not as alienating as working on an assembly line. Hosting a tent at a farmer’s market is not as alienating as working the register at Walmart. Tutoring an individual student is more purposeful than recording video lectures for a MOOC. Running a quirky local book store is more fulfilling than stocking shelves at Barnes & Noble.

Moreover, capitalism really does seem to push us more toward the alienating side of the spectrum. Assembly lines are far more efficient than artisans, so we make most of our products on assembly lines. Buying food at Walmart is cheaper and more convenient than at farmer’s markets, so more people shop there. Hiring one video lecturer for 10,000 students is a lot cheaper than paying 100 in-person lecturers, let alone 1,000 private tutors. And Barnes & Noble doesn’t drive out local book stores by some nefarious means: It just provides better service at lower prices. If you want a specific book for a good price right now, you’re much more likely to find it at Barnes & Noble. (And even more likely to find it on Amazon.)

Finding meaning in your work is very important for human happiness. Indeed, along with health and social relationships, it’s one of the biggest determinants of happiness. For most people in First World countries, it seems to be more important than income (though income certainly does matter).

Yet the increased efficiency and productivity upon which our modern standard of living depends seems to be based upon a system of production—in a word, capitalism—that systematically alienates us from meaning in our work.

This puts us in a dilemma: Do we keep things as they are, accepting that we will feel an increasing sense of alienation and ennui as our wealth continues to grow and we get ever-fancier toys to occupy our meaningless lives? Or do we turn back the clock, returning to a world where work once again has meaning, but at the cost of making everyone poorer—and some people desperately so?

Well, first of all, to some extent this is a false dichotomy. There are jobs that are highly meaningful but also highly productive, such as teaching and engineering. (Even recording a video lecture is a lot more fulfilling than plenty of jobs out there.) We could try to direct more people into jobs like these. There are jobs that are neither particularly fulfilling nor especially productive, like driving trucks, washing floors and waiting tables. We could redouble our efforts into automating such jobs out of existence. There are meaningless jobs that are lucrative only by rent-seeking, producing little or no genuine value, like the aforementioned corporate lawyers and derivatives traders. These, quite frankly, could simply be banned—or if there is some need for them in particular circumstances (I guess someone should defend corporations when they get sued; but they far more often go unjustly unpunished than unjustly punished!), strictly regulated and their numbers and pay rates curtailed.

Nevertheless, we still have decisions to make, as a society, about what we value most. Do we want a world of cheap, mostly adequate education, that feels alienating even to the people producing it? Then MOOCs are clearly the way to go; pennies on the dollar for education that could well be half as good! Or do we want a world of high-quality, personalized teaching, by highly-qualified academics, that will help students learn better and feel more fulfilling for the teachers? More pointedly—are we willing to pay for that higher-quality education, knowing it will be more expensive?

Moreover, in the First World at least, our standard of living is… pretty high already? Like seriously, what do we really need that we don’t already have? We could always imagine more, of course—a bigger house, a nicer car, dining at fancier restaurants, and so on. But most of us have roofs over our heads, clothes on our backs, and food on our tables.

Economic growth has done amazing things for us—but maybe we’re kind of… done? Maybe we don’t need to keep growing like this, and should start redirecting our efforts away from greater efficiency and toward greater fulfillment. Maybe there are economic possibilities we haven’t been considering.

Note that I specifically mean First World countries here. In Third World countries it’s totally different—they need growth, lots of it, as fast as possible. Fulfillment at work ends up being a pretty low priority when your children are starving and dying of malaria.

But then, you may wonder: If we stop buying cheap plastic toys to fill the emptiness in our hearts, won’t that throw all those Chinese factory workers back into poverty?

In the system as it stands? Yes, that’s a real concern. A sudden drop in consumption spending in general, or even imports in particular, in First World countries could be economically devastating for millions of people in Third World countries.

But there’s nothing inherent about this arrangement. There are less-alienating ways of working that can still provide a decent standard of living, and there’s no fundamental reason why people around the world couldn’t all be doing them. If they aren’t, it’s in the short run because they don’t have the education or the physical machinery—and in the long run it’s usually because their government is corrupt and authoritarian. A functional democratic government can get you capital and education remarkably fast—it certainly did in South Korea, Taiwan, and Japan.

Automation is clearly a big part of the answer here. Many people in the First World seem to suspect that our way of life depends upon the exploited labor of impoverished people in Third World countries, but this is largely untrue. Most of that work could be done by robots and highly-skilled technicians and engineers; it just isn’t because that would cost more. Yes, that higher cost would mean some reduction in standard of living—but it wouldn’t be nearly as dramatic as many people seem to think. We would have slightly smaller houses and slightly older cars and slightly slower laptops, but we’d still have houses and cars and laptops.

So I don’t think we should all cast off our worldly possessions just yet. Whether or not it would make us better off, it would cause great harm to countries that depend on their exports to us. But in the long run, I do think we should be working to achieve a future for humanity that isn’t so obsessed with efficiency and growth, and instead tries to provide both a decent standard of living and a life of meaning and purpose.

Gender norms are weird.

Apr 3 JDN 2459673

Field Adjunct Xorlan nervously adjusted their antenna jewelry and twiddled their mandibles as they waited to be called before the Xenoanthropology Committee.

At last, it was Xorlan’s turn to speak. They stepped slowly, hesitantly up to the speaking perch, trying not to meet any of the dozens of quartets of eyes gazing upon them. “So… yes. The humans of Terra. I found something…” Their throat suddenly felt dry. “Something very unusual.”

The Committee Chair glared at Xorlan impatiently. “Go on, then.”

“Well, to begin, humans exhibit moderate sexual dimorphism, though much more in physical than mental traits.”

The Chair rolled all four of their eyes. “That is hardly unusual at all! I could name a dozen species on as many worlds—”

“Uh, if I may, I wasn’t finished. But the humans, you see, they endeavor greatly—at enormous individual and social cost—to emphasize their own dimorphism. They wear clothing that accentuates their moderate physical differences. They organize themselves into groups based primarily if not entirely around secondary sexual characteristics. Many of their languages even directly incorporate pronouns or even adjectives and nouns associated with these categorizations.”

Seemingly placated for now, the Chair was no longer glaring or rolling their eyes. “Continue.”

“They build complex systems of norms surrounding the appropriate dress and behavior of individuals based on these dimorphic characteristics. Moreover, they enforce these norms with an iron mandible—” Xorlan choked at their own cliched metaphor, regretting it immediately. “Well, uh, not literally, humans don’t have mandibles—but what I mean to say is, they enforce these norms extremely aggressively. Humans will berate, abuse, ostracize, in extreme cases even assault or kill one another over seemingly trivial violations of these norms.”

Now the Chair sounded genuinely interested. “We know religion is common among humans. Do the norms have some religious significance, perhaps?”

“Sometimes. But not always. Oftentimes the norms seem to be entirely separate from religious practices, yet are no less intensively enforced. Different groups of humans even have quite different norms, though I have noticed certain patterns, if you’ll turn to table 4 of my report—”

The Chair waved dismissively. “In due time, Field Adjunct. For now, tell us: Do the humans have a name for this strange practice?”

“Ah. Yes, in fact they do. They call it gender.

We are so thoroughly accustomed to them—in basically every human society—that we hardly even notice their existence, much less think to question them most of the time. But as I hope this little vignette about an alien anthropologist illustrates, gender norms are actually quite profoundly weird.

Sexual dimorphism is not weird. A huge number of species have vary degrees of dimorphism, and mammals in particular are especially likely to exhibit significant dimorphism, from the huge antlers of a stag to the silver back of a gorilla. Human dimorphism is in a fairly moderate range; our males and females are neither exceptionally similar nor exceptionally different by most mammal standards.

No, what’s weird is gender—the way that, in nearly every human society, culture has taken our sexual dimorphism and expanded it into an incredibly intricate, incredibly draconian system of norms that everyone is expected to follow on pain of ostracism if not outright violence.

Imagine a government that passed laws implementing the following:

Shortly after your birth, you will be assigned to a group without your input, and will remain it in your entire life. Based on your group assignment, you must obey the following rules: You must wear only clothing on this approved list, and never anything on this excluded list. You must speak with a voice pitch within a particular octave range. You must stand and walk a certain way. You must express, or not express, your emotions under certain strictly defined parameters—for group A, anger is almost never acceptable, while for group B, anger is the only acceptable emotion in most circumstances. You are expected to eat certain approved foods and exclude other foods. You must exhibit the assigned level of dominance for your group. All romantic and sexual relations are to be only with those assigned to the opposite group. If you violate any of these rules, you will be punished severely.

We surely see any such government as the epitome of tyranny. These rules are petty, arbitrary, oppressive, and disproportionately and capriciously enforced. And yet, when for millennia we in every society on Earth have imposed these rules upon ourselves and each other, it seems to us as though nothing is amiss.

Note that I’m not saying that men and women are the same in every way. That’s clearly not true physically; the differences in upper body strength and grip strength are frankly staggering. The average man is nearly twice as strong as the average woman, and an average 75-year-old man grips better with his left hand than an average 25-year-old woman grips with her right.

It isn’t really true mentally either: There are some robust correlations between gender and certain psychological traits. But they are just that: Correlations. Men are more likely to be dominant, aggressive, risk-seeking and visually oriented, while women are more likely to be submissive, nurturing, neurotic, and verbally oriented. There is still an enormous amount of variation within each group, such that knowing only someone’s gender actually tells you very little about their psychology.

And whatever differences there may be, however small or large, and whatever exceptions may exist, whether rare or ubiquitous—the question remains: Why enforce this? Why punish people for deviating from whatever trends may exist? Why is deviating from gender norms not simply unusual, but treated as immoral?

I don’t have a clear answer. People do generally enforce all sorts of social norms, some good and some bad; but gender norms in particular seem especially harshly enforced. People do generally feel uncomfortable with having their mental categories challenged or violated, but sporks and schnoodles have never received anything like the kind of hatred that is routinely directed at trans people. There’s something about gender in particular that seems to cut very deep into the core of human psychology.

Indeed, so deep that I doubt we’ll ever be truly free of them. But perhaps we can at least reduce their draconian demands on us by remaining aware of just how weird those demands are.

The economic impact of chronic illness

Mar 27 JDN 2459666

This topic is quite personal for me, as someone who has suffered from chronic migraines since adolescence. Some days, weeks, and months are better than others. This past month has been the worst I have felt since 2019, when we moved into an apartment that turned out to be full of mold. This time, there is no clear trigger—which also means no easy escape.

The economic impact of chronic illness is enormous. 90% of US healthcare spending is on people with chronic illnesses, including mental illnesses—and the US has the most expensive healthcare system in the world by almost any measure. Over 55% of adult Medicaid beneficiaries have two or more chronic illnesses.

The total annual cost of all chronic illnesses is hard to estimate, but it’s definitely somewhere in the trillions of dollars per year. The World Economic Forum estimated that number at $47 trillion over the next 20 years, which I actually consider conservative. I think this is counting how much we actually spend and some notion of lost productivity, as well as the (fraught) concept of the value of a statistical life—but I don’t think it’s putting a sensible value on the actual suffering. This will effectively undervalue poor people who are suffering severely but can’t get treated—because they spend little and can’t put a large dollar value on their lives. In the US, where the data is the best, the total cost of chronic illness comes to nearly $4 trillion per year—20% of GDP. If other countries are as bad or worse (and I don’t see why they would be better), then we’re looking at something like $17 trillion in real cost every single year; so over the next 20 years that’s not $47 trillion—it’s over $340 trillion.

Over half of US adults have at least one of the following, and over a quarter have two or more: arthritis, cancer, chronic obstructive pulmonary disease, coronary heart disease, current asthma, diabetes, hepatitis, hypertension, stroke, or kidney disease. (Actually the former very nearly implies the latter, unless chronic conditions somehow prevented one another. Two statistically independent events with 50% probability will jointly occur 25% of the time: Flip two coins.)

Unsurprisingly, age is positively correlated with chronic illness. Income is negatively correlated, both because chronic illnesses reduce job opportunities and because poorer people have more trouble getting good treatment. I am the exception that proves the rule, the upper-middle-class professional with both a PhD and a severe chronic illness.

There seems to be a common perception that chronic illness is largely a “First World problem”, but in fact chronic illnesses are more common—and much less poorly treated—in countries with low and moderate levels of development than they are in the most highly-developed countries. Over 75% of all deaths by non-communicable disease are in low- and middle-income countries. The proportion of deaths that is caused by non-communicable diseases is higher in high-income countries—but that’s because other diseases have been basically eradicated from high-income countries. People in rich countries actually suffer less from chronic illness than people in poor countries (on average).

It’s always a good idea to be careful of the distinction between incidence and prevalence, but with chronic illness this is particularly important, because (almost by definition) chronic illnesses last longer and so can have very high prevalence even with low incidence. Indeed, the odds of someone getting their first migraine (incidence) are low precisely because the odds of being someone who gets migraines (prevalence) is so high.

Quite high in fact: About 10% of men and 20% of women get migraines at least occasionally—though only about 8% of these (so 1% of men and 2% of women) get chronic migraines. Indeed, because ti is both common and can be quite severe, migraine is the second-most disabling condition worldwide as measured by years lived with disability (YLD), after low back pain. Neurologists are particularly likely to get migraines; the paper I linked speculates that they are better at realizing they have migraines, but I think we also need to consider the possibility of self-selection bias where people with migraines may be more likely to become neurologists. (I considered it, and it seems at least as good a reason as becoming a dentist because your name is Denise.)

If you order causes by the number of disability-adjusted life years (DALYs) they cost, chronic conditions rank quite high: while cardiovascular disease and cancer rate by far the highest, diabetes and kidney disease, mental disorders, neurological disorders, and musculoskeletal disorders all rate higher than malaria, HIV, or any other infection except respiratory infections (read: tuberculosis, influenza, and, once these charts are updated for the next few years, COVID). Note also that at the very bottom is “conflict and terrorism”—that’s all organized violence in the world—and natural disasters. Mental disorders alone cost the world 20 times as many DALYs as all conflict and terrorism combined.

Are people basically good?

Mar 20 JDN 2459659

I recently finished reading Human Kind by Rutger Bregman. His central thesis is a surprisingly controversial one, yet one I largely agree with: People are basically good. Most people, in most circumstances, try to do the right thing.

Neoclassical economists in particular seem utterly scandalized by any such suggestion. No, they insist, people are selfish! They’ll take any opportunity to exploit each other! On this, Bregman is right and the neoclassical economists are wrong.

One of the best parts of the book is Bregman’s tale of several shipwrecked Tongan boys who were stranded on the remote island of ‘Ata, sometimes called “the real Lord of the Flies but with an outcome quite radically different from that of the novel. There were of course conflicts during their long time stranded, but the boys resolved most of these conflicts peacefully, and by the time help came over a year later they were still healthy and harmonious. Bregman himself was involved in the investigative reporting about these events, and his tale of how he came to meet some of the (now elderly) survivors and tell their tale is both enlightening and heartwarming.

Bregman spends a lot of time (perhaps too much time) analyzing classic experiments meant to elucidate human nature. He does a good job of analyzing the Milgram experiment—it’s valid, but it says more about our willingness to serve a cause than our blind obedience to authority. He utterly demolishes the Zimbardo experiment; I knew it was bad, but I hadn’t even realized how utterly worthless that so-called “experiment” actually is. Zimbardo basically paid people to act like abusive prison guards—specifically instructing them how to act!—and then claimed that he had discovered something deep in human nature. Bregman calls it a “hoax”, which might be a bit too strong—but it’s about as accurate as calling it an “experiment”. I think it’s more like a form of performance art.

Bregman’s criticism of Steven Pinker I find much less convincing. He cites a few other studies that purported to show the following: (1) the archaeological record is unreliable in assessing death rates in prehistoric societies (fair enough, but what else do we have?), (2) the high death rates in prehistoric cultures could be from predators such as lions rather than other humans (maybe, but that still means civilization is providing vital security!), (3) the Long Peace could be a statistical artifact because data on wars is so sparse (I find this unlikely, but I admit the Russian invasion of Ukraine does support such a notion), or (4) the Long Peace is the result of nuclear weapons, globalized trade, and/or international institutions rather than a change in overall attitudes toward violence (perfectly reasonable, but I’m not even sure Pinker would disagree).

I appreciate that Bregman does not lend credence to the people who want to use absolute death counts instead of relative death rates, who apparently would rather live in a prehistoric village of 100 people that gets wiped out by a plague (or for that matter on a Mars colony of 100 people who all die of suffocation when the life support fails) rather than remain in a modern city of a million people that has a few dozen murders each year. Zero homicides is better than 40, right? Personally, I care most about the question “How likely am I to die at any given time?”; and for that, relative death rates are the only valid measure. I don’t even see why we should particularly care about homicide versus other causes of death—I don’t see being shot as particularly worse than dying of Alzheimer’s (indeed, quite the contrary, other than the fact that Alzheimer’s is largely limited to old age and shooting isn’t). But all right, if violence is the question, then go ahead and use homicides—but it certainly should be rates and not absolute numbers. A larger human population is not an inherently bad thing.

I even appreciate that Bregman offers a theory (not an especially convincing one, but not an utterly ridiculous one either) of how agriculture and civilization could emerge even if hunter-gatherer life was actually better. It basically involves agriculture being discovered by accident, and then people gradually transitioning to a sedentary mode of life and not realizing their mistake until generations had passed and all the old skills were lost. There are various holes one can poke in this theory (Were the skills really lost? Couldn’t they be recovered from others? Indeed, haven’t people done that, in living memory, by “going native”?), but it’s at least better than simply saying “civilization was a mistake”.

Yet Bregman’s own account, particularly his discussion of how early civilizations all seem to have been slave states, seems to better support what I think is becoming the historical consensus, which is that civilization emerged because a handful of psychopaths gathered armies to conquer and enslave everyone around them. This is bad news for anyone who holds to a naively Whiggish view of history as a continuous march of progress (which I have oft heard accused but rarely heard endorsed), but it’s equally bad news for anyone who believes that all human beings are basically good and we should—or even could—return to a state of blissful anarchism.

Indeed, this is where Bregman’s view and mine part ways. We both agree that most people are mostly good most of the time. He even acknowledges that about 2% of people are psychopaths, which is a very plausible figure. (The figures I find most credible are about 1% of women and about 4% of men, which averages out to 2.5%. The prevalence you get also depends on how severely lacking in empathy someone needs to be in order to qualify. I’ve seen figures as low as 1% and as high as 4%.) What he fails to see is how that 2% of people can have large effects on society, wildly disproportionate to their number.

Consider the few dozen murders that are committed in any given city of a million people each year. Who is committing those murders? By and large, psychopaths. That’s more true of premeditated murder than of crimes of passion, but even the latter are far more likely to be committed by psychopaths than the general population.

Or consider those early civilizations that were nearly all authoritarian slave-states. What kind of person tends to govern an authoritarian slave-state? A psychopath. Sure, probably not every Roman emperor was a psychopath—but I’m quite certain that Commodus and Caligula were, and I suspect that Augustus and several others were as well. And the ones who don’t seem like psychopaths (like Marcus Aurelius) still seem like narcissists. Indeed, I’m not sure it’s possible to be an authoritarian emperor and not be at least a narcissist; should an ordinary person somehow find themselves in the role, I think they’d immediately set out to delegate authority and improve civil liberties.

This suggests that civilization was not so much a mistake as it was a crime—civilization was inflicted upon us by psychopaths and their greed for wealth and power. Like I said, not great for a “march of progress” view of history. Yet a lot has changed in the last few thousand years, and life in the 21st century at least seems overall pretty good—and almost certainly better than life on the African savannah 50,000 years ago.

In essence, what I think happened was we invented a technology to turn the tables of civilization, use the same tools psychopaths had used to oppress us as a means to contain them. This technology was called democracy. The institutions of democracy allowed us to convert government from a means by which psychopaths oppress and extract wealth from the populace to a means by which the populace could prevent psychopaths from committing wanton acts of violence.

Is it perfect? Certainly not. Indeed, there are many governments today that much better fit the “psychopath oppressing people” model (e.g. Russia, China, North Korea), and even in First World democracies there are substantial abuses of power and violations of human rights. In fact, psychopaths are overrepresented among the police and also among politicians. Perhaps there are superior modes of governance yet to be found that would further reduce the power psychopaths have and thereby make life better for everyone else.

Yet it remains clear that democracy is better than anarchy. This is not so much because anarchy results in everyone behaving badly and causes immediate chaos (as many people seem to erroneously believe), but because it results in enough people behaving badly to be a problem—and because some of those people are psychopaths who will take advantage of power vacuum to seize control for themselves.

Yes, most people are basically good. But enough people aren’t that it’s a problem.

Bregman seems to think that simply outnumbering the psychopaths is enough to keep them under control, but history clearly shows that it isn’t. We need institutions of governance to protect us. And for the most part, First World democracies do a fairly good job of that.

Indeed, I think Bregman’s perspective may be a bit clouded by being Dutch, as the Netherlands has one of the highest rates of trust in the world. Nearly 90% of people in the Netherlands trust their neighbors. Even the US has high levels of trust by world standards, at about 84%; a more typical country is India or Mexico at 64%, and the least-trusting countries are places like Gabon with 31% or Benin with a dismal 23%. Trust in government varies widely, from an astonishing 94% in Norway (then again, have you seen Norway? Their government is doing a bang-up job!) to 79% in the Netherlands, to closer to 50% in most countries (in this the US is more typical), all the way down to 23% in Nigeria (which seems equally justified). Some mysteries remain, like why more people trust the government in Russia than in Namibia. (Maybe people in Namibia are just more willing to speak their minds? They’re certainly much freer to do so.)

In other words, Dutch people are basically good. Not that the Netherlands has no psychopaths; surely they have a few just like everyone else. But they have strong, effective democratic institutions that provide both liberty and security for the vast majority of the population. And with the psychopaths under control, everyone else can feel free to trust each other and cooperate, even in the absence of obvious government support. It’s precisely because the government of the Netherlands is so unusually effective that someone living there can come to believe that government is unnecessary.

In short, Bregman is right that we should have donation boxes—and a lot of people seem to miss that (especially economists!). But he seems to forget that we need to keep them locked.

Cryptocurrency and its failures

Jan 30 JDN 2459620

It started out as a neat idea, though very much a solution in search of a problem. Using encryption, could we decentralize currency and eliminate the need for a central bank?

Well, it’s been a few years now, and we have now seen how well that went. Bitcoin recently crashed, but it has always been astonishingly volatile. As a speculative asset, such volatility is often tolerable—for many, even profitable. But as a currency, it is completely unbearable. People need to know that their money will be a store of value and a medium of exchange—and something that changes price one minute to the next is neither.

Some of cryptocurrency’s failures have been hilarious, like the ill-fated island called [yes, really] “Cryptoland”, which crashed and burned when they couldn’t find any investors to help them buy the island.

Others have been darkly comic, but tragic in their human consequences. Chief among these was the failed attempt by El Salvador to make Bitcoin an official currency.

At the time, President Bukele justified it by an economically baffling argument: Total value of all Bitcoin in the world is $680 billion, therefore if even 1% gets invested in El Salvador, GDP will increase by $6.8 billion, which is 25%!

First of all, that would only happen if 1% of all Bitcoin were invested in El Salvador each year—otherwise you’re looking at a one-time injection of money, not an increase in GDP.

But more importantly, this is like saying that the total US dollar supply is $6 trillion, (that’s physically cash; the actual money supply is considerably larger) so maybe by dollarizing your economy you can get 1% of that—$60 billion, baby! No, that’s not how any of this works. Dollarizing could still be a good idea (though it didn’t go all that well in El Salvador), but it won’t give you some kind of share in the US economy. You can’t collect dividends on US GDP.

It’s actually good how El Salvador’s experiment in bitcoin failed: Nobody bought into it in the first place. They couldn’t convince people to buy government assets that were backed by Bitcoin (perhaps because the assets were a strictly worse deal than just, er, buying Bitcoin). So the human cost of this idiotic experiment should be relatively minimal: It’s not like people are losing their homes over this.

That is, unless President Bukele doubles down, which he now appears to be doing. Even people who are big fans of cryptocurrency are unimpressed with El Salvador’s approach to it.

It would be one thing if there were some stable cryptocurrency that one could try pegging one’s national currency to, but there isn’t. Even so-called stablecoins are generally pegged to… regular currencies, typically the US dollar but also sometimes the Euro or a few other currencies. (I’ve seen the Australian Dollar and the Swiss Franc, but oddly enough, not the Pound Sterling.)

Or a country could try issuing its own cryptocurrency, as an all-digital currency instead of one that is partly paper. It’s not totally clear to me what advantages this would have over the current system (in which most of the money supply is bank deposits, i.e. already digital), but it would at least preserve the key advantage of having a central bank that can regulate your money supply.

But no, President Bukele decided to take an already-existing cryptocurrency, backed by nothing but the whims of the market, and make it legal tender. Somehow he missed the fact that a currency which rises and falls by 10% in a single day is generally considered bad.

Why? Is he just an idiot? I mean, maybe, though Bukele’s approval rating is astonishingly high. (And El Salvador is… mostly democratic. Unlike, say, Putin’s, I think these approval ratings are basically real.) But that’s not the only reason. My guess is that he was gripped by the same FOMO that has gripped everyone else who evangelizes for Bitcoin. The allure of easy money is often irresistible.

Consider President Bukele’s position. You’re governing a poor, war-torn country which has had economic problems of various types since its founding. When the national currency collapsed a generation ago, the country was put on the US dollar, but that didn’t solve the problem. So you’re looking for a better solution to the monetary doldrums your country has been in for decades.

You hear about a fancy new monetary technology, “cryptocurrency”, which has all the tech people really excited and seems to be making tons of money. You don’t understand a thing about it—hardly anyone seems to, in fact—but you know that people with a lot of insider knowledge of technology and finance are really invested in it, so it seems like there must be something good here. So, you decide to launch a program that will convert your country’s currency from the US dollar to one of these new cryptocurrencies—and you pick the most famous one, which is also extremely valuable, Bitcoin.

Could cryptocurrencies be the future of money, you wonder? Could this be the way to save your country’s economy?

Despite all the evidence that had already accumulated that cryptocurrency wasn’t working, I can understand why Bukele would be tempted by that dream. Just as we’d all like to get free money without having to work, he wanted to save his country’s economy without having to implement costly and unpopular reforms.

But there is no easy money. Not really. Some people get lucky; but they ultimately benefit from other people’s hard work.

The lesson here is deeper than cryptocurrency. Yes, clearly, it was a dumb idea to try to make Bitcoin a national currency, and it will get even dumber if Bukele really does double down on it. But more than that, we must all resist the lure of easy money. If it sounds too good to be true, it probably is.

A very Omicron Christmas

Dec 26 JDN 2459575

Remember back in spring of 2020 when we thought that this pandemic would quickly get under control and life would go back to normal? How naive we were.

The newest Omicron strain seems to be the most infectious yet—even people who are fully vaccinated are catching it. The good news is that it also seems to be less deadly than most of the earlier strains. COVID is evolving to spread itself better, but not be as harmful to us—much as influenza and cold viruses evolved. While weekly cases are near an all-time peek, weekly deaths are well below the worst they had been.

Indeed, at this point, it’s looking like COVID will more or less be with us forever. In the most likely scenario, the virus will continue to evolve to be more infectious but less lethal, and then we will end up with another influenza on our hands: A virus that can’t be eradicated, gets huge numbers of people sick, but only kills a relatively small number. At some point we will decide that the risk of getting sick is low enough that it isn’t worth forcing people to work remotely or maybe even wear masks. And we’ll relax various restrictions and get back to normal with this new virus a regular part of our lives.


Merry Christmas?

But it’s not all bad news. The vaccination campaign has been staggeringly successful—now the total number of vaccine doses exceeds the world population, so the average human being has been vaccinated for COVID at least once.

And while 5.3 million deaths due to the virus over the last two years sounds terrible, it should be compared against the baseline rate of 15 million deaths during that same interval, and the fact that worldwide death rates have been rapidly declining. Had COVID not happened, 2021 would be like 2019, which had nearly the lowest death rate on record, at 7,579 deaths per million people per year. As it is, we’re looking at something more like 10,000 deaths per million people per year (1%), or roughly what we considered normal way back in the long-ago times of… the 1980s. To get even as bad as things were in the 1950s, we would have to double our current death rate.

Indeed, there’s something quite remarkable about the death rate we had in 2019, before the pandemic hit: 7,579 per million is only 0.76%. A being with a constant annual death rate of 0.76% would have a life expectancy of over 130 years. This very low death rate is partly due to demographics: The current world population is unusually young and healthy because the world recently went through huge surges in population growth. Due to demographic changes the UN forecasts that our death rate will start to climb again as fertility falls and the average age increases; but they are still predicting it will stabilize at about 11,200 per million per year, which would be a life expectancy of 90. And that estimate could well be too pessimistic, if medical technology continues advancing at anything like its current rate.

We call it Christmas, but it’s really a syncretized amalgamation of holidays: Yule, Saturnalia, various Solstice celebrations. (Indeed, there’s no particular reason to think Jesus was even born in December.) Most Northern-hemisphere civilizations have some sort of Solstice holiday, and we’ve greedily co-opted traditions from most of them. The common theme really seems to be this:

Now it is dark, but band together and have hope, for the light shall return.

Diurnal beings in northerly latitudes instinctively fear the winter, when it becomes dark and cold and life becomes more hazardous—but we have learned to overcome this fear together, and we remind ourselves that light and warmth will return by ritual celebrations.

The last two years have made those celebrations particularly difficult, as we have needed to isolate ourselves in order to keep ourselves and others safe. Humans are fundamentally social at a level most people—even most scientists—do not seem to grasp: We need contact with other human beings as deeply and vitally as we need food or sleep.

The Internet has allowed us to get some level of social contact while isolated, which has been a tremendous boon; but I think many of us underestimated how much we would miss real face-to-face contact. I think much of the vague sense of malaise we’ve all been feeling even when we aren’t sick and even when we’ve largely adapted our daily routine to working remotely comes from this: We just aren’t getting the chance to see people in person nearly as often as we want—as often as we hadn’t even realized we needed.

So, if you do travel to visit family this holiday season, I understand your need to do so. But be careful. Get vaccinated—three times, if you can. Don’t have any contact with others who are at high risk if you do have any reason to think you’re infected.

Let’s hope next Christmas is better.

Low-skill jobs

Dec 5 JDN 2459554

I’ve seen this claim going around social media for awhile now: “Low-skill jobs are a classist myth created to justify poverty wages.”

I can understand why people would say things like this. I even appreciate that many low-skill jobs are underpaid and unfairly stigmatized. But it’s going a bit too far to claim that there is no such thing as a low-skill job.

Suppose all the world’s physicists and all the world’s truckers suddenly had to trade jobs for a month. Who would have a harder time?

If a mathematician were asked to do the work of a janitor, they’d be annoyed. If a janitor were asked to do the work of a mathematician, they’d be completely nonplussed.

I could keep going: Compare robotics engineers to dockworkers or software developers to fruit pickers.

Higher pay does not automatically equate to higher skills: welders are clearly more skilled than stock traders. Give any welder a million-dollar account and a few days of training, and they could do just as well as the average stock trader (which is to say, worse than the S&P 500). Give any stock trader welding equipment and a similar amount of training, and they’d be lucky to not burn their fingers off, much less actually usefully weld anything.

This is not to say that any random person off the street could do just as well as a janitor or dockworker as someone who has years of experience at that job. It is simply to say that they could do better—and pick up the necessary skills faster—than a random person trying to work as a physicist or software developer.

Moreover, this does justify some difference in pay. If some jobs are easier than others, in the sense that more people are qualified to do them, then the harder jobs will need to pay more in order to attract good talent—if they didn’t, they’d risk their high-skill workers going and working at the low-skill jobs instead.

This is of course assuming all else equal, which is clearly not the case. No two jobs are the same, and there are plenty of other considerations that go into choosing someone’s wage: For one, not simply what skills are required, but also the effort and unpleasantness involved in doing the work. I’m entirely prepared to believe that being a dockworker is less fun than being a physicist, and this should reduce the differential in pay between them. Indeed, it may have: Dockworkers are paid relatively well as far as low-skill jobs go—though nowhere near what physicists are paid. Then again, productivity is also a vital consideration, and there is a general tendency that high-skill jobs tend to be objectively more productive: A handful of robotics engineers can do what was once the work of hundreds of factory laborers.

There are also ways for a worker to be profitable without being particularly productive—that is, to be very good at rent-seeking. This is arguably the case for lawyers and real estate agents, and undeniably the case for derivatives traders and stockbrokers. Corporate executives aren’t stupid; they wouldn’t pay these workers astronomical salaries if they weren’t making money doing so. But it’s quite possible to make lots of money without actually producing anything of particular value for human society.

But that doesn’t mean that wages are always fair. Indeed, I dare say they typically are not. One of the most important determinants of wages is bargaining power. Unions don’t increase skill and probably don’t increase productivity—but they certainly increase wages, because they increase bargaining power.

And this is also something that’s correlated with lower levels of skill, because the more people there are who know how to do what you do, the harder it is for you to make yourself irreplaceable. A mathematician who works on the frontiers of conformal geometry or Teichmueller theory may literally be one of ten people in the world who can do what they do (quite frankly, even the number of people who know what they do is considerably constrained, though probably still at least in the millions). A dockworker, even one who is particularly good at loading cargo skillfully and safely, is still competing with millions of other people with similar skills. The easier a worker is to replace, the less bargaining power they have—in much the same way that a monopoly has higher profits than an oligopoly, which has higher profits that a competitive market.

This is why I support unions. I’m also a fan of co-ops, and an ardent supporter of progressive taxation and safety regulations. So don’t get me wrong: Plenty of low-skill workers are mistreated and underpaid, and they deserve better.

But that doesn’t change the fact that it’s a lot easier to be a janitor than a physicist.

Risk compensation is not a serious problem

Nov 28 JDN 2459547

Risk compensation. It’s one of those simple but counter-intuitive ideas that economists love, and it has been a major consideration in regulatory policy since the 1970s.

The idea is this: The risk we face in our actions is partly under our control. It requires effort to reduce risk, and effort is costly. So when an external source, such as a government regulation, reduces our risk, we will compensate by reducing the effort we expend, and thus our risk will decrease less, or maybe not at all. Indeed, perhaps we’ll even overcompensate and make our risk worse!

It’s often used as an argument against various kinds of safety efforts: Airbags will make people drive worse! Masks will make people go out and get infected!

The basic theory here is sound: Effort to reduce risk is costly, and people try to reduce costly things.

Indeed, it’s theoretically possible that risk compensation could yield the exact same risk, or even more risk than before—or at least, I wasn’t able to prove that for any possible risk profile and cost function it couldn’t happen.

But I wasn’t able to find any actual risk profiles or cost functions that would yield this result, even for a quite general form. Here, let me show you.

Let’s say there’s some possible harm H. There is also some probability that it will occur, which you can mitigate with some choice x. For simplicity let’s say that it’s one-to-one, so that your risk of H occurring is precisely 1-x. Since probabilities must be between 0 and 1, thus so must x.

Reducing that risk costs effort. I won’t say much about that cost, except to call it c(x) and assume the following:

(1) It is increasing: More effort reduces risk more and costs more than less effort.

(2) It is convex: Reducing risk from a high level to a low level (e.g. 0.9 to 0.8) costs less than reducing it from a low level to an even lower level (e.g. 0.2 to 0.1).

These both seem like eminently plausible—indeed, nigh-unassailable—assumptions. And they result in the following total expected cost (the opposite of your expected utility):

(1-x)H + c(x)

Now let’s suppose there’s some policy which will reduce your risk by a factor r, which must be between 0 and 1. Your cost then becomes:

r(1-x)H + c(x)

Minimizing this yields the following result:

rH = c'(x)

where c'(x) is the derivative of c(x). Since c(x) is increasing and convex, c'(x) is positive and increasing.

Thus, if I make r smaller—an external source of less risk—then I will reduce the optimal choice of x. This is risk compensation.

But have I reduced or increased the amount of risk?

The total risk is r(1-x); since r decreased and so did x, it’s not clear whether this went up or down. Indeed, it’s theoretically possible to have cost functions that would make it go up—but I’ve never seen one.

For instance, suppose we assume that c(x) = axb, where a and b are constants. This seems like a pretty general form, doesn’t it? To maintain the assumption that c(x) is increasing and convex, I need a > 0 and b > 1. (If 0 < b < 1, you get a function that’s increasing but concave. If b=1, you get a linear function and some weird corner solutions where you either expend no effort at all or all possible effort.)

Then I’m trying to minimize:

r(1-x)H + axb

This results in a closed-form solution for x:

x = (rH/ab)^(1/(b-1))

Since b>1, 1/(b-1) > 0.


Thus, the optimal choice of x is increasing in rH and decreasing in ab. That is, reducing the harm H or the overall risk r will make me put in less effort, while reducing the cost of effort (via either a or b) will make me put in more effort. These all make sense.

Can I ever increase the overall risk by reducing r? Let’s see.


My total risk r(1-x) is therefore:

r(1-x) = r[1-(rH/ab)^(1/(b-1))]

Can making r smaller ever make this larger?

Well, let’s compare it against the case when r=1. We want to see if there’s a case where it’s actually larger.

r[1-(rH/ab)^(1/(b-1))] > [1-(H/ab)^(1/(b-1))]

r – r^(1/(b-1)) (H/ab)^(1/(b-1)) > 1 – (H/ab)^(1/(b-1))

For this to be true, we would need r > 1, which would mean we didn’t reduce risk at all. Thus, reducing risk externally reduces total risk even after compensation.

Now, to be fair, this isn’t a fully general model. I had to assume some specific functional forms. But I didn’t assume much, did I?

Indeed, there is a fully general argument that externally reduced risk will never harm you. It’s quite simple.

There are three states to consider: In state A, you have your original level of risk and your original level of effort to reduce it. In state B, you have an externally reduced level of risk and your original level of effort. In state C, you have an externally reduced level of risk, and you compensate by reducing your effort.

Which states make you better off?

Well, clearly state B is better than state A: You get reduced risk at no cost to you.

Furthermore, state C must be better than state B: You voluntarily chose to risk-compensate precisely because it made you better off.

Therefore, as long as your preferences are rational, state C is better than state A.

Externally reduced risk will never make you worse off.

QED. That’s it. That’s the whole proof.

But I’m a behavioral economist, am I not? What if people aren’t being rational? Perhaps there’s some behavioral bias that causes people to overcompensate for reduced risks. That’s ultimately an empirical question.

So, what does the empirical data say? Risk compensation is almost never a serious problem in the real world. Measures designed to increase safety, lo and behold, actually increase safety. Removing safety regulations, astonishingly enough, makes people less safe and worse off.

If we ever do find a case where risk compensation is very large, then I guess we can remove that safety measure, or find some way to get people to stop overcompensating. But in the real world this has basically never happened.

It’s still a fair question whether any given safety measure is worth the cost: Implementing regulations can be expensive, after all. And while many people would like to think that “no amount of money is worth a human life”, nobody does—or should, or even can—act like that in the real world. You wouldn’t drive to work or get out of bed in the morning if you honestly believed that.

If it would cost $4 billion to save one expected life, it’s definitely not worth it. Indeed, you should still be able to see that even if you don’t think lives can be compared with other things—because $4 billion could save an awful lot of lives if you spent it more efficiently. (Probablyover a million, in fact, as current estimates of the marginal cost to save one life are about $2,300.) Inefficient safety interventions don’t just cost money—they prevent us from doing other, more efficient safety interventions.

And as for airbags and wearing masks to prevent COVID? Yes, definitely 100% worth it, as both interventions have already saved tens if not hundreds of thousands of lives.