The Efficient Roulette Hypothesis

Nov 27 JDN 2459911

The efficient market hypothesis is often stated in several different ways, and these are often treated as equivalent. There are at least three very different definitions of it that people seem to use interchangeably:

  1. Market prices are optimal and efficient.
  2. Market prices aggregate and reflect all publicly-available relevant information.
  3. Market prices are difficult or impossible to predict.

The first reading, I will call the efficiency hypothesis, because, well, it is what we would expect a phrase like “efficient market hypothesis” to mean. The ordinary meaning of those words would imply that we are asserting that market prices are in some way optimal or near-optimal, that markets get prices “right” in some sense at least the vast majority of the time.

The second reading I’ll call the information hypothesis; it implies that market prices are an information aggregation mechanism which automatically incorporates all publicly-available information. This already seems quite different from efficiency, but it seems at least tangentially related, since information aggregation could be one useful function that markets serve.

The third reading I will call the unpredictability hypothesis; it says simply that market prices are very difficult to predict, and so you can’t reasonably expect to make money by anticipating market price changes far in advance of everyone else. But as I’ll get to in more detail shortly, that doesn’t have the slightest thing to do with efficiency.

The empirical data in favor of the unpredictability hypothesis is quite overwhelming. It’s exceedingly hard to beat the market, and for most people, most of the time, the smartest way to invest is just to buy a diversified portfolio and let it sit.

The empirical data in favor of the information hypothesis is mixed, but it’s at least plausible; most prices do seem to respond to public announcements of information in ways we would expect, and prediction markets can be surprisingly accurate at forecasting the future.

The empirical data in favor of the efficiency hypothesis, on the other hand, is basically nonexistent. On the one hand this is a difficult hypothesis to test directly, since it isn’t clear what sort of benchmark we should be comparing against—so it risks being not even wrong. But if you consider basically any plausible standard one could try to set for how an efficient market would run, our actual financial markets in no way resemble it. They are erratic, jumping up and down for stupid reasons or no reason at all. They are prone to bubbles, wildly overvaluing worthless assets. They have collapsed governments and ruined millions of lives without cause. They have resulted in the highest-paying people in the world doing jobs that accomplish basically nothing of genuine value. They are, in short, a paradigmatic example of what inefficiency looks like.

Yet, we still have economists who insist that “the efficient market hypothesis” is a proven fact, because the unpredictability hypothesis is clearly correct.

I do not think this is an accident. It’s not a mistake, or an awkwardly-chosen technical term that people are misinterpreting.

This is a motte and bailey doctrine.

Motte-and-bailey was a strategy in medieval warfare. Defending an entire region is very difficult, so instead what was often done was constructing a small, highly defensible fortification—the motte—while accepting that the land surrounding it—the bailey—would not be well-defended. Most of the time, the people stayed on the bailey, where the land was fertile and it was relatively pleasant to live. But should they be attacked, they could retreat to the motte and defend themselves until the danger was defeated.

A motte-and-bailey doctrine is an analogous strategy used in argumentation. You use the same words for two different versions of an idea: The motte is a narrow, defensible core of your idea that you can provide strong evidence for, but it isn’t very strong and may not even be interesting or controversial. The bailey is a broad, expansive version of your idea that is interesting and controversial and leads to lots of significant conclusions, but can’t be well-supported by evidence.

The bailey is the efficiency hypothesis: That market prices are optimal and we are fools to try to intervene or even regulate them because the almighty Invisible Hand is superior to us.

The motte is the unpredictability hypothesis: Market prices are very hard to predict, and most people who try to make money by beating the market fail.

By referring to both of these very different ideas as “the efficient market hypothesis”, economists can act as if they are defending the bailey, and prescribe policies that deregulate financial markets on the grounds that they are so optimal and efficient; but then when pressed for evidence to support their beliefs, they can pivot to the motte, and merely show that markets are unpredictable. As long as people don’t catch on and recognize that these are two very different meanings of “the efficient market hypothesis”, then they can use the evidence for unpredictability to support their goal of deregulation.

Yet when you look closely at this argument, it collapses. Unpredictability is not evidence of efficiency; if anything, it’s the opposite. Since the world doesn’t really change on a minute-by-minute basis, an efficient system should actually be relatively predictable in the short term. If prices reflected the real value of companies, they would change only very gradually, as the fortunes of the company change as a result of real-world events. An earthquake or a discovery of a new mine would change stock prices in relevant industries; but most of the time, they’d be basically flat. The occurrence of minute-by-minute or even second-by-second changes in prices basically proves that we are not tracking any genuine changes in value.

Roulette wheels are extremely unpredictable by design—by law, even—and yet no one would accuse them of being an efficient way of allocating resources. If you bet on roulette wheels and try to beat the house, you will almost surely fail, just as you would if you try to beat the stock market—and dare I say, for much the same reasons?

So if we’re going to insist that “efficiency” just means unpredictability, rather than actual, you know, efficiency, then we should all speak of the Efficient Roulette Hypothesis. Anything we can’t predict is now automatically “efficient” and should therefore be left unregulated.

Now is the time for CTCR

Nov 6 JDN 2459890

We live in a terrifying time. As Ukraine gains ground in its war with Russia, thanks in part to the deployment of high-tech weapons from NATO, Vladimir Putin has begun to make thinly-veiled threats of deploying his nuclear arsenal in response. No one can be sure how serious he is about this. Most analysts believe that he was referring to the possible use of small-scale tactical nuclear weapons, not a full-scale apocalyptic assault. Many think he’s just bluffing and wouldn’t resort to any nukes at all. Putin has bluffed in the past, and could be doing so again. Honestly, “this is not a bluff” is exactly the sort of thing you say when you’re bluffing—people who aren’t bluffing have better ways of showing it. (It’s like whenever Trump would say “Trust me”, and you’d know immediately that this was an especially good time not to. Of course, any time is a good time not to trust Trump.)

(By the way, financial news is a really weird thing: I actually found this article discussing how a nuclear strike would be disastrous for the economy. Dude, if there’s a nuclear strike, we’ve got much bigger things to worry about than the economy. It reminds me of this XKCD.)

But if Russia did launch nuclear weapons, and NATO responded with its own, it could trigger a nuclear war that would kill millions in a matter of hours. So we need to be prepared, and think very carefully about the best way to respond.

The current debate seems to be over whether to use economic sanctions, conventional military retaliation, or our own nuclear weapons. Well, we already have economic sanctions, and they aren’t making Russia back down. (Though they probably are hurting its war effort, so I’m all for keeping them in place.) And if we were to use our own nuclear weapons, that would only further undermine the global taboo against nuclear weapons and could quite possibly trigger that catastrophic nuclear war. Right now, NATO seems to be going for a bluff of our own: We’ll threaten an overwhelming nuclear response, but then we obviously won’t actually carry it out because that would be murder-suicide on a global scale.

That leaves conventional military retaliation. What sort of retaliation? Several years ago I came up with a very specific method of conventional retaliation I call credible targeted conventional response (CTCR, which you can pronounce “cut-core”). I believe that now would be an excellent time to carry it out.

The basic principle of CTCR is really quite simple: Don’t try to threaten entire nations. A nation is an abstract entity. Threaten people. Decisions are made by people. The response to Vladimir Putin launching nuclear weapons shouldn’t be to kill millions of innocent people in Russia that probably mean even less to Putin than they do to us. It should be to kill Vladimir Putin.

How exactly to carry this out is a matter for military strategists to decide. There are a variety of weapons at our disposal, ranging from the prosaic (covert agents) to the exotic (precision strikes from high-altitude stealth drones). Indeed, I think we should leave it purposefully vague, so that Putin can’t try to defend himself against some particular mode of attack. The whole gamut of conventional military responses should be considered on the table, from a single missile strike to a full-scale invasion.

But the basic goal is quite simple: Launching a nuclear weapon is one of the worst possible war crimes, and it must be met with an absolute commitment to bring the perpetrator to justice. We should be willing to accept some collateral damage, even a lot of collateral damage; carpet-bombing a city shouldn’t be considered out of the question. (If that sounds extreme, consider that we’ve done it before for much weaker reasons.) The only thing that we should absolutely refuse to do is deploy nuclear weapons ourselves.

The great advantage of this strategy—even aside from being obviously more humane than nuclear retaliation—is that it is more credible. It sounds more like something we’d actually be willing to do. And in fact we likely could even get help from insiders in Russia, because there are surely many people in the Russian government who aren’t so loyal to Putin that they’d want him to get away with mass murder. It might not just be an assassination; it might end up turning into a coup. (Also something we’ve done for far weaker reasons.)


This is how we preserve the taboo on nuclear weapons: We refuse to use them, but otherwise stop at nothing to kill anyone who does use them.

I therefore call upon the world to make this threat:

Launch a nuclear weapon, Vladimir Putin, and we will kill you. Not your armies, not your generals—you. It could be a Tomahawk missile at the Kremlin. It could be a car bomb in your limousine, or a Stinger missile at Aircraft One. It could be a sniper at one of your speeches. Or perhaps we’ll poison your drink with polonium, like you do to your enemies. You won’t know when or where. You will live the rest of your short and miserable life in terror. There will be nowhere for you to hide. We will stop at nothing. We will deploy every available resource around the world, and it will be our top priority. And you will die.

That’s how you threaten a psychopath. And it’s what we must do in order to keep the world safe from nuclear war.

Updating your moral software

Oct 23 JDN 2459876

I’ve noticed an odd tendency among politically active people, particular social media slacktivists (a term I do not use pejoratively: slacktivism is highly cost-effective). They adopt new ideas very rapidly, trying to stay on the cutting edge of moral and political discourse—and then they denigrate and disparage anyone who fails to do the same as an irredeemable monster.

This can take many forms, such as “if you don’t buy into my specific take on Critical Race Theory, you are a racist”, “if you have any uncertainty about the widespread use of puberty blockers you are a transphobic bigot”, “if you give any credence to the medical consensus on risks of obesity you are fatphobic“, “if you think disabilities should be cured you’re an ableist”, and “if you don’t support legalizing abortion in all circumstances you are a misogynist”.

My intention here is not to evaluate any particular moral belief, though I’ll say the following: I am skeptical of Critical Race Theory, especially the 1619 project which seems to be to include substantial distortions of history. I am cautiously supportive of puberty blockers, because the medical data on their risks are ambiguous—while the sociological data on how much happier trans kids are when accepted are totally unambiguous. I am well aware of the medical data saying that the risks of obesity are overblown (but also not negligible, particular for those who are very obese). Speaking as someone with a disability that causes me frequent, agonizing pain, yes, I want disabilities to be cured, thank you very much; accommodations are nice in the meantime, but the best long-term solution is to not need accommodations. (I’ll admit to some grey areas regarding certain neurodivergences such as autism and ADHD, and I would never want to force cures on people who don’t want them; but paralysis, deafness, blindness, diabetes, depression, and migraine are all absolutely worth finding cures for—the QALY at stake here are massive—and it’s silly to say otherwise.) I think abortion should generally be legal and readily available in the first trimester (which is when most abortions happen anyway), but much more strictly regulated thereafter—but denying it to children and rape victims is a human rights violation.

What I really want to talk about today is not the details of the moral belief, but the attitude toward those who don’t share it. There are genuine racists, transphobes, fatphobes, ableists, and misogynists in the world. There are also structural institutions that can lead to discrimination despite most of the people involved having no particular intention to discriminate. It’s worthwhile to talk about these things, and to try to find ways to fix them. But does calling anyone who disagrees with you a monster accomplish that goal?

This seems particularly bad precisely when your own beliefs are so cutting-edge. If you have a really basic, well-established sort of progressive belief like “hiring based on race should be illegal”, “women should be allowed to work outside the home” or “sodomy should be legal”, then people who disagree with you pretty much are bigots. But when you’re talking about new, controversial ideas, there is bound to be some lag; people who adopted the last generation’s—or even the last year’s—progressive beliefs may not yet be ready to accept the new beliefs, and that doesn’t make them bigots.

Consider this: Were you born believing in your current moral and political beliefs?

I contend that you were not. You may have been born intelligent, open-minded, and empathetic. You may have been born into a progressive, politically-savvy family. But the fact remains that any particular belief you hold about race, or gender, or ethics was something you had to learn. And if you learned it, that means that at some point you didn’t already know it. How would you have felt back then, if, instead of calmly explaining it to you, people called you names for not believing in it?

Now, perhaps it is true that as soon as you heard your current ideas, you immediately adopted them. But that may not be the case—it may have taken you some time to learn or change your mind—and even if it was, it’s still not fair to denigrate anyone who takes a bit longer to come around. There are many reasons why someone might not be willing to change their beliefs immediately, and most of them are not indicative of bigotry or deep moral failings.

It may be helpful to think about this in terms of updating your moral software. You were born with a very minimal moral operating system (emotions such as love and guilt, the capacity for empathy), and over time you have gradually installed more and more sophisticated software on top of that OS. If someone literally wasn’t born with the right OS—we call these people psychopaths—then, yes, you have every right to hate, fear, and denigrate them. But most of the people we’re talking about do have that underlying operating system, they just haven’t updated all their software to the same version as yours. It’s both unfair and counterproductive to treat them as irredeemably defective simply because they haven’t updated to the newest version yet. They have the hardware, they have the operating system; maybe their download is just a little slower than yours.

In fact, if you are very fast to adopt new, trendy moral beliefs, you may in fact be adopting them too quickly—they haven’t been properly vetted by human experience just yet. You can think of this as like a beta version: The newest update has some great new features, but it’s also buggy and unstable. It may need to be fixed before it is really ready for widespread release. If that’s the case, then people aren’t even wrong not to adopt them yet! It isn’t necessarily bad that you have adopted the new beliefs; we need beta testers. But you should be aware of your status as a beta tester and be prepared both to revise your own beliefs if needed, and also to cut other people slack if they disagree with you.

I understand that it can be immensely frustrating to be thoroughly convinced that something is true and important and yet see so many people disagreeing with it. (I am an atheist activist after all, so I absolutely know what that feels like.) I understand that it can be immensely painful to watch innocent people suffer because they have to live in a world where other people have harmful beliefs. But you aren’t changing anyone’s mind or saving anyone from harm by calling people names. Patience, tact, and persuasion will win the long game, and the long game is really all we have.

And if it makes you feel any better, the long game may not be as long as it seems. The arc of history may have tighter curvature than we imagine. We certainly managed a complete flip of the First World consensus on gay marriage in just a single generation. We may be able to achieve similarly fast social changes in other areas too. But we haven’t accomplished the progress we have so far by being uncharitable or aggressive toward those who disagree.

I am emphatically not saying you should stop arguing for your beliefs. We need you to argue for your beliefs. We need you to argue forcefully and passionately. But when doing so, try not to attack the people who don’t yet agree with you—for they are precisely the people we need to listen to you.

On (gay) marriage

Oct 9 JDN 2459862

This post goes live on my first wedding anniversary. Thus, as you read this, I will have been married for one full year.

Honestly, being married hasn’t felt that different to me. This is likely because we’d been dating since 2012 and lived together for several years before actually getting married. It has made some official paperwork more convenient, and I’ve reached the point where I feel naked without my wedding band; but for the most part our lives have not really changed.

And perhaps this is as it should be. Perhaps the best way to really know that you should get married is to already feel as though you are married, and just finally get around to making it official. Perhaps people for whom getting married is a momentous change in their lives (as opposed to simply a formal announcement followed by a celebration) are people who really shouldn’t be getting married just yet.

A lot of things in my life—my health, my career—have not gone very well in this past year. But my marriage has been only a source of stability and happiness. I wouldn’t say we never have conflict, but quite honestly I was expecting a lot more challenges and conflicts from the way I’d heard other people talk about marriage in the past. All of my friends who have kids seem to be going through a lot of struggles as a result of that (which is one of several reasons we keep procrastinating on looking into adoption), but marriage itself does not appear to be any more difficult than friendship—in fact, maybe easier.

I have found myself oddly struck by how un-important it has been that my marriage is to a same-sex partner. I keep expecting people to care—to seem uncomfortable, to be resistant, or simply to be surprised—and it so rarely happens.

I think this is probably generational: We Millennials grew up at the precise point in history when the First World suddenly decided, all at once, that gay marriage was okay.

Seriously, look at this graph. I’ve made it combining this article using data from the General Social Survey, and this article from Pew:

Until around 1990—when I was 2 years old—support for same-sex marriage was stable and extremely low: About 10% of Americans supported it (presumably most of them LGBT!), and over 70% opposed it. Then, quite suddenly, attitudes began changing, and by 2019, over 60% of Americans supported it and only 31% opposed it.

That is, within a generation, we went from a country where almost no one supported gay marriage to a country where same-sex marriage is so popular that any major candidate who opposed it would almost certainly lose a general election. (They might be able to survive a Republican primary, as Republican support for same-sex marriage is only about 44%—about where it was among Democrats in the early 2000s.)

This is a staggering rate of social change. If development economics is the study of what happened in South Korea from 1950-2000, I think political science should be the study of what happened to attitudes on same-sex marriage in the US from 1990-2020.

And of course it isn’t just the US. Similar patterns can be found across Western Europe, with astonishingly rapid shifts from near-universal opposition to near-universal support within a generation.

I don’t think I have been able to fully emotionally internalize this shift. I grew up in a world where homophobia was mainstream, where only the most radical left-wing candidates were serious about supporting equal rights and representation for LGBT people. And suddenly I find myself in a world where we are actually accepted and respected as equals, and I keep waiting for the other shoe to drop. Aren’t you the same people who told me as a teenager that I was a sexual deviant who deserved to burn in Hell? But now you’re attending my wedding? And offering me joint life insurance policies? My own extended family members treat me differently now than they did when I was a teenager, and I don’t quite know how to trust that the new way is the true way and not some kind of facade that could rapidly disappear.

I think this sort of generational trauma may never fully heal, in which case it will be the generation after us—the Zoomers, I believe we’re calling them now—who will actually live in this new world we created, while the rest of us forever struggle to accept that things are not as we remember them. Once bitten, we remain forever twice shy, lest attitudes regress as suddenly as they advanced.

Then again, it seems that Zoomers may be turning against the institution of marriage in general. As the meme says: “Boomers: No gay marriage. Millennials: Yes gay marriage. Gen Z: Yes gay, no marriage.” Maybe that’s for the best; maybe the future of humanity is for personal relationships to be considered no business of the government at all. But for now at least, equal marriage is clearly much better than unequal marriage, and the First World seems to have figured that out blazing fast.

And of course the rest of the world still hasn’t caught up. While trends are generally in a positive direction, there are large swaths of the world where even very basic rights for LGBT people are opposed by most of the population. As usual, #ScandinaviaIsBetter, with over 90% support for LGBT rights; and, as usual, Sub-Saharan Africa is awful, with support in Kenya, Uganda and Nigeria not even hitting 20%.

The injustice of talent

Sep 4 JDN 2459827

Consider the following two principles of distributive justice.

A: People deserve to be rewarded in proportion to what they accomplish.

B: People deserve to be rewarded in proportion to the effort they put in.

Both principles sound pretty reasonable, don’t they? They both seem like sensible notions of fairness, and I think most people would broadly agree with both them.

This is a problem, because they are mutually contradictory. We cannot possibly follow them both.

For, as much as our society would like to pretend otherwise—and I think this contradiction is precisely why our society would like to pretend otherwise—what you accomplish is not simply a function of the effort you put in.

Don’t get me wrong; it is partly a function of the effort you put in. Hard work does contribute to success. But it is neither sufficient, nor strictly necessary.

Rather, success is a function of three factors: Effort, Environment, and Talent.

Effort is the work you yourself put in, and basically everyone agrees you deserve to be rewarded for that.

Environment includes all the outside factors that affect you—including both natural and social environment. Inheritance, illness, and just plain luck are all in here, and there is general, if not universal, agreement that society should make at least some efforts to minimize inequality created by such causes.

And then, there is talent. Talent includes whatever capacities you innately have. It could be strictly genetic, or it could be acquired in childhood or even in the womb. But by the time you are an adult and responsible for your own life, these factors are largely fixed and immutable. This includes things like intelligence, disability, even height. The trillion-dollar question is: How much should we reward talent?

For talent clearly does matter. I will never swim like Michael Phelps, run like Usain Bolt, or shoot hoops like Steph Curry. It doesn’t matter how much effort I put in, how many hours I spend training—I will never reach their level of capability. Never. It’s impossible. I could certainly improve from my current condition; perhaps it would even be good for me to do so. But there are certain hard fundamental constraints imposed by biology that give them more potential in these skills than I will ever have.

Conversely, there are likely things I can do that they will never be able to do, though this is less obvious. Could Michael Phelps never be as good a programmer or as skilled a mathematician as I am? He certainly isn’t now. Maybe, with enough time, enough training, he could be; I honestly don’t know. But I can tell you this: I’m sure it would be harder for him than it was for me. He couldn’t breeze through college-level courses in differential equations and quantum mechanics the way I did. There is something I have that he doesn’t, and I’m pretty sure I was born with it. Call it spatial working memory, or mathematical intuition, or just plain IQ. Whatever it is, math comes easy to me in not so different a way from how swimming comes easy to Michael Phelps. I have talent for math; he has talent for swimming.

Moreover, these are not small differences. It’s not like we all come with basically the same capabilities with a little bit of variation that can be easily washed out by effort. We’d like to believe that—we have all sorts of cultural tropes that try to inculcate that belief in us—but it’s obviously not true. The vast majority of quantum physicists are people born with high IQ. The vast majority of pro athletes are people born with physical prowess. The vast majority of movie stars are people born with pretty faces. For many types of jobs, the determining factor seems to be talent.

This isn’t too surprising, actually—even if effort matters a lot, we would still expect talent to show up as the determining factor much of the time.

Let’s go back to that contest function model I used to analyze the job market awhile back (the one that suggests we spend way too much time and money in the hiring process). This time let’s focus on the perspective of the employees themselves.

Each employee has a level of talent, h. Employee X has talent hx and exerts effort x, producing output of a quality that is the product of these: hx x. Similarly, employee Z has talent hz and exerts effort z, producing output hz z.

Then, there’s a certain amount of luck that factors in. The most successful output isn’t necessarily the best, or maybe what should have been the best wasn’t because some random circumstance prevailed. But we’ll say that the probability an individual succeeds is proportional to the quality of their output.

So the probability that employee X succeeds is: hx x / ( hx x + hz z)

I’ll skip the algebra this time (if you’re interested you can look back at that previous post), but to make a long story short, in Nash equilibrium the two employees will exert exactly the same amount of effort.

Then, which one succeeds will be entirely determined by talent; because x = z, the probability that X succeeds is hx / ( hx + hz).

It’s not that effort doesn’t matter—it absolutely does matter, and in fact in this model, with zero effort you get zero output (which isn’t necessarily the case in real life). It’s that in equilibrium, everyone is exerting the same amount of effort; so what determines who wins is innate talent. And I gotta say, that sounds an awful lot like how professional sports works. It’s less clear whether it applies to quantum physicists.

But maybe we don’t really exert the same amount of effort! This is true. Indeed, it seems like actually effort is easier for people with higher talent—that the same hour spent running on a track is easier for Usain Bolt than for me, and the same hour studying calculus is easier for me than it would be for Usain Bolt. So in the end our equilibrium effort isn’t the same—but rather than compensating, this effect only serves to exaggerate the difference in innate talent between us.

It’s simple enough to generalize the model to allow for such a thing. For instance, I could say that the cost of producing a unit of effort is inversely proportional to your talent; then instead of hx / ( hx + hz ), in equilibrium the probability of X succeeding would become hx2 / ( hx2 + hz2). The equilibrium effort would also be different, with x > z if hx > hz.

Once we acknowledge that talent is genuinely important, we face an ethical problem. Do we want to reward people for their accomplishment (A), or for their effort (B)? There are good cases to be made for each.

Rewarding for accomplishment, which we might call meritocracy,will tend to, well, maximize accomplishment. We’ll get the best basketball players playing basketball, the best surgeons doing surgery. Moreover, accomplishment is often quite easy to measure, even when effort isn’t.

Rewarding for effort, which we might call egalitarianism, will give people the most control over their lives, and might well feel the most fair. Those who succeed will be precisely those who work hard, even if they do things they are objectively bad at. Even people who are born with very little talent will still be able to make a living by working hard. And it will ensure that people do work hard, which meritocracy can actually fail at: If you are extremely talented, you don’t really need to work hard because you just automatically succeed.

Capitalism, as an economic system, is very good at rewarding accomplishment. I think part of what makes socialism appealing to so many people is that it tries to reward effort instead. (Is it very good at that? Not so clear.)

The more extreme differences are actually in terms of disability. There’s a certain baseline level of activities that most people are capable of, which we think of as “normal”: most people can talk; most people can run, if not necessarily very fast; most people can throw a ball, if not pitch a proper curveball. But some people can’t throw. Some people can’t run. Some people can’t even talk. It’s not that they are bad at it; it’s that they are literally not capable of it. No amount of effort could have made Stephen Hawking into a baseball player—not even a bad one.

It’s these cases when I think egalitarianism becomes most appealing: It just seems deeply unfair that people with severe disabilities should have to suffer in poverty. Even if they really can’t do much productive work on their own, it just seems wrong not to help them, at least enough that they can get by. But capitalism by itself absolutely would not do that—if you aren’t making a profit for the company, they’re not going to keep you employed. So we need some kind of social safety net to help such people. And it turns out that such people are quite numerous, and our current system is really not adequate to help them.

But meritocracy has its pull as well. Especially when the job is really important—like surgery, not so much basketball—we really want the highest quality work. It’s not so important whether the neurosurgeon who removes your tumor worked really hard at it or found it a breeze; what we care about is getting that tumor out.

Where does this leave us?

I think we have no choice but to compromise, on both principles. We will reward both effort and accomplishment, to greater or lesser degree—perhaps varying based on circumstances. We will never be able to entirely reward accomplishment or entirely reward effort.

This is more or less what we already do in practice, so why worry about it? Well, because we don’t like to admit that it’s what we do in practice, and a lot of problems seem to stem from that.

We have people acting like billionaires are such brilliant, hard-working people just because they’re rich—because our society rewards effort, right? So they couldn’t be so successful if they didn’t work so hard, right? Right?

Conversely, we have people who denigrate the poor as lazy and stupid just because they are poor. Because it couldn’t possibly be that their circumstances were worse than yours? Or hey, even if they are genuinely less talented than you—do less talented people deserve to be homeless and starving?

We tell kids from a young age, “You can be whatever you want to be”, and “Work hard and you’ll succeed”; and these things simply aren’t true. There are limitations on what you can achieve through effort—limitations imposed by your environment, and limitations imposed by your innate talents.

I’m not saying we should crush children’s dreams; I’m saying we should help them to build more realistic dreams, dreams that can actually be achieved in the real world. And then, when they grow up, they either will actually succeed, or when they don’t, at least they won’t hate themselves for failing to live up to what you told them they’d be able to do.

If you were wondering why Millennials are so depressed, that’s clearly a big part of it: We were told we could be and do whatever we wanted if we worked hard enough, and then that didn’t happen; and we had so internalized what we were told that we thought it had to be our fault that we failed. We didn’t try hard enough. We weren’t good enough. I have spent years feeling this way—on some level I do still feel this way—and it was not because adults tried to crush my dreams when I was a child, but on the contrary because they didn’t do anything to temper them. They never told me that life is hard, and people fail, and that I would probably fail at my most ambitious goals—and it wouldn’t be my fault, and it would still turn out okay.

That’s really it, I think: They never told me that it’s okay not to be wildly successful. They never told me that I’d still be good enough even if I never had any great world-class accomplishments. Instead, they kept feeding me the lie that I would have great world-class accomplishments; and then, when I didn’t, I felt like a failure and I hated myself. I think my own experience may be particularly extreme in this regard, but I know a lot of other people in my generation who had similar experiences, especially those who were also considered “gifted” as children. And we are all now suffering from depression, anxiety, and Impostor Syndrome.

All because nobody wanted to admit that talent, effort, and success are not the same thing.

How to fix economics publishing

Aug 7 JDN 2459806

The current system of academic publishing in economics is absolutely horrible. It seems practically designed to undermine the mental health of junior faculty.

1. Tenure decisions, and even most hiring decisions, are almost entirely based upon publication in five (5) specific journals.

2. One of those “top five” journals is owned by Elsevier, a corrupt monopoly that has no basis for its legitimacy yet somehow controls nearly one-fifth of all scientific publishing.

3. Acceptance rates in all of these journals are between 5% and 10%—greatly decreased from what they were a generation or two ago. Given a typical career span, the senior faculty evaluating you on whether you were published in these journals had about a three times better chance to get their own papers published there than you do.

4. Submissions are only single-blinded, so while you have no idea who is reading your papers, they know exactly who you are and can base their decision on whether you are well-known in the profession—or simply whether they like you.

5. Simultaneous submissions are forbidden, so when submitting to journals you must go one at a time, waiting to hear back from one before trying the next.

6. Peer reviewers are typically unpaid and generally uninterested, and so procrastinate as long as possible on doing their reviews.

7. As a result, review times for a paper are often measured in months, for every single cycle.

So, a highly successful paper goes like this: You submit it to a top journal, wait three months, it gets rejected. You submit it to another one, wait another four months, it gets rejected. You submit it to a third one, wait another two months, and you are told to revise and resubmit. You revise and resubmit, wait another three months, and then finally get accepted.

You have now spent an entire year getting one paper published. And this was a success.

Now consider a paper that doesn’t make it into a top journal. You submit, wait three months, rejected; you submit again, wait four months, rejected; you submit again, wait two months, rejected. You submit again, wait another five months, rejected; you submit to the fifth and final top-five, wait another four months, and get rejected again.

Now, after a year and a half, you can turn to other journals. You submit to a sixth journal, wait three months, rejected. You submit to a seventh journal, wait four months, get told to revise and resubmit. You revise and resubmit, wait another two months, and finally—finally, after two years—actually get accepted, but not to a top-five journal. So it may not even help you get tenure, unless maybe a lot of people cite it or something.

And what if you submit to a seventh, an eighth, a ninth journal, and still keep getting rejected? At what point do you simply give up on that paper and try to move on with your life?

That’s a trick question: Because what really happens, at least to me, is I can’t move on with my life. I get so disheartened from all the rejections of that paper that I can’t bear to look at it anymore, much less go through the work of submitting it to yet another journal that will no doubt reject it again. But worse than that, I become so depressed about my academic work in general that I become unable to move on to any other research either. And maybe it’s me, but it isn’t just me: 28% of academic faculty suffer from severe depression, and 38% from severe anxiety. And that’s across all faculty—if you look just at junior faculty it’s even worse: 43% of junior academic faculty suffer from severe depression. When a problem is that prevalent, at some point we have to look at the system that’s making us this way.

I can blame the challenges of moving across the Atlantic during a pandemic, and the fact that my chronic migraines have been the most frequent and severe they have been in years, but the fact remains: I have accomplished basically nothing towards the goal of producing publishable research in the past year. I have two years left at this job; if I started right now, I might be able to get something published before my contract is done. Assuming that the project went smoothly, I could start submitting it as soon as it was done, and it didn’t get rejected as many times as the last one.

I just can’t find the motivation to do it. When the pain is so immediate and so intense, and the rewards are so distant and so uncertain, I just can’t bring myself to do the work. I had hoped that talking about this with my colleagues would help me cope, but it hasn’t; in fact it only makes me seem to feel worse, because so few of them seem to understand how I feel. Maybe I’m talking to the wrong people; maybe the ones who understand are themselves suffering too much to reach out to help me. I don’t know.

But it doesn’t have to be this way. Here are some simple changes that could make the entire process of academic publishing in economics go better:

1. Boycott Elsevier and all for-profit scientific journal publishers. Stop reading their journals. Stop submitting to their journals. Stop basing tenure decisions on their journals. Act as though they don’t exist, because they shouldn’t—and then hopefully soon they won’t.

2. Peer reviewers should be paid for their time, and in return required to respond promptly—no more than a few weeks. A lack of response should be considered a positive vote on that paper.

3. Allow simultaneous submissions; if multiple journals accept, let the author choose between them. This is already how it works in fiction publishing, which you’ll note has not collapsed.

4. Increase acceptance rates. You are not actually limited by paper constraints anymore; everything is digital now. Most of the work—even in the publishing process—already has to be done just to go through peer review, so you may as well publish it. Moreover, most papers that are submitted are actually worthy of publishing, and this whole process is really just an idiotic status hierarchy. If the prestige of your journal decreases because you accept more papers, we are measuring prestige wrong. Papers should be accepted something like 50% of the time, not 5-10%.

5. Double blind submissions, and insist on ethical standards that maintain that blinding. No reviewer should know whether they are reading the work of a grad student or a Nobel Laureate. Reputation should mean nothing; scientific rigor should mean everything.

And, most radical of all, what I really need in my life right now:

6. Faculty should not have to submit their own papers. Each university department should have administrative staff whose job it is to receive papers from their faculty, format them appropriately, and submit them to journals. They should deal with all rejections, and only report to the faculty member when they have received an acceptance or a request to revise and resubmit. Faculty should simply do the research, write the papers, and then fire and forget them. We have highly specialized skills, and our valuable time is being wasted on the clerical tasks of formatting and submitting papers, which many other people could do as well or better. Worse, we are uniquely vulnerable to the emotional impact of the rejection—seeing someone else’s paper rejected is an entirely different feeling from having your own rejected.

Do all that, and I think I could be happy to work in academia. As it is, I am seriously considering leaving and never coming back.

The radical uncertainty of life

Jul 31 JDN 2459792

It’s a question you get a lot in job interviews, and sometimes from elsewhere as well: “Where do you see yourself in ten years?”

I never quite know how to answer such a question, because the future is so full of uncertainty.

Ten years from now:

I could be a tenured professor, or have left academia entirely. I could be teaching here at Edinburgh, or at an even more prestigious university, or at a tiny, obscure school. I could be working in private industry, or unemployed. I could be working as a full-time freelance writer.

I could have published nothing new, or have published a few things, or have won a Fields Medal. (It’s especially unlikely to have won a Nobel by then, but it’s a bit less unlikely that I might have done work that would one day lead to one.)

I could be still living in the United Kingdom, or back in the United States, or in some other country entirely.

I could be healthier than I am now, or permanently disabled. I could even be dead, from a variety of diseases, or a car accident, or a gunshot wound.

I could have adopted three children, or none. I could be divorced. My spouse could be dead.

It could even all be moot because the Russian war in Ukraine—or some other act of Russian aggression—has escalated into a nuclear Third World War.

These are the relatively likely scenarios.

I’m not saying I’m going to win a Fields Medal—but I am the sort of person who wins Fields Medals, surely far more likely than any randomly selected individual. I’m not saying we’re going to have WW3, but we’re definitely closer to it than we’ve been since the end of the Cold War.

There are plenty of other, unlikely scenarios that still remain possible:

I could be working in finance, or engineering, or medicine. I could be living on a farm. I could be President of the United States. I could have won a multi-million-dollar lottery and retired to a life of luxury and philanthropy. Those seem rather unlikely for me personally—but they are all true of someone, somewhere.

I could be living on a space station, or a Lunar base. I could be cybernetically enhanced. 2032 seems early for such things—but it didn’t to folks writing in the 1980s, so who knows? (Maybe it will even happen so gradually we won’t notice: Is a glucose-monitoring implant a cybernetic enhancement? It doesn’t seem so unlikely I might one day have one of those.)

None of us really knows what the future is going to hold. We could say what we want, or what we expect is the most likely, but more often than not, the world will surprise us.

What does this mean for our lives now? Should we give up trying to make plans, since the future is so unpredictable? Should we “eat, drink, and be merry, for tomorrow we die”?

I think the key is to realize that there is a kind of planning that’s still useful even if you can’t predict what will happen—and that is to plan to be flexible and resilient.

You can keep your eyes open for opportunities, rather than trying too hard to hold onto what you already have. Rather than trying in vain to keep everything the same, you can accept that your life is going to change and try to direct that change in better directions.

Rather than planning on staying in the same career for your whole life—which hardly anyone in our generation does—you should expect to change careers, and be working on building a wide range of transferable skills and a broad network of friends and colleagues. Maybe sooner or later you’ll find the right place to settle down, but it could be awhile.

You may not know where you’ll be living or working in ten years, but odds are pretty good that it’ll still be useful for you to have some money saved up, so you should probably save some money. If we end up in a post-scarcity utopia, you won’t need it, but you also won’t care. If we end up in a post-apocalyptic hellscape, it really won’t matter one way or the other. And those two extremes are about what would need to happen for you not to be able to make use of savings.

And where should you put that saved money? Stocks, bonds, cryptocurrency? Well, crypto would give you a chance at spectacular gains—but a much larger chance of spectacular losses. Bonds are very safe, but also don’t grow very much. So, as I’ve said before, you probably want to buy stocks. Yes, you could end up better off by choosing something else; but you have to play the odds, and stocks give you the best odds.

You will have setbacks at some point, either small or large. Everyone does. You can’t plan for what they will be, but you can plan to have resources available to deal with them.

Hey, maybe you should even buy life insurance, just in case you really do die tomorrow. You probably won’t—but somebody will, and doesn’t know it yet.

On the Overton Window

Jul 24 JDN 2459786

As you are no doubt aware, a lot of people on the Internet like to loudly proclaim support for really crazy, extreme ideas. Some of these people actually believe in those ideas, and if you challenge them, will do their best to defend them. Those people are wrong at the level of substantive policy, but there’s nothing wrong with their general approach: If you really think that anarchism or communism is a good thing, it only makes sense that you’d try to convince other people. You might have a hard time of it (in part because you are clearly wrong), but it makes sense that you’d try.

But there is another class of people who argue for crazy, extreme ideas. When pressed, they will admit they don’t really believe in abolishing the police or collectivizing all wealth, but they believe in something else that’s sort of vaguely in that direction, and they think that advocating for the extreme idea will make people more likely to accept what they actually want.

They often refer to this as “shifting the Overton Window”. As Matt Yglesias explained quite well a year ago, this is not actually what Overton was talking about.

But, in principle, it could still be a thing that works. There is a cognitive bias known as anchoring which is often used in marketing: If I only offered a $5 bottle of wine and a $20 bottle of wine, you might think the $20 bottle is too expensive. But if I also include a $50 bottle, that makes you adjust your perceptions of what constitutes a “reasonable” price for wine, and may make you more likely to buy the $20 bottle after all.

It could be, therefore, that an extreme policy demand makes people more willing to accept moderate views, as a sort of compromise. Maybe demanding the abolition of police is a way of making other kinds of police reform seem more reasonable. Maybe showing pictures of Marx and chanting “eat the rich” could make people more willing to accept higher capital gains taxes. Maybe declaring that we are on the verge of apocalyptic climate disaster will make people more willing to accept tighter regulations on carbon emissions and subsidies for solar energy.

Then again—does it actually seem to do that? I see very little evidence that it does. All those demands for police abolition haven’t changed the fact that defunding the police is unpopular. Raising taxes on the rich is popular, but it has been for awhile now (and never was with, well, the rich). And decades of constantly shouting about imminent climate catastrophe is really starting to look like crying wolf.

To see why this strategy seems to be failing, I think it’s helpful to consider how it feels from the other side. Take a look at some issues where someone else is trying to get you to accept a particular view, and consider whether someone advocating a more extreme view would make you more likely to compromise.

Your particular opinions may vary, but here are some examples that would apply to me, and, I suspect, many of you.

If someone says they want tighter border security, I’m skeptical—it’s pretty tight already. But in and of itself, this would not be such a crazy idea. Certainly I agree that it is possible to have too little border security, and so maybe that turns out to be the state we’re in.

But then, suppose that same person, or someone closely allied to them, starts demanding the immediate deportation of everyone who was not born in the United States, even those who immigrated legally and are naturalized or here on green cards. This is a crazy, extreme idea that’s further in the same direction, so on this anchoring theory, it should make me more willing to accept the idea of tighter border security. And yet, I can say with some confidence that it has no such effect.

Indeed, if anything I think it would make me less likely to accept tighter border security, in proportion to how closely aligned those two arguments are. If they are coming from the same person, or the same political party, it would cause me to suspect that the crazy, extreme policy is the true objective, and the milder, compromise policy is just a means toward that end. It also suggests certain beliefs and attitudes about immigration in general—xenophobia, racism, ultranationalism—that I oppose even more strongly. If you’re talking about deporting all immigrants, you make me suspect that your reasons for wanting tighter border security are not good ones.

Let’s try another example. Suppose someone wants to cut taxes on upper income brackets. In our current state, I think that would be a bad idea. But there was a time not so long ago when I would have agreed with it: Even I have to admit that a top bracket of 94% (as we had in 1943) sounds a little ridiculous, and is surely on the wrong side of the Laffer curve. So the basic idea of cutting top tax rates is not inherently crazy or ridiculous.

Now, suppose that same idea came from the same person, or the same party, or the same political movement, as one that was arguing for the total abolition of all taxation. This is a crazy, extreme idea; it would amount to either total anarcho-capitalism with no government at all, or some sort of bizarre system where the government is funded entirely through voluntary contributions. I think it’s pretty obvious that such a system would be terrible, if not outright impossible; and anyone whose understanding of political economy is sufficiently poor that they would fail to see this is someone whose overall judgment on questions of policy I must consider dubious. Once again, the presence of the extreme view does nothing to make me want to consider the moderate view, and may even make me less willing to do so.

Perhaps I am an unusually rational person, not so greatly affected by anchoring biases? Perhaps. But whereas I do feel briefly tempted by to buy the $20 wine bottle by the effect of the $50 wine bottle, and must correct myself with knowledge I have about anchoring bias, the presentation of an extreme political view never even makes me feel any temptation to accept some kind of compromise with it. Learning that someone supports something crazy or ridiculous—or is willing to say they do, even if deep down they don’t—makes me automatically lower my assessment of their overall credibility. If anything, I think I am tempted to overreact in that direction, and have to remind myself of the Stopped Clock Principle: reversed stupidity is not intelligence, and someone can have both bad ideas and good ones.

Moreover, the empirical data, while sketchy, doesn’t seem to support this either; where the Overton Window (in the originally intended sense) has shifted, as on LGBT rights, it was because people convincingly argued that the “extreme” position was in fact an entirely reasonable and correct view. There was a time not so long ago that same-sex marriage was deemed unthinkable, and the “moderate” view was merely decriminalizing sodomy; but we demanded, and got, same-sex marriage, not as a strategy to compromise on decriminalizing sodomy, but because we actually wanted same-sex marriage and had good arguments for it. I highly doubt we would have been any more successful if we had demanded something ridiculous and extreme, like banning opposite-sex marriage.

The resulting conclusion seems obvious and banal: Only argue for things you actually believe in.

Yet, somehow, that seems to be a controversial view these days.

How to pack the court

Jul 10 JDN 2459790

By now you have no doubt heard the news that Roe v. Wade was overturned. The New York Times has an annotated version of the full opinion.

My own views on abortion are like those of about 2/3 of Americans: More nuanced than can be neatly expressed by ‘pro-choice’ or ‘pro-life’, much more comfortable with first-trimester abortion (which is what 90% of abortions are, by the way) than later, and opposed to overturning Roe v. Wade in its entirety. I also find great appeal in Clinton’s motto on the issue: “safe, legal, and rare”.Several years ago I moderated an online discussion group that reached what we called the Twelve Week Compromise: Abortion would be legal for any reason up to 12 weeks of pregnancy, after which it would only be legal for extenuating circumstances including rape, incest, fetal nonviability, and severe health risk to the mother. This would render the vast majority of abortions legal without simply saying that it should be permitted without question. Roe v. Wade was actually slightly more permissive than this, but it was itself a very sound compromise.

But even if you didn’t like Roe v. Wade, you should be outraged at the manner in which it was overturned. If the Supreme Court can simply change its mind on rights that have been established for nearly 50 years, then none of our rights are safe. And in chilling comments, Clarence Thomas has declared that this is his precise intention: “In future cases, we should reconsider all of this Court’s substantive due process precedents, including Griswold, Lawrence, and Obergefell.” That is to say, Thomas wants to remove our rights to use contraception and have same-sex relationships. (If Lawrence were overturned, sodomy could be criminalized in several states!)

The good news here is that even the other conservative justices seem much less inclined to overturn these other precedents. Kavanaugh’s concurrent opinion explicitly states he has no intention of overturning “Griswold v. Connecticut, 381 U. S. 479 (1965); Eisenstadt v. Baird, 405 U. S. 438 (1972); Loving v. Virginia, 388 U. S. 1 (1967); and Obergefell v. Hodges, 576 U. S. 644 (2015)”. It seems quite notable that Thomas did not mention Loving v. Virginia, seeing as it was made around the same time as Roe v. Wade, based on very similar principles—and it affects him personally. And even if these precedents are unlikely to be overturned immediately, this ruling shows that the security of all of our rights can depend on the particular inclinations of individual justices.

The Supreme Court is honestly a terrible institution. Courts should not be more powerful than legislatures, lifetime appointments reek of monarchism, and the claim of being ‘apolitical’ that was dubious from the start is now obviously ludicrous. But precisely because it is so powerful, reforming it will be extremely difficult.

The first step is to pack the court. The question is no longer whether we should pack the court, but how, and why we didn’t do it sooner.

What does it mean to pack the court? Increase the number of justices, appointing new ones who are better than the current ones. (Since almost any randomly-selected American would be better than Clarence Thomas, Samuel Alito, or Brent Kavanaugh, this wouldn’t be hard.) This is 100% Constitutional, as the Constitution does not in any way restrict the number of justices. It can simply be done by an act of Congress.

But of course we can’t stop there. President Biden could appoint four more justices, and then whoever comes after him could appoint another three, and before we know it the Supreme Court has twenty-seven justices and each new President is expected to add a few more.

No, we need to fix the number of justices so that it can’t be increased any further. Ideally this would be done by Constitutional Amendment, though the odds of getting such a thing passed seem rather slim. But there is in fact a sensible way to add new justices now and then justify not adding any more later, and that is to tie justices to federal circuits.

There are currently 13 US federal circuit courts. If we added 4 more Supreme Court justices, there would be 13 Supreme Court justices. Each could even be assigned to be the nominal head of that federal circuit, and responsible for being the first to read appeals coming from that circuit.

Which justice goes where? Well, what if we let the circuits themselves choose? The selection could be made by a popular vote among the people who live there. Make the federal circuit a federal popular vote. The justice responsible for the federal circuit can also be the Chief Justice.

That would also require a Constitutional Amendment, but it would, at a stroke, fundamentally reform what the Supreme Court is and how its justices are chosen. For now, we could simply add three new justices, making the current number 13. Then they could decide amongst themselves who will get what circuit until we implement the full system to let circuits choose their justices.

I’m well aware that electing judges is problematic—but at this point I don’t think we have a choice. (I would also prefer to re-arrange the circuits: it’s weird that DC gets its own circuit instead of being part of circuit 4, and circuit 9 has way more people than circuit 1.) We can’t simply trust each new President to appoint a new justice whenever one happens to retire or die and then leave that justice in place for decades to come. Not in a world where someone like Donald Trump can be elected President.

A lot of centrist people are uncomfortable with such a move, seeing it as ‘playing dirty’. But it’s not. It’s playing hardball—taking seriously the threat that the current Republican Party poses to the future of American government and society, and taking substantive steps to fight that threat. (After its authoritarian shift that started in the mid 2000s but really took off under Trump, the Republican Party now has more in common with far-right extremist parties like Fidesz in Hungary than with mainstream center-right parties like the Tories.) But there is absolutely nothing un-Constitutional about this plan. It’s doing everything possible within the law.

We should have done this before they started overturning landmark precedents. But it’s not too late to do it before they overturn any more.

Why copyrights should be shorter

Jul 3 JDN 2459783

The copyright protection for Mickey Mouse is set to expire in 2024, though a recently-proposed bill that specifically targets large corporations would cause it to end immediately. Steamboat Willie was released in 1928.

This means that Mickey Mouse has been under copyright protection for 94 years, and is scheduled to last 96. Let me remind you that Walt Disney has been dead since 1966. This is, quite frankly, ridiculous. Mickey Mouse should have been released into the public domain decades ago.

Copyright in general has quite a shaky justification, and there are those who argue that it should be eliminated entirely. There’s something profoundly weird—and fundamentally monopolistic—about banning people from copying things.

But clearly we do need some way of ensuring that creators of artistic works can be fairly compensated for their efforts. Copyright is not the only way to do that: A few alternatives that I think are worth considering are expanded crowdfunding (Patreon and Kickstart already support quite a few artists, though most not very much), a large basic income (artists would still create even if they weren’t paid; they really just need money to live on), government grants directly to artists (we have the National Endowment for the Arts, but it doesn’t support very many artists), and some kind of central clearinghouse that surveys consumers about the art they enjoy and then compensates artists according to how much their work is appreciated. But all of these would require substantial changes, and suffer from their own flaws, so for the time being, let’s say we stick with copyright.

Even so, it’s utterly ludicrous that Disney has managed to hold onto the copyright on Mickey Mouse for this long. It makes absolutely no sense from the perspective of supporting artists—indeed, in this case the artist has been dead for over 50 years.

In fact, it wouldn’t even make sense if Walt Disney were still alive. (Not many people live 96 years past their first highly-successful creative work, but it’s at least possible, if you say published as a child and then lived to be a centenarian.) If the goal is to incentivize new creative art, the first few decades—indeed, the first few years—are clearly the most important for doing so.

To show why this is, I need to take a brief detour into finance, and the concept of a net present value.

As the saying goes: Time is money. $1 today is worth more than $1 a year from now. (And if you doubt this, let me remind you of the old joke: “I’ll give you $1 million dollars if you give me $100! Such a deal! Give me the $100 today, and I’ll give you $1 per year for the next million years.”)

The idea of a net present value is to precisely quantify the monetary value of time (or the time value of money), so that we can compare cashflows over time in a directly comparable way.

To compute a net present value, you need a discount rate. At a discount rate of r, an amount of money X that you get 1 year from now is worth X/(1+r). The discount rate should be positive, because money later is worth less than money now; this means that we want X/(1+r) < X, and therefore r > 0.

This is surprisingly hard to get precisely, but relatively easy to ballpark. A good guess is that it’s somewhere close to the prevailing interest rate, or maybe the average return on the stock market. It should definitely be at least the inflation rate. Right now inflation is running a little high (around 8%), so we’d want to use a relatively high discount rate currently, maybe 10% or 12%. But I think in a more typical scenario, something more like 5-6% would be a reasonable guess.

Once you have a discount rate, it’s pretty simple to figure out the net present value: Just add up all the future cashflows, each discounted by that discount rate for the time you have to wait for it.

So for instance if you get $100 per year for the next 5 years, this would be your net present value:

100/(1+r) + 100/(1+r)^2 + 100/(1+r)^3 + 100/(1+r)^4 + 100/(1+r)^5

If you get $50 this year, $60 next year, $70 the year after that, this would be your next present value:

50 + 60/(1+r) + 70/(1+r)^2

If the cashflow is the same X over time for some fixed amount of time T this can be collapsed into a single formula using a geometric series:

X (1 – (1+r)^(-T)) – 1)/r

This is really just a more compact way of adding up, X + X/(1+r) + X/(1+r)^2 + …; here, let’s do that example of $100 per year for 5 years, with r = 10%.

100/1.1 + 100/1.1^2 + 100/1.1^3 + 100/1.1^4 + 100/1.1^5 = $379

100 (1 – 1.1^(-5))/0.1 = $379

See, we get the same answer either way. Notice that this is less than $100 * 5 = $500, which is what we’d get if we had assumed that $1 a year from now is worth the same as $1 today. But it’s not too much less, because it’s only 5 years.

This formula allows us to consider what happens when the time interval becomes extremely long—even infinite. It gives us the power to ask the question, “What is the value of this perpetual cashflow?”

This feels a bit weird for individuals, since of course we die. We can have heirs, but rare indeed is the thousand-year dynasty. (The Imperial House of Japan does appear to have an unbroken hereditary line for the last 2000 years, but they’re basically alone in that.) But governments and corporations don’t have a lifespan, so it makes more sense for them. The US government was here 200 years ago, and may still be here 200 years from now. Oxford was here 900 years ago, and I see no particular reason to think it won’t still be here 900 years from now.

Since r > 0, (1+r)^(-T) gets smaller as T increases. As T approaches infinity, (1+r)^(-T) approaches zero. So for a perpetual cashflow, we can just make this term zero.

Thus, we can actually assess the value of $1 per year for the next million years! It is this:

1 (1-(1+r)^(10^6))/r

which is basically the same as this:

1/r

So if your discount rate is 10%, then $1 per year for 1 million years is worth about as much to you as $1/0.1 = $10 today. If your discount rate is 5%, it would be worth about $1/0.05 = $20 today. And suddenly it makes sense that you’re not willing to pay $100 for this deal.

What if the cashflow is changing? Then this formula won’t work. But if it’s simply a constant rate of growth, we can adjust for that. If the growth rate of the cashflow is g, so that you get X, then X (1+g), then x (1+g)^2, and so on, the formula becomes just a bit more complicated:

X (1-(1+r-g)^(-T))/(r-g)

So for instance if your cashflow grows at 6% per year and your discount rate is 10%, then it’s basically the same as if it didn’t grow at all but your discount rate is 4%. [This is actually an approximation, but it’s a pretty good one.] Let’s call this the effective discount rate.

For a perpetual cashflow, as long as r > g, this becomes:

X/(r-g)

With this in mind, let’s return to the question of copyright. How long should copyright protection last?

We want it to last long enough for artists to be fairly compensated for their work; but what does “fairly compensated” mean? Well, with the concept of a perpetual net present value in mind, we could quantify this as the majority of all revenue that would be expected to be earned by a perpetual copyright.

I think this is actually quite generous: We’re saying that you should get to keep the copyright long enough to get most of what you’d probably get if we allowed you to own it forever. In some cases this might actually result in a copyright that’s too long; but I don’t see how it could result in it being too short.

Mickey Mouse today earns about $3 million per year. That’s honestly amazing, to continue to rake in that much money after such a long period. But, adjusted for inflation, that’s actually quite a bit less than what he took in just a few years after his first films were released, nominally $1 million per year which comes to more like $19 million per year in today’s money.

This means that our discount rate is larger than our growth rate (r > g) even if r is just inflation; but in fact we should use a discount rate higher than inflation. Let’s use a plausible but slightly conservative discount rate of 5%.

To grow from nominally $1 million to nominally $3 million per year in 94 years means a growth rate of about 1% per year.

So, our effective discount rate is 4%.

Then, a perpetual copyright for Mickey Mouse should be worth approximately:

X/(r-g) = 10^6/(0.04) = $25 million

Yes, that’s right; an unending stream of over $1 million per year ends up being worth about the same as a single payment of $25 million way back in 1928.

But isn’t Mickey Mouse a “fictional billionare”, meaning his total income over his existence has been more than $1 billion? Sure. And indeed, at a discount rate of 5%, $1 billion today is worth about $10 million in 1928. So Mickey is indeed well above that. Even if I use Forbes’ higher estimate that Mickey Mouse has taken in $5.8 billion, that would still only be a net present value of $59 million in 1928.

Remember, time is money. When it takes this long to get a cashflow, it ends up worth substantially less.

So, if we were aiming to let Mickey earn half of his perpetual earnings in net present value, when should we have ended his copyright? By my estimate, when the net present value of earnings exceeded $12.5 million. If we use Forbes’s more generous estimate, when it exceeded $30 million.

So now let’s go back to the formula for a finite time horizon, and try to solve it for T, the time horizon. We want the net present value of the finite horizon to be half that of the infinite horizon:

X (1-(1+r-g)^(-T))/(r-g) = (X/2)/(r-g)

(1+r-g)^(-T) = 1/2

To solve this for T, I’ll need to use a logarithm, the inverse of an exponent.

T = ln(2)/ln(1+r – g)

This is a doubling time, very analogous to a half-life in physics. Since logarithms are very difficult to do by hand, if you don’t have a scientific calculator handy, you can also approximate it by dividing the percentage into 69:

T = 69/(r-g)%

This is because ln(2) = 0.69…, and when r-g is a small percentage, ln(1+r-g) is about the same as r-g.

For an effective discount rate of 4%, this becomes:

T = ln(2)/ln(1.04) = 69/4 = 17

That is, only seventeen years. Even for a hugely successful long-running property like Mickey Mouse (in fact, is there really anything on a par with Mickey Mouse?), the majority of the net present value was earned in less than 20 years.

Indeed, it seems especially sensible in this case, because back then, Walt Disney was still alive! He could actually enjoy the fruits of his labors for that period. Now it’s all going to some faceless shareholders of a massive megacorporation, only a few of which are even Walt Disney’s heirs. Only about 3% of Disney shares are owned by anyone actually in the Disney family.

This gives us an answer to the question, “How long should copyrights last?”: About 20 years.

If we’d used a higher discount rate, it would be even shorter: at 10%, you get only 10 years.

And a lower discount rate simply isn’t plausible; inflation and stock market growth are both too fast for net present value to be discounted much less than 4% or 5%. Maybe you could go as low as 3%, which would be 23 years.

Does this accomplish the goal of copyrights—which, remember, was to fairly compensate artists and incentivize the creation of artistic works? I’d say so. They get half of what they would have gotten if we never released their work into the public domain, and I don’t think I’ve ever met an artist who could honestly say that they’d create something if they could hold onto the rights for 96 years, but not if they could for only 20 years. (Maybe they exist, but if so, they are rare.) Most artists really just want to be credited—not paid, credited—for their work and to make a decent living. 20 years is enough for that.

This means that our current copyright system keeps works out of public domain nearly five times as long as there is any real economic justification for.