I finally have a published paper.

2022-06-122022-06-08 pnrj personal, science and academia academia, Acemoglu, Brad DeLong, depression, emotion, fiction, Krugman, Miles Kimball, narcissism, Nate Silver, Paul Romer, peer review, publication, publishing, rejection, tenure, writing

Jun 12 JDN 2459773

Here it is, my first peer-reviewed publication: “Imperfect Tactic Collusion and Asymmetric Price Transmission”, in the Journal of Economic Behavior and Organization.

Due to the convention in economics that authors are displayed alphabetically, I am listed third of four, and will be typically collapsed into “Bulutay et. al.”. I don’t actually think it should be “Julius et. al.”; I think Dave Hales did the most important work, and I wanted it to be “Hales et. al.”; but anything non-alphabetical is unusual in economics, and it would have taken a strong justification to convince the others to go along with it. This is a very stupid norm (and I attribute approximately 20% of Daron Acemoglu’s superstar status to it), but like any norm, it is difficult to dislodge.

I thought I would feel different when this day finally came. I thought I would feel joy, or at least satisfaction. I had been hoping that satisfaction would finally spur me forward in resubmitting my single-author paper, “Experimental Public Goods Games with Progressive Taxation”, so I could finally get a publication that actually does have “Julius (2022)” (or, at this rate, 2023, 2024…?). But that motivating satisfaction never came.

I did feel some vague sense of relief: Thank goodness, this ordeal is finally over and I can move on. But that doesn’t have the same motivating force; it doesn’t make me want to go back to the other papers I can now hardly bear to look at.

This reaction (or lack thereof?) could be attributed to circumstances: I have been through a lot lately. I was already overwhelmed by finishing my dissertation and going on the job market, and then there was the pandemic, and I had to postpone my wedding, and then when I finally got a job we had to suddenly move abroad, and then it was awful finding a place to live, and then we actually got married (which was lovely, but still stressful), and it took months to get my medications sorted with the NHS, and then I had a sudden resurgence of migraines which kept me from doing most of my work for weeks, and then I actually caught COVID and had to deal with that for a few weeks too. So it really isn’t too surprising that I’d be exhausted and depressed after all that.

Then again, it could be something deeper. I didn’t feel this way about my wedding. That genuinely gave me the joy and satisfaction that I had been expecting; I think it really was the best day of my life so far. So it isn’t as if I’m incapable of these feelings under my current state.

Rather, I fear that I am becoming more permanently disillusioned with academia. Now that I see how the sausage is made, I am no longer so sure I want to be one of the people making it. Publishing that paper didn’t feel like I had accomplished something, or even made some significant contribution to human knowledge. In fact, the actual work of publication was mostly done by my co-authors, because I was too overwhelmed by the job market at the time. But what I did have to do—and what I’ve tried to do with my own paper—felt like a miserable, exhausting ordeal.

More and more, I’m becoming convinced that a single experiment tells us very little, and we are being asked to present each one as if it were a major achievement when it’s more like a single brick in a wall.

But whatever new knowledge our experiments may have gleaned, that part was done years ago. We could have simply posted the draft as a working paper on the web and moved on, and the world would know just as much and our lives would have been a lot easier.

Oh, but then it would not have the imprimatur of peer review! And for our careers, that means absolutely everything. (Literally, when they’re deciding tenure, nothing else seems to matter.) But for human knowledge, does it really mean much? The more referee reports I’ve read, the more arbitrary they feel to me. This isn’t an objective assessment of scientific merit; it’s the half-baked opinion of a single randomly chosen researcher who may know next to nothing about the topic—or worse, have a vested interest in defending a contrary paradigm.

Yes, of course, what gets through peer review is of considerably higher quality than any randomly-selected content on the Internet. (The latter can be horrifically bad.) But is this not also true of what gets submitted for peer review? In fact, aren’t many blogs written by esteemed economists (say, Krugman? Romer? Nate Silver?) of considerably higher quality as well, despite having virtually none of the gatekeepers? I think Krugman’s blog is nominally edited by the New York Times, and Silver has a whole staff at FiveThirtyEight (they’re hiring, in fact!), but I’m fairly certain Romer just posts whatever he wants like I do. Of course, they had to establish their reputations (Krugman and Romer each won a Nobel). But still, it seems like maybe peer-review isn’t doing the most important work here.

Even blogs by far less famous economists (e.g. Miles Kimball, Brad DeLong) are also very good, and probably contribute more to advancing the knowledge of the average person than any given peer-reviewed paper, simply because they are more readable and more widely read. What we call “research” means going from zero people knowing a thing to maybe a dozen people knowing it; “publishing” means going from a dozen to at most a thousand; to go from a thousand to a billion, we call that “education”.

They all matter, of course; but I think we tend to overvalue research relative to education. A world where a few people know something is really not much better than a world where nobody does, while a world where almost everyone knows something can be radically superior. And the more I see just how far behind the cutting edge of research most economists are—let alone most average people—the more apparent it becomes to me that we are investing far too much in expanding that cutting edge (and far, far too much in gatekeeping who gets to do that!) and not nearly enough in disseminating that knowledge to humanity.

I think maybe that’s why finally publishing a paper felt so anticlimactic for me. I know that hardly anyone will ever actually read the damn thing. Just getting to this point took far more effort than it should have; dozens if not hundreds of hours of work, months of stress and frustration, all to satisfy whatever arbitrary criteria the particular reviewers happened to use so that we could all clear this stupid hurdle and finally get that line on our CVs. (And we wonder why academics are so depressed?) Far from being inspired to do the whole process again, I feel as if I have finally emerged from the torture chamber and may at last get some chance for my wounds to heal.

Even publishing fiction was not this miserable. Don’t get me wrong; it was miserable, especially for me, as I hate and fear rejection to the very core of my being in a way most people do not seem to understand. But there at least the subjectivity and arbitrariness of the process is almost universally acknowledged. Agents and editors don’t speak of your work being “flawed” or “wrong”; they don’t even say it’s “unimportant” or “uninteresting”. They say it’s “not a good fit” or “not what we’re looking for right now”. (Journal editors sometimes make noises like that too, but there’s always a subtext of “If this were better science, we’d have taken it.”) Unlike peer reviewers, they don’t come back with suggestions for “improvements” that are often pointless or utterly infeasible.

And unlike peer reviewers, fiction publishers acknowledge their own subjectivity and that of the market they serve. Nobody really thinks that Fifty Shades of Grey was good in any deep sense; but it was popular and successful, and that’s all the publisher really cares about. As a result, failing to be the next Fifty Shades of Grey ends up stinging a lot less than failing to be the next article in American Economic Review. Indeed, I’ve never had any illusions that my work would be popular among mainstream economists. But I once labored under the belief that it would be more important that it is true; and I guess I now consider that an illusion.

Moreover, fiction writers understand that rejection hurts; I’ve been shocked how few academics actually seem to. Nearly every writing conference I’ve ever been to has at least one seminar on dealing with rejection, often several; at academic conferences, I’ve literally never seen one. There seems to be a completely different mindset among academics—at least, the successful, tenured ones—about the process of peer review, what it means, even how it feels. When I try to talk with my mentors about the pain of getting rejected, they just… don’t get it. They offer me guidance on how to deal with anger at rejection, when that is not at all what I feel—what I feel is utter, hopeless, crushing despair.

There is a type of person who reacts to rejection with anger: Narcissists. (Look no further than the textbook example, Donald Trump.) I am coming to fear that I’m just not narcissistic enough to be a successful academic. I’m not even utterly lacking in narcissism: I am almost exactly average for a Millennial on the Narcissistic Personality Inventory. I score fairly high on Authority and Superiority (I consider myself a good leader and a highly competent individual) but very low on Exploitativeness and Self-Sufficiency (I don’t like hurting people and I know no man is an island). Then again, maybe I’m just narcissistic in the wrong way: I score quite low on “grandiose narcissism”, but relatively high on “vulnerable narcissism”. I hate to promote myself, but I find rejection devastating. This combination seems to be exactly what doesn’t work in academia. But it seems to be par for the course among writers and poets. Perhaps I have the mind of a scientist, but I have the soul of a poet. (Send me through the wormhole! Please? Please!?)

What if the charitable deduction were larger?

2019-11-032020-06-25 pnrj development economics, ethics, public policy Bill Gates, charity, donation, GiveDirectly, income tax, Malaria Consortium, Miles Kimball, Red Cross, tax brackets, tax deduction, tax reform, taxes, UNICEF

Nov 3 JDN 2458791

Right now, the charitable tax deduction is really not all that significant. It makes donating to charity cheaper, but you still always end up with less money after donating than you had before. It might cause you to donate more than you otherwise would have, but you’ll still only give to a charity you already care about.

This is because the tax deduction applies to your income, rather than your taxes directly. So if you make $100,000 and donate $10,000, you pay taxes as if your income were $90,000. Say your tax rate is 25%; then you go from paying $25,000 and keeping $75,000 to paying $22,500 and keeping $67,500. The more you donate, the less money you will have to keep.

Many people don’t seem to understand this; they seem to think that rich people can actually get richer by donating to charity. That can’t be done in our current tax system, or at least not legally. (There are fraudulent ways to do so; but there are fraudulent ways to do lots of things.) Part of the confusion may be related to the fact that people don’t seem to understand how tax brackets work; they worry about being “pushed into a higher tax bracket” as though this could somehow reduce their after-tax income, but that doesn’t happen. That isn’t how tax brackets work.

Some welfare programs work that way—for instance, seeing your income rise high enough to lose Medicaid eligibility can be bad enough that you would prefer to have less income—but taxes themselves do not.

The graph below shows the actual average tax rate (red) and marginal tax rate (purple) of the current US federal income tax:

From that graph alone, you might think that going to a higher tax bracket could result in lower after-tax income. But the next graph, of before-tax (blue) and after-tax (green) income shows otherwise:

All that tax deductions can do is reduce your taxable income. Thus the tax deduction benefits you if you were already donating, but never leaves you richer than you would have been without donating at all.

For example, if you have an income of $700,000, you would pay $223,000 in taxes and keep $477,000 in after-tax income. If you instead donate $100,000, your adjusted gross income will be reduced to $600,000, you will only pay $186,000 in taxes, and you will keep $414,000 in after-tax income. If there were no tax deduction, you would still have to pay $223,000 in taxes, and your after-tax income would be only $377,000. So you do benefit from the tax deduction; but there is no amount of donation which will actually increase your after-tax income to above $477,000.

But we wouldn’t have to do it this way. We could instead apply the deduction as a tax credit, which would make the effect of the deduction far larger.

Several years back, Miles Kimball (an economist who formerly worked at Michigan, now at UC Boulder) proposed a quite clever change to the tax system:

My proposal is to raise marginal tax rates above about $75,000 per person–or $150,000 per couple–by 10% (a dime on every extra dollar), but offer a 100% tax credit for public contributions up to the entire amount of the tax surcharge.

Kimball’s argument for the policy is mainly that this would make a tax increase more palatable, by giving people more control over where their money goes. This is surely true, and a worthwhile endeavor.

But the even larger benefit might come from the increased charitable donations. If we limited the tax credit to particularly high-impact charities, we would increase the donations to those charities. Whereas in the current system you get the same deduction regardless of where you give your money, even though we know that some charities are literally hundreds of times as cost-effective as others.

In fact, we might not even want to limit the tax credit to that 10% surcharge. If people want to donate more than 10% of their income to high-impact charities, perhaps we should let them. This would mean that the federal deficit could actually increase under this policy, but if so, there would have to be so much money donated that we’d most likely end world hunger. That’s a tradeoff I’m quite willing to make.

In principle, we could even introduce a tax credit that is greater than 100%—say for instance you get a 120% donation for the top-rated charities. This is not mathematically inconsistent, though it is surely a very bad idea. In that case, it absolutely would be possible to end up with more money than you started with, and the richer you are, the more you could get. There would effectively be a positive return on charitable donations, with the money paid for from the government budget. Bill Gates for instance could pay $10 billion a year to charity and the government would not only pay for it, but also have to give him an extra $2 billion. So even for the best charities—which probably are actually a good deal more cost-effective than the US government—we should cap the tax credit at 100%.

Obvious choices for high-impact charities include UNICEF, the Red Cross, GiveDirectly, and the Malaria Consortium. We would need some sort of criteria to decide which charities should get the benefits; I’m thinking we could have some sort of panel of experts who rate charities based on their cost-effectiveness.

It wouldn’t have to be all-or-nothing, either; charities with good but not top ratings could get an increased deduction but not a 100% deduction. The expert panel could rate charities on a scale from 0 to 10, and then anything above 5 gets an (X-5)*10% tax credit.

In effect, the current policy says, “If you give to charity, you don’t have to pay taxes on the money you gave; but all of your other taxes still apply.” The new policy would say, “You can give to a top-impact charity instead of paying taxes.”

Americans hate taxes and already give a lot to charity, but most of those donations are to relatively ineffective charities. This policy could incentivize people to give more or at least give to better places, probably without hurting the government budget—and if it does hurt the government budget, the benefits will be well worth the cost.

Sometimes people have to lose their jobs. This isn’t a bad thing.

2016-10-082017-10-08 pnrj ethics, inequality, macroeconomics, public policy active labor market policy, capital, Denmark, education, Eleizer Yudkowsky, employment, employment protection legislation, hires, income, jobs, labor, Less Wrong, Miles Kimball, Parade magazine, productivity, race, rent, robots, separations, technology, unemployment, wealth

Oct 8, JDN 2457670

Eleizer Yudkowsky (founder of the excellent blog forum Less Wrong) has a term he likes to use to distinguish his economic policy views from either liberal, conservative, or even libertarian: “econoliterate”, meaning the sort of economic policy ideas one comes up with when one actually knows a good deal about economics.

In general I think Yudkowsky overestimates this effect; I’ve known some very knowledgeable economists who disagree quite strongly over economic policy, and often following the conventional political lines of liberal versus conservative: Liberal economists want more progressive taxation and more Keynesian monetary and fiscal policy, while conservative economists want to reduce taxes on capital and remove regulations. Theoretically you can want all these things—as Miles Kimball does—but it’s rare. Conservative economists hate minimum wage, and lean on the theory that says it should be harmful to employment; liberal economists are ambivalent about minimum wage, and lean on the empirical data that shows it has almost no effect on employment. Which is more reliable? The empirical data, obviously—and until more economists start thinking that way, economics is never truly going to be a science as it should be.

But there are a few issues where Yudkowsky’s “econoliterate” concept really does seem to make sense, where there is one view held by most people, and another held by economists, regardless of who is liberal or conservative. One such example is free trade, which almost all economists believe in. A recent poll of prominent economists by the University of Chicago found literally zero who agreed with protectionist tariffs.

Another example is my topic for today: People losing their jobs.

Not unemployment, which both economists and almost everyone else agree is bad; but people losing their jobs. The general consensus among the public seems to be that people losing jobs is always bad, while economists generally consider it a sign of an economy that is run smoothly and efficiently.

To be clear, of course losing your job is bad for you; I don’t mean to imply that if you lose your job you shouldn’t be sad or frustrated or anxious about that, particularly not in our current system. Rather, I mean to say that policy which tries to keep people in their jobs is almost always a bad idea.

I think the problem is that most people don’t quite grasp that losing your job and not having a job are not the same thing. People not having jobs who want to have jobs—unemployment—is a bad thing. But losing your job doesn’t mean you have to stay unemployed; it could simply mean you get a new job. And indeed, that is what it should mean, if the economy is running properly.

Check out this graph, from FRED:

The red line shows hires—people getting jobs. The blue line shows separations—people losing jobs or leaving jobs. During a recession (the most recent two are shown on this graph), people don’t actually leave their jobs faster than usual; if anything, slightly less. Instead what happens is that hiring rates drop dramatically. When the economy is doing well (as it is right now, more or less), both hires and separations are at very high rates.

Why is this? Well, think about what a job is, really: It’s something that needs done, that no one wants to do for free, so someone pays someone else to do it. Once that thing gets done, what should happen? The job should end. It’s done. The purpose of the job was not to provide for your standard of living; it was to achieve the task at hand. Once it doesn’t need done, why keep doing it?

We tend to lose sight of this, for a couple of reasons. First, we don’t have a basic income, and our social welfare system is very minimal; so a job usually is the only way people have to provide for their standard of living, and they come to think of this as the purpose of the job. Second, many jobs don’t really “get done” in any clear sense; individual tasks are completed, but new ones always arise. After every email sent is another received; after every patient treated is another who falls ill.

But even that is really only true in the short run. In the long run, almost all jobs do actually get done, in the sense that no one has to do them anymore. The job of cleaning up after horses is done (with rare exceptions). The job of manufacturing vacuum tubes for computers is done. Indeed, the job of being a computer—that used to be a profession, young women toiling away with slide rules—is very much done. There are no court jesters anymore, no town criers, and very few artisans (and even then, they’re really more like hobbyists). There are more writers now than ever, and occasional stenographers, but there are no scribes—no one powerful but illiterate pays others just to write things down, because no one powerful is illiterate (and even few who are not powerful, and fewer all the time).

When a job “gets done” in this long-run sense, we usually say that it is obsolete, and again think of this as somehow a bad thing, like we are somehow losing the ability to do something. No, we are gaining the ability to do something better. Jobs don’t become obsolete because we can’t do them anymore; they become obsolete because we don’t need to do them anymore. Instead of computers being a profession that toils with slide rules, they are thinking machines that fit in our pockets; and there are plenty of jobs now for software engineers, web developers, network administrators, hardware designers, and so on as a result.

Soon, there will be no coal miners, and very few oil drillers—or at least I hope so, for the sake of our planet’s climate. There will be far fewer auto workers (robots have already done most of that already), but far more construction workers who install rail lines. There will be more nuclear engineers, more photovoltaic researchers, even more miners and roofers, because we need to mine uranium and install solar panels on rooftops.

Yet even by saying that I am falling into the trap: I am making it sound like the benefit of new technology is that it opens up more new jobs. Typically it does do that, but that isn’t what it’s for. The purpose of technology is to get things done.

Remember my parable of the dishwasher. The goal of our economy is not to make people work; it is to provide people with goods and services. If we could invent a machine today that would do the job of everyone in the world and thereby put us all out of work, most people think that would be terrible—but in fact it would be wonderful.

Or at least it could be, if we did it right. See, the problem right now is that while poor people think that the purpose of a job is to provide for their needs, rich people think that the purpose of poor people is to do jobs. If there are no jobs to be done, why bother with them? At that point, they’re just in the way! (Think I’m exaggerating? Why else would anyone put a work requirement on TANF and SNAP? To do that, you must literally think that poor people do not deserve to eat or have homes if they aren’t, right now, working for an employer. You can couch that in cold economic jargon as “maximizing work incentives”, but that’s what you’re doing—you’re threatening people with starvation if they can’t or won’t find jobs.)

What would happen if we tried to stop people from losing their jobs? Typically, inefficiency. When you aren’t allowed to lay people off when they are no longer doing useful work, we end up in a situation where a large segment of the population is being paid but isn’t doing useful work—and unlike the situation with a basic income, those people would lose their income, at least temporarily, if they quit and tried to do something more useful. There is still considerable uncertainty within the empirical literature on just how much “employment protection” (laws that make it hard to lay people off) actually creates inefficiency and reduces productivity and employment, so it could be that this effect is small—but even so, likewise it does not seem to have the desired effect of reducing unemployment either. It may be like minimum wage, where the effect just isn’t all that large. But it’s probably not saving people from being unemployed; it may simply be shifting the distribution of unemployment so that people with protected jobs are almost never unemployed and people without it are unemployed much more frequently. (This doesn’t have to be based in law, either; while it is made by custom rather than law, it’s quite clear that tenure for university professors makes tenured professors vastly more secure, but at the cost of making employment tenuous and underpaid for adjuncts.)

There are other policies we could make that are better than employment protection, active labor market policies like those in Denmark that would make it easier to find a good job. Yet even then, we’re assuming that everyone needs jobs–and increasingly, that just isn’t true.

So, when we invent a new technology that replaces workers, workers are laid off from their jobs—and that is as it should be. What happens next is what we do wrong, and it’s not even anybody in particular; this is something our whole society does wrong: All those displaced workers get nothing. The extra profit from the more efficient production goes entirely to the shareholders of the corporation—and those shareholders are almost entirely members of the top 0.01%. So the poor get poorer and the rich get richer.

The real problem here is not that people lose their jobs; it’s that capital ownership is distributed so unequally. And boy, is it ever! Here are some graphs I made of the distribution of net wealth in the US, using from the US Census.

Here are the quintiles of the population as a whole:

And here are the medians by race:

Medians by age:

Medians by education:

And, perhaps most instructively, here are the quintiles of people who own their homes versus renting (The rent is too damn high!)

All that is just within the US, and already they are ranging from the mean net wealth of the lowest quintile of people under 35 (-$45,000, yes negative—student loans) to the mean net wealth of the highest quintile of people with graduate degrees ($3.8 million). All but the top quintile of renters are poorer than all but the bottom quintile of homeowners. And the median Black or Hispanic person has less than one-tenth the wealth of the median White or Asian person.

If we look worldwide, wealth inequality is even starker. Based on UN University figures, 40% of world wealth is owned by the top 1%; 70% by the top 5%; and 80% by the top 10%. There is less total wealth in the bottom 80% than in the 80-90% decile alone. According to Oxfam, the richest 85 individuals own as much net wealth as the poorest 3.7 billion. They are the 0.000,001%.

If we had an equal distribution of capital ownership, people would be happy when their jobs became obsolete, because it would free them up to do other things (either new jobs, or simply leisure time), while not decreasing their income—because they would be the shareholders receiving those extra profits from higher efficiency. People would be excited to hear about new technologies that might displace their work, especially if those technologies would displace the tedious and difficult parts and leave the creative and fun parts. Losing your job could be the best thing that ever happened to you.

The business cycle would still be a problem; we have good reason not to let recessions happen. But stopping the churn of hiring and firing wouldn’t actually make our society better off; it would keep people in jobs where they don’t belong and prevent us from using our time and labor for its best use.

Perhaps the reason most people don’t even think of this solution is precisely because of the extreme inequality of capital distribution—and the fact that it has more or less always been this way since the dawn of civilization. It doesn’t seem to even occur to most people that capital income is a thing that exists, because they are so far removed from actually having any amount of capital sufficient to generate meaningful income. Perhaps when a robot takes their job, on some level they imagine that the robot is getting paid, when of course it’s the shareholders of the corporations that made the robot and the corporations that are using the robot in place of workers. Or perhaps they imagine that those shareholders actually did so much hard work they deserve to get paid that money for all the hours they spent.

Because pay is for work, isn’t it? The reason you get money is because you’ve earned it by your hard work?

No. This is a lie, told to you by the rich and powerful in order to control you. They know full well that income doesn’t just come from wages—most of their income doesn’t come from wages! Yet this is even built into our language; we say “net worth” and “earnings” rather than “net wealth” and “income”. (Parade magazine has a regular segment called “What People Earn”; it should be called “What People Receive”.) Money is not your just reward for your hard work—at least, not always.

The reason you get money is that this is a useful means of allocating resources in our society. (Remember, money was created by governments for the purpose of facilitating economic transactions. It is not something that occurs in nature.) Wages are one way to do that, but they are far from the only way; they are not even the only way currently in use. As technology advances, we should expect a larger proportion of our income to go to capital—but what we’ve been doing wrong is setting it up so that only a handful of people actually own any capital.

Fix that, and maybe people will finally be able to see that losing your job isn’t such a bad thing; it could even be satisfying, the fulfillment of finally getting something done.

No, Scandinavian countries aren’t parasites. They’re just… better.

2016-10-012016-09-24 pnrj core principles, public policy Denmark, diabetes, ethnic homogeneity, heart disease, immigration, income, inequality, Luxembourg, Miles Kimball, Norway, poverty, PRISM, redistribution, religion, Saudi Arabia, Scandinavia, Scandinaviaisbetter, Singapore, social democracy, socialism, Sweden, taxation, trust

Oct 1, JDN 2457663

If you’ve been reading my blogs for awhile, you likely have noticed me occasionally drop the hashtag #ScandinaviaIsBetter; I am in fact quite enamored of the Scandinavian (or Nordic more generally) model of economic and social policy.

But this is not a consensus view (except perhaps within Scandinavia itself), and I haven’t actually gotten around to presenting a detailed argument for just what it is that makes these countries so great.

I was inspired to do this by discussion with a classmate of mine (who shall remain nameless) who emphatically disagreed; he actually seems to think that American economic policy is somewhere near optimal (and to be fair, it might actually be near optimal, in the broad space of all possible economic policies—we are not Maoist China, we are not Somalia, we are not a nuclear wasteland). He couldn’t disagree with the statistics on how wealthy and secure and happy Scandinavian countries are, so instead he came up with this: “They are parasites.”

What he seemed to mean by this is that somehow Scandinavian countries achieve their success by sapping wealth from other countries, perhaps the rest of Europe, perhaps the world more generally. On this view, it’s not that Norway and Denmark aren’t rich because they economic policy basically figured out; no, they are somehow draining those riches from elsewhere.

This could scarcely be further from the truth.

But first, consider a couple of countries that are parasites, at least partially: Luxembourg and Singapore.

Singapore has an enormous trade surplus: 5.5 billion SGD per month, which is $4 billion per month, so almost $50 billion per year. They also have a positive balance of payments of $61 billion per year. Singapore’s total GDP is about $310 billion, so these are not small amounts. What does this mean? It means that Singapore is taking in a lot more money than they are spending out. They are effectively acting as mercantilists, or if you like as a profit-seeking corporation.

Moreover, Singapore is totally dependent on trade: their exports are over $330 billion per year, and their imports are over $280 billion. You may recognize each of these figures as comparable to the entire GDP of the country. Yes, their total trade is 200% of GDP. They aren’t really so much a country as a gigantic trading company.

What about Luxembourg? Well, they have a trade deficit of 420 million Euros per month, which is about $560 million per year. Their imports total about $2 billion per year, and their exports about $1.5 billion. Since Luxembourg’s total GDP is $56 billion, these aren’t unreasonably huge figures (total trade is about 6% of GDP); so Luxembourg isn’t a parasite in the sense that Singapore is.

No, what makes Luxembourg a parasite is the fact that 36% of their GDP is due to finance. Compare the US, where 12% of our GDP is finance—and we are clearly overfinancialized. Over a third of Luxembourg’s income doesn’t involve actually… doing anything. They hold onto other people’s money and place bets with it. Even insofar as finance can be useful, it should be only very slightly profitable, and definitely not more than 10% of GDP. As Stiglitz and Krugman agree (and both are Nobel Laureate economists), banking should be boring.

Do either of these arguments apply to Scandinavia? Let’s look at trade first. Denmark’s imports total about 42 billion DKK per month, which is about $70 billion per year. Their exports total about $90 billion per year. Denmark’s total GDP is $330 billion, so these numbers are quite reasonable. What are their main sectors? Manufacturing, farming, and fuel production. Notably, not finance.

Similar arguments hold for Sweden and Norway. They may be small countries, but they have diversified economies and strong production of real economic goods. Norway is probably overly dependent on oil exports, but they are specifically trying to move away from that right now. Even as it is, only about $90 billion of their $150 billion exports are related to oil, and exports in general are only about 35% of GDP, so oil is about 20% of Norway’s GDP. Compare that to Saudi Arabia, of which has 90% of its exports related to oil, accounting for 45% of GDP. If oil were to suddenly disappear, Norway would lose 20% of their GDP, dropping their per-capita GDP… all the way to the same as the US. (Terrifying!) But Saudi Arabia would suffer a total economic collapse, and their per capita-GDP would fall from where it is now at about the same as the US to about the same as Greece.

And at least oil actually does things. Oil exporting countries aren’t parasites so much as they are drug dealers. The world is “rolling drunk on petroleum”, and until we manage to get sober we’re going to continue to need that sweet black crude. Better we buy it from Norway than Saudi Arabia.

So, what is it that makes Scandinavia so great? Why do they have the highest happiness ratings, the lowest poverty rates, the best education systems, the lowest unemployment rates, the best social mobility and the highest incomes? To be fair, in most of these not literally every top spot is held by a Scandinavian country; Canada does well, Germany does well, the UK does well, even the US does well. Unemployment rates in particular deserve further explanation, because a lot of very poor countries report surprisingly low unemployment rates, such as Cambodia and Laos.

It’s also important to recognize that even great countries can have serious flaws, and the remnants of the feudal system in Scandinavia—especially in Sweden—still contribute to substantial inequality of wealth and power.

But in general, I think if you assembled a general index of overall prosperity of a country (or simply used one that already exists like the Human Development Index), you would find that Scandinavian countries are disproportionately represented at the very highest rankings. This calls out for some sort of explanation.

Is it simply that they are so small? They are certainly quite small; Norway and Denmark each have fewer people than the core of New York City, and Sweden has slightly more people than the Chicago metropolitan area. Put them all together, add in Finland and Iceland (which aren’t quite Scandinavia), and all together you have about the population of the New York City Combined Statistical Area.

But some of the world’s smallest countries are also its poorest. Samoa and Kiribati each have populations comparable to the city of Ann Arbor and per-capita GDPs 1/10 that of the US. Eritrea is the same size as Norway, and 70 times poorer. Burundi is slightly larger than Sweden, and has a per-capita GDP PPP of only $3.14 per day.

There’s actually a good statistical reason to expect that the smallest countries should vary the most in their incomes; you’re averaging over a smaller sample so you get more variance in the estimate. But this doesn’t explain why Norway is rich and Eritrea is poor. Incomes aren’t assigned randomly. This might be a reason to try comparing Norway to specifically New York City or Los Angeles rather than to the United States as a whole (Norway still does better, in case you were wondering—especially compared to LA); but it’s not a reason to say that Norway’s wealth doesn’t really count.

Is it because they are ethnically homogeneous? Yes, relatively speaking; but perhaps not as much as you imagine. 14% of Sweden’s population is immigrants, of which 64% are from outside the EU. 10% of Denmark’s population is comprised of immigrants, of which 66% came from non-Western countries. Immigrants are 13% of Norway’s population, of which half are from non-Western countries.

That’s certainly more ethnically homogeneous than the United States; 13% of our population is immigrants, which may sound comparable, but almost all non-immigrants in Scandinavia are of indigenous Nordic descent, all “White” by the usual classification. Meanwhile the United States is 64% non-Hispanic White, 16% Hispanic, 12% Black, 5% Asian, and 1% Native American or Pacific Islander.

Scandinavian countries are actually by some measures less homogeneous than the US in terms of religion, however; only 4% of Americans are not Christian (78.5%), atheist (16.1%), or Jewish (1.7%), and only 0.6% are Muslim. As much as In Sweden, on the other hand, 60% of the population is nominally Lutheran, but 80% is atheist, and 5% of the population is Muslim. So if you think of Christian/Muslim as the sharp divide (theologically this doesn’t make a whole lot of sense, but it seems to be the cultural norm in vogue), then Sweden has more religious conflict to worry about than the US does.

Moreover, there are some very ethnically homogeneous countries that are in horrible shape. North Korea is almost completely ethnically homogeneous, for example, as is Haiti. There does seem to be a correlation between higher ethnic diversity and lower economic prosperity, but Canada and the US are vastly more diverse than Japan and South Korea yet significantly richer. So clearly ethnicity is not the whole story here.

I do think ethnic homogeneity can partly explain why Scandinavian countries have the good policies they do; because humans are tribal, ethnic homogeneity engenders a sense of unity and cooperation, a notion that “we are all in this together”. That egalitarian attitude makes people more comfortable with some of the policies that make Scandinavia what it is, which I will get into at the end of this post.

What about culture? Is there something about Nordic ideas, those Viking traditions, that makes Scandinavia better? Miles Kimball has argued this; he says we need to import “hard work, healthy diets, social cohesion and high levels of trust—not Socialism”. And truth be told, it’s hard to refute this assertion, since it’s very difficult to isolate and control for cultural variables even though we know they are important.

But this difficulty in falsification is a reason to be cautious about such a hypothesis; it should be a last resort when all the more testable theories have been ruled out. I’m not saying culture doesn’t matter; it clearly does. But unless you can test it, “culture” becomes a theory that can explain just about anything—which means that it really explains nothing.

The “social cohesion and high levels of trust” part actually can be tested to some extent—and it is fairly well supported. High levels of trust are strongly correlated with economic prosperity. But we don’t really need to “import” that; the US is already near the top of the list in countries with the highest levels of trust.

I can’t really disagree with “good diet”, except to say that almost everywhere eats a better diet than the United States. The homeland of McDonald’s and Coca-Cola is frankly quite dystopian when it comes to rates of heart disease and diabetes. Given our horrible diet and ludicrously inefficient healthcare system, the only reason we live as long as we do is that we are an extremely rich country (so we can afford to pay the most for healthcare, for certain definitions of “afford”), and almost no one here smokes anymore. But good diet isn’t so much Scandinavian as it is… un-American.

But as for “hard work”, he’s got it backwards; the average number of work hours per week is 33 in Denmark and Norway, compared to 38 in the US. Among full-time workers in the US, the average number of hours per week is a whopping 47. Working hours in the US are much more intensive than anywhere in Europe, including Scandinavia. Though of course we are nowhere near the insane work addiction suffered by most East Asian countries; lately South Korea and Japan have been instituting massive reforms to try to get people to stop working themselves to death. And not surprisingly, work-related stress is a leading cause of death in the United States. If anything, we need to import some laziness, or at least a sense of work-life balance. (Indeed, I’m fairly sure that the only reason he said “hard work” is that it’s a cultural Applause Light in the US; being against hard work is like being against the American Flag or homemade apple pie. At this point, “we need more hard work” isn’t so much an assertion as it is a declaration of tribal membership.)

But none of these things adequately explains why poverty and inequality is so much lower in Scandinavia than it is in the United States, and there’s really a quite simple explanation.

Why is it that #ScandinaviaIsBetter? They’re not afraid to make rich people pay higher taxes so they can help poor people.

In the US, this idea of “redistribution of wealth” is anathema, even taboo; simply accusing a policy of being “redistributive” or “socialist” is for many Americans a knock-down argument against that policy. In Denmark, “socialist” is a meaningful descriptor; some policies are “socialist”, others “capitalist”, and these aren’t particularly weighted terms; it’s like saying here that a policy is “Keynesian” or “Monetarist”, or if that’s too obscure, saying that it’s “liberal” or “conservative”. People will definitely take sides, and it is a matter of political importance—but it’s inside the Overton Window. It’s not almost unthinkable as it is here.

If culture has an effect here, it likely comes from Scandinavia’s long traditions of egalitarianism. Going at least back to the Vikings, in theory at least (clearly not always in practice), people—or at least fellow Scandinavians—were considered equal participants in society, no one “better” or “higher” than anyone else. Even today, it is impolite in Denmark to express pride at your own accomplishments; there’s a sense that you are trying to present yourself as somehow more deserving than others. Honestly this attitude seems unhealthy to me, though perhaps preferable to the unrelenting narcissism of American society; but insofar as culture is making Scandinavia better, it’s almost certainly because this thoroughgoing sense of egalitarianism underlies all their economic policy. In the US, the rich are brilliant and the poor are lazy; in Denmark, the rich are fortunate and the poor are unlucky. (Which theory is more accurate? Donald Trump. I rest my case.)

To be clear, Scandinavia is not communist; and they are certainly not Stalinist. They don’t believe in total collectivization of industry, or complete government control over the economy. They don’t believe in complete, total equality, or even a hard cap on wealth: Stefan Persson is an 11-figure billionaire. Does he pay high taxes, living in Sweden? Yes he does, considerably higher than he’d pay in the US. He seems to be okay with that. Why, it’s almost like his marginal utility of wealth is now negligible.

Scandinavian countries also don’t try to micromanage your life in the way often associated with “socialism”–in fact I’d say they do it less than we do in the US. Here we have Republicans who want to require drug tests for food stamps even though that literally wastes money and helps no one; there they just provide a long list of government benefits for everyone free of charge. They just held a conference in Copenhagen to discuss the possibility of transitioning many of these benefits into a basic income; and basic income is the least intrusive means of redistributing wealth.

In fact, because Scandinavian countries tax differently, it’s not necessarily the case that people always pay higher taxes there. But they pay more transparent taxes, and taxes with sharper incidence. Denmark’s corporate tax rate is only 22% compared to 35% in the US; but their top personal income tax bracket is 59% while ours is only 39.6% (though it can rise over 50% with some state taxes). Denmark also has a land value tax and a VAT, both of which most economists have clamored for for generations. (The land value tax I totally agree with; the VAT I’m a little more ambivalent about.) Moreover, filing your taxes in Denmark is not a month-long stress marathon of gathering paperwork, filling out forms, and fearing that you’ll get something wrong and be audited as it is in the US; they literally just send you a bill. You can contest it, but most people don’t. You just pay it and you’re done.

Now, that does mean the government is keeping track of your income; and I might think that Americans would never tolerate such extreme surveillance… and then I remember that PRISM is a thing. Apparently we’re totally fine with the NSA reading our emails, but God forbid the IRS just fill out our 1040s for us (that they are going to read anyway). And there’s no surveillance involved in requiring retail stores to incorporate sales tax into listed price like they do in Europe instead of making us do math at the cash register like they do here. It’s almost like Americans are trying to make taxes as painful as possible.

Indeed, I think Scandanavian socialism is a good example of how high taxes are a sign of a free society, not an authoritarian one. Taxes are a minimal incursion on liberty. High taxes are how you fund a strong government and maintain extensive infrastructure and public services while still being fair and following the rule of law. The lowest tax rates in the world are in North Korea, which has ostensibly no taxes at all; the government just confiscates whatever they decide they want. Taxes in Venezuela are quite low, because the government just owns all the oil refineries (and also uses multiple currency exchange rates to arbitrage seigniorage). US taxes are low by First World standards, but not by world standards, because we combine a free society with a staunch opposition to excessive taxation. Most of the rest of the free world is fine with paying a lot more taxes than we do. In fact, even using Heritage Foundation data, there is a clear positive correlation between higher tax rates and higher economic freedom:

What’s really strange, though, is that most Americans actually support higher taxes on the rich. They often have strange or even incoherent ideas about what constitutes “rich”; I have extended family members who have said they think $100,000 is an unreasonable amount of money for someone to make, yet somehow are totally okay with Donald Trump making $300,000,000. The chant “we are the 99%” has always been off by a couple orders of magnitude; the plutocrat rentier class is the top 0.01%, not the top 1%. The top 1% consists mainly of doctors and lawyers and engineers; the top 0.01%, to a man—and they are nearly all men, in fact White men—either own corporations or work in finance. But even adjusting for all this, it seems like at least a bare majority of Americans are all right with “redistributive” “socialist” policies—as long as you don’t call them that.

So I suppose that’s sort of what I’m trying to do; don’t think of it as “socialism”. Think of it as #ScandinaviaIsBetter.

Two terms in marginal utility of wealth

2016-06-292016-07-01 pnrj cognitive science, ethics, heuristics and biases charity, consumption, donation, happiness, income, marginal utility, Miles Kimball, other-directed, philanthropic, religion, self-directed, status, utility, Veblen, wealth

JDN 2457569

This post is going to be a little wonkier than most; I’m actually trying to sort out my thoughts and draw some public comment on a theory that has been dancing around my head for awhile. The original idea of separating terms in marginal utility of wealth was actually suggested by my boyfriend, and from there I’ve been trying to give it some more mathematical precision to see if I can come up with a way to test it experimentally. My thinking is also influenced by a paper Miles Kimball wrote about the distinction between happiness and utility.

There are lots of ways one could conceivably spend money—everything from watching football games to buying refrigerators to building museums to inventing vaccines. But insofar as we are rational (and we are after all about 90% rational), we’re going to try to spend our money in such a way that its marginal utility is approximately equal across various activities. You’ll buy one refrigerator, maybe two, but not seven, because the marginal utility of refrigerators drops off pretty fast; instead you’ll spend that money elsewhere. You probably won’t buy a house that’s twice as large if it means you can’t afford groceries anymore. I don’t think our spending is truly optimal at maximizing utility, but I think it’s fairly good.

Therefore, it doesn’t make much sense to break down marginal utility of wealth into all these different categories—cars, refrigerators, football games, shoes, and so on—because we already do a fairly good job of equalizing marginal utility across all those different categories. I could see breaking it down into a few specific categories, such as food, housing, transportation, medicine, and entertainment (and this definitely seems useful for making your own household budget); but even then, I don’t get the impression that most people routinely spend too much on one of these categories and not enough on the others.

However, I can think of two quite different fundamental motives behind spending money, which I think are distinct enough to be worth separating.

One way to spend money is on yourself, raising your own standard of living, making yourself more comfortable. This would include both football games and refrigerators, really anything that makes your life better. We could call this the consumption motive, or maybe simply the self-directed motive.

The other way is to spend it on other people, which, depending on your personality can take either the form of philanthropy to help others, or as a means of self-aggrandizement to raise your own relative status. It’s also possible to do both at the same time in various combinations; while the Gates Foundation is almost entirely philanthropic and Trump Tower is almost entirely self-aggrandizing, Carnegie Hall falls somewhere in between, being at once a significant contribution to our society and an obvious attempt to bring praise and adulation to himself. I would also include spending on Veblen goods that are mainly to show off your own wealth and status in this category. We can call this spending the philanthropic/status motive, or simply the other-directed motive.

There is some spending which combines both motives: A car is surely useful, but a Ferrari is mainly for show—but then, a Lexus or a BMW could be either to show off or really because you like the car better. Some form of housing is a basic human need, and bigger, fancier houses are often better, but the main reason one builds mansions in Beverly Hills is to demonstrate to the world that one is fabulously rich. This complicates the theory somewhat, but basically I think the best approach is to try to separate a sort of “spending proportion” on such goods, so that say $20,000 of the Lexus is for usefulness and $15,000 is for show. Empirically this might be hard to do, but theoretically it makes sense.

One of the central mysteries in cognitive economics right now is the fact that while self-reported happiness rises very little, if at all, as income increases, a finding which was recently replicated even in poor countries where we might not expect it to be true, nonetheless self-reported satisfaction continues to rise indefinitely. A number of theories have been proposed to explain this apparent paradox.

This model might just be able to account for that, if by “happiness” we’re really talking about the self-directed motive, and by “satisfaction” we’re talking about the other-directed motive. Self-reported happiness seems to obey a rule that $100 is worth as much to someone with $10,000 as $25 is to someone with $5,000, or $400 to someone with $20,000.

Self-reported satisfaction seems to obey a different rule, such that each unit of additional satisfaction requires a roughly equal proportional increase in income.

By having a utility function with two terms, we can account for both of these effects. Total utility will be u(x), happiness h(x), and satisfaction s(x).

u(x) = h(x) + s(x)

To obey the above rule, happiness must obey harmonic utility, like this, for some constants h0 and r:

h(x) = h0 – r/x

Proof of this is straightforward, though to keep it simple I’ve hand-waved why it’s a power law:

Given

h'(2x) = 1/4 h'(x)

Let

h'(x) = r x^n

h'(2x) = r (2x)^n

r (2x)^n = 1/4 r x^n

n = -2

h'(x) = r/x^2

h(x) = – r x^(-1) + C

h(x) = h0 – r/x

Miles Kimball also has some more discussion on his blog about how a utility function of this form works. (His statement about redistribution at the end is kind of baffling though; sure, dollar for dollar, redistributing wealth from the middle class to the poor would produce a higher gain in utility than redistributing wealth from the rich to the middle class. But neither is as good as redistributing from the rich to the poor, and the rich have a lot more dollars to redistribute.)

Satisfaction, however, must obey logarithmic utility, like this, for some constants s0 and k.

The x+1 means that it takes slightly less proportionally to have the same effect as your wealth increases, but it allows the function to be equal to s0 at x=0 instead of going to negative infinity:

s(x) = s0 + k ln(x)

Proof of this is very simple, almost trivial:

Given

s'(x) = k/x

s(x) = k ln(x) + s0

Both of these functions actually have a serious problem that as x approaches zero, they go to negative infinity. For self-directed utility this almost makes sense (if your real consumption goes to zero, you die), but it makes no sense at all for other-directed utility, and since there are causes most of us would willingly die for, the disutility of dying should be large, but not infinite.

Therefore I think it’s probably better to use x +1 in place of x:

h(x) = h0 – r/(x+1)

s(x) = s0 + k ln(x+1)

This makes s0 the baseline satisfaction of having no other-directed spending, though the baseline happiness of zero self-directed spending is actually h0 – r rather than just h0. If we want it to be h0, we could use this form instead:

h(x) = h0 + r x/(x+1)

This looks quite different, but actually only differs by a constant.

Therefore, my final answer for the utility of wealth (or possibly income, or spending? I’m not sure which interpretation is best just yet) is actually this:

u(x) = h(x) + s(x)

h(x) = h0 + r x/(x+1)

s(x) = s0 + k ln(x+1)

Marginal utility is then the derivatives of these:

h'(x) = r/(x+1)^2

s'(x) = k/(x+1)

Let’s assign some values to the constants so that we can actually graph these.

Let h0 = s0 = 0, so our baseline is just zero.

Furthermore, let r = k = 1, which would mean that the value of $1 is the same whether spent either on yourself or on others, if $1 is all you have. (This is probably wrong, actually, but it’s the simplest to start with. Shortly I’ll discuss what happens as you vary the ratio k/r.)

Here is the result graphed on a linear scale:

And now, graphed with wealth on a logarithmic scale:

As you can see, self-directed marginal utility drops off much faster than other-directed marginal utility, so the amount you spend on others relative to yourself rapidly increases as your wealth increases. If that doesn’t sound right, remember that I’m including Veblen goods as “other-directed”; when you buy a Ferrari, it’s not really for yourself. While proportional rates of charitable donation do not increase as wealth increases (it’s actually a U-shaped pattern, largely driven by poor people giving to religious institutions), they probably should (people should really stop giving to religious institutions! Even the good ones aren’t cost-effective, and some are very, very bad.). Furthermore, if you include spending on relative power and status as the other-directed motive, that kind of spending clearly does proportionally increase as wealth increases—gotta keep up with those Joneses.

If r/k = 1, that basically means you value others exactly as much as yourself, which I think is implausible (maybe some extreme altruists do that, and Peter Singer seems to think this would be morally optimal). r/k < 1 would mean you should never spend anything on yourself, which not even Peter Singer believes. I think r/k = 10 is a more reasonable estimate.

For any given value of r/k, there is an optimal ratio of self-directed versus other-directed spending, which can vary based on your total wealth.

Actually deriving what the optimal proportion would be requires a whole lot of algebra in a post that probably already has too much algebra, but the point is, there is one, and it will depend strongly on the ratio r/k, that is, the overall relative importance of self-directed versus other-directed motivation.

Take a look at this graph, which uses r/k = 10.

If you only have 2 to spend, you should spend it entirely on yourself, because up to that point the marginal utility of self-directed spending is always higher. If you have 3 to spend, you should spend most of it on yourself, but a little bit on other people, because after you’ve spent about 2.2 on yourself there is more marginal utility for spending on others than on yourself.

If your available wealth is W, you would spend some amount x on yourself, and then W-x on others:

u(x) = h(x) + s(W-x)

u(x) = r x/(x+1) + k ln(W – x + 1)

Then you take the derivative and set it equal to zero to find the local maximum. I’ll spare you the algebra, but this is the result of that optimization:

x = – 1 – r/(2k) + sqrt(r/k) sqrt(2 + W + r/(4k))

As long as k <= r (which more or less means that you care at least as much about yourself as about others—I think this is true of basically everyone) then as long as W > 0 (as long as you have some money to spend) we also have x > 0 (you will spend at least something on yourself).

Below a certain threshold (depending on r/k), the optimal value of x is greater than W, which means that, if possible, you should be receiving donations from other people and spending them on yourself. (Otherwise, just spend everything on yourself). After that, x < W, which means that you should be donating to others. The proportion that you should be donating smoothly increases as W increases, as you can see on this graph (which uses r/k = 10, a figure I find fairly plausible):

While I’m sure no one literally does this calculation, most people do seem to have an intuitive sense that you should donate an increasing proportion of your income to others as your income increases, and similarly that you should pay a higher proportion in taxes. This utility function would justify that—which is something that most proposed utility functions cannot do. In most models there is a hard cutoff where you should donate nothing up to the point where your marginal utility is equal to the marginal utility of donating, and then from that point forward you should donate absolutely everything. Maybe a case can be made for that ethically, but psychologically I think it’s a non-starter.

I’m still not sure exactly how to test this empirically. It’s already quite difficult to get people to answer questions about marginal utility in a way that is meaningful and coherent (people just don’t think about questions like “Which is worth more? $4 to me now or $10 if I had twice as much wealth?” on a regular basis). I’m thinking maybe they could play some sort of game where they have the opportunity to make money at the game, but must perform tasks or bear risks to do so, and can then keep the money or donate it to charity. The biggest problem I see with that is that the amounts would probably be too small to really cover a significant part of anyone’s total wealth, and therefore couldn’t cover much of their marginal utility of wealth function either. (This is actually a big problem with a lot of experiments that use risk aversion to try to tease out marginal utility of wealth.) But maybe with a variety of experimental participants, all of whom we get income figures on?

How I wish we measured percentage change

2016-01-272016-01-20 pnrj statistics, Uncategorized exponential, logarithm, math, Miles Kimball, percentage, statistics

JDN 2457415

For today’s post I’m taking a break from issues of global policy to discuss a bit of a mathematical pet peeve. It is an opinion I share with many economists—for instance Miles Kimball has a very nice post about it, complete with some clever analogies to music.

I hate when we talk about percentages in asymmetric terms.

What do I mean by this? Well, here are a few examples.

If my stock portfolio loses 10% one year and then gains 11% the following year, have I gained or lost money? I’ve lost money. Only a little bit—I’m down 0.1%—but still, a loss.

In 2003, Venezuela suffered a depression of -26.7% growth one year, and then an economic boom of 36.1% growth the following year. What was their new GDP, relative to what it was before the depression? Very slightly less than before. (99.8% of its pre-recession value, to be precise.) You would think that falling 27% and rising 36% would leave you about 9% ahead; in fact it leaves you behind.

Would you rather live in a country with 11% inflation and have constant nominal pay, or live in a country with no inflation and take a 10% pay cut? You should prefer the inflation; in that case your real income only falls by 9.9%, instead of 10%.

We often say that the real interest rate is simply the nominal interest rate minus the rate of inflation, but that’s actually only an approximation. If you have 7% inflation and a nominal interest rate of 11%, your real interest rate is not actually 4%; it is 3.74%. If you have 2% inflation and a nominal interest rate of 0%, your real interest rate is not actually -2%; it is -1.96%.

This is what I mean by asymmetric:

Rising 10% and falling 10% do not cancel each other out. To cancel out a fall of 10%, you must actually rise 11.1%.

Gaining 20% and losing 20% do not cancel each other out. To cancel out a loss of 20%, you need a gain of 25%.

Is it starting to bother you yet? It sure bothers me.

Worst of all is the fact that the way we usually measure percentages, losses are bounded at 100% while gains are unbounded. To cancel a loss of 100%, you’d need a gain of infinity.

There are two basic ways of solving this problem: The simple way, and the good way.

The simple way is to just start measuring percentages symmetrically, by including both the starting and ending values in the calculation and averaging them.
That is, instead of using this formula:

% change = 100% * (new – old)/(old)

You use this one:

% change = 100% * (new – old)/((new + old)/2)

In this new system, percentage changes are symmetric.

Suppose a country’s GDP rises from $5 trillion to $6 trillion.

In the old system we’d say it has risen 20%:

100% * ($6 T – $5 T)/($5 T) = 20%

In the symmetric system, we’d say it has risen 18.2%:

100% * ($6 T – $5 T)/($5.5 T) = 18.2%

Suppose it falls back to $5 trillion the next year.

In the old system we’d say it has only fallen 16.7%:

100% * ($5 T – $6 T)/($6 T) = -16.7%

But in the symmetric system, we’d say it has fallen 18.2%.

100% * ($5 T – $6 T)/($5.5 T) = -18.2%

In the old system, the gain of 20% was somehow canceled by a loss of 16.7%. In the symmetric system, the gain of 18.2% was canceled by a loss of 18.2%, just as you’d expect.

This also removes the problem of losses being bounded but gains being unbounded. Now both losses and gains are bounded, at the rather surprising value of 200%.

Formally, that’s because of these limits:
lim_{x rightarrow infty} {(x-1) over {(x+1)/2}} = 2

lim_{x rightarrow infty} {(0-x) over {(x+0)/2}} = -2

It might be easier to intuit these limits with an example. Suppose something explodes from a value of 1 to a value of 10,000,000. In the old system, this means it rose 1,000,000,000%. In the symmetric system, it rose 199.9999%. Like the speed of light, you can approach 200%, but never quite get there.

100% * (10^7 – 1)/(5*10^6 + 0.5) = 199.9999%

Gaining 200% in the symmetric system is gaining an infinite amount. That’s… weird, to say the least. Also, losing everything is now losing… 200%?

This is simple to explain and compute, but it’s ultimately not the best way.

The best way is to use logarithms.

As you may vaguely recall from math classes past, logarithms are the inverse of exponents.

Since 2^4 = 16, log_2 (16) = 4.

The natural logarithm ln() is the most fundamental for deep mathematical reasons I don’t have room to explain right now. It uses the base e, a transcendental number that starts 2.718281828459045…

To the uninitiated, this probably seems like an odd choice—no rational number has a natural logarithm that is itself a rational number (well, other than 1, since ln(1) = 0).

But perhaps it will seem a bit more comfortable once I show you that natural logarithms are remarkably close to percentages, particularly for the small changes in which percentages make sense.

We define something called log points such that the change in log points is 100 times the natural logarithm of the ratio of the two:

log points = 100 * ln(new / old)

This is symmetric because of the following property of logarithms:

ln(a/b) = – ln(b/a)

Let’s return to the country that saw its GDP rise from $5 trillion to $6 trillion.

The logarithmic change is 18.2 log points:

100 * ln($6 T / $5 T) = 100 * ln(1.2) = 18.2

If it falls back to $5 T, the change is -18.2 log points:

100 * ln($5 T / $6 T) = 100 * ln(0.833) = -18.2

Notice how in the symmetric percentage system, it rose and fell 18.2%; and in the logarithmic system, it rose and fell 18.2 log points. They are almost interchangeable, for small percentages.

In this graph, the old value is assumed to be 1. The horizontal axis is the new value, and the vertical axis is the percentage change we would report by each method.

The green line is the usual way we measure percentages.

The red curve is the symmetric percentage method.

The blue curve is the logarithmic method.

For percentages within +/- 10%, all three methods are about the same. Then both new methods give about the same answer all the way up to changes of +/- 40%. Since most real changes in economics are within that range, the symmetric method and the logarithmic method are basically interchangeable.

However, for very large changes, even these two methods diverge, and in my opinion the logarithm is to be preferred.

The symmetric percentage never gets above 200% or below -200%, while the logarithm is unbounded in both directions.

If you lose everything, the old system would say you have lost 100%. The symmetric system would say you have lost 200%. The logarithmic system would say you have lost infinity log points. If infinity seems a bit too extreme, think of it this way: You have in fact lost everything. No finite proportional gain can ever bring it back. A loss that requires a gain of infinity percent seems like it should be called a loss of infinity percent, doesn’t it? Under the logarithmic system it is.

If you gain an infinite amount, the old system would say you have gained infinity percent. The logarithmic system would also say that you have gained infinity log points. But the symmetric percentage system would say that you have gained 200%. 200%? Counter-intuitive, to say the least.

Log points also have another very nice property that neither the usual system nor the symmetric percentage system have: You can add them.

If you gain 25 log points, lose 15 log points, then gain 10 log points, you have gained 20 log points.

25 – 15 + 10 = 20

Just as you’d expect!

But if you gain 25%, then lose 15%, and then gain 10%, you have gained… 16.9%.

(1 + 0.25)*(1 – 0.15)*(1 + 0.10) = 1.169

If you gain 25% symmetric, lose 15% symmetric, then gain 10% symmetric, that calculation is really a pain. To find the value y that is p symmetric percentage points from the starting value x, you end up needing to solve this equation:

p = 100 * (y – x)/((x+y)/2)

This can be done; it comes out like this:

y = (200 + p)/(200 – p) * x

(This also gives a bit of insight into why it is that the bounds are +/- 200%.)

So by chaining those, we can in fact find out what happens after gaining 25%, losing 15%, then gaining 10% in the symmetric system:

(200 + 25)/(200 – 25)*(200 – 15)/(200 + 15)*(200 + 10)/(200 – 10) = 1.223

Then we can put that back into the symmetric system:

100% * (1.223 – 1)/((1+1.223)/2) = 20.1%

So after all that work, we find out that you have gained 20.1% symmetric. We could almost just add them—because they are so similar to log points—but we can’t quite.

Log points actually turn out to be really convenient, once you get the hang of them. The problem is that there’s a conceptual leap for most people to grasp what a logarithm is in the first place.

In particular, the hardest part to grasp is probably that a doubling is not 100 log points.

It is in fact 69 log points, because ln(2) = 0.69.

(Doubling in the symmetric percentage system is gaining 67%—much closer to the log points than to the usual percentage system.)

Calculation of the new value is a bit more difficult than in the usual system, but not as difficult as in the symmetric percentage system.

If you have a change of p log points from a starting point of x, the ending point y is:

y = e^{p/100} * x

The fact that you can add log points ultimately comes from the way exponents add:

e^{p1/100} * e^{p2/100} = e^{(p1+p2)/100}

Suppose US GDP grew 2% in 2007, then 0% in 2008, then fell 8% in 2009 and rose 4% in 2010 (this is approximately true). Where was it in 2010 relative to 2006? Who knows, right? It turns out to be a net loss of 2.4%; so if it was $15 T before it’s now $14.63 T. If you had just added, you’d think it was only down 2%; you’d have underestimated the loss by $70 billion.

But if it had grown 2 log points, then 0 log points, then fell 8 log points, then rose 4 log points, the answer is easy: It’s down 2 log points. If it was $15 T before, it’s now $14.70 T. Adding gives the correct answer this time.

Thus, instead of saying that the stock market fell 4.3%, we should say it fell 4.4 log points. Instead of saying that GDP is up 1.9%, we should say it is up 1.8 log points. For small changes it won’t even matter; if inflation is 1.4%, it is in fact also 1.4 log points. Log points are a bit harder to conceptualize; but they are symmetric and additive, which other methods are not.

Is this a matter of life and death on a global scale? No.

But I can’t write about those every day, now can I?

Why the Republican candidates like flat income tax—and we really, really don’t

2015-05-17 pnrj critique of neoclassical economics, public policy basic income, Bernie Sanders, capital, Democrat, elections, flat tax, halo effect, Hillary Clinton, investment, IRS, just world, land tax, Miles Kimball, Mitt Romney, monetary policy, money, poverty, profit, progressive, Republican, saving, tax code, tax reform, taxation, taxes, wealth

JDN 2456160 EDT 13:55.

The Republican Party is scrambling to find viable Presidential candidates for next year’s election. The Democrats only have two major contenders: Hillary Clinton looks like the front-runner (and will obviously have the most funding), but Bernie Sanders is doing surprisingly well, and is particularly refreshing because he is running purely on his principles and ideas. He has no significant connections, no family dynasty (unlike Jeb Bush and, again, Hillary Clinton) and not a huge amount of wealth (Bernie’s net wealth is about $500,000, making him comfortably upper-middle class; compare to Hillary’s $21.5 million and her husband’s $80 million); but he has ideas that resonate with people. Bernie Sanders is what politics is supposed to be. Clinton’s campaign will certainly raise more than his; but he has already raised over $4 million, and if he makes it to about $10 million studies suggest that additional spending above that point is largely negligible. He actually has a decent chance of winning, and if he did it would be a very good sign for the future of America.

But the Republican field is a good deal more contentious, and the 19 candidates currently running have been scrambling to prove that they are the most right-wing in order to impress far-right primary voters. (When the general election comes around, whoever wins will of course pivot back toward the center, changing from, say, outright fascism to something more like reactionism or neo-feudalism. If you were hoping they’d pivot so far back as to actually be sensible center-right capitalists, think again; Hillary Clinton is the only one who will take that role, and they’ll go out of their way to disagree with her in every way they possibly can, much as they’ve done with Obama.) One of the ways that Republicans are hoping to prove their right-wing credentials is by proposing a flat income tax and eliminating the IRS.

Unlike most of their proposals, I can see why many people think this actually sounds like a good idea. It would certainly dramatically reduce bureaucracy, and that’s obviously worthwhile since excess bureaucracy is pure deadweight loss. (A surprising number of economists seem to forget that government does other things besides create excess bureaucracy, but I must admit it does in fact create excess bureaucracy.)

Though if they actually made the flat tax rate 20% or even—I can’t believe this is seriously being proposed—10%, there is no way the federal government would have enough revenue. The only options would be (1) massive increases in national debt (2) total collapse of government services—including their beloved military, mind you, or (3) directly linking the Federal Reserve quantitative easing program to fiscal policy and funding the deficit with printed money. Of these, 3 might not actually be that bad (it would probably trigger some inflation, but actually we could use that right now), but it’s extremely unlikely to happen, particularly under Republicans. In reality, after getting a taste of 2, we’d clearly end up with 1. And then they’d be complaining about the debt and clamor for more spending cuts, more spending cuts, ever more spending cuts, but there would simply be no way to run a functioning government on 10% of GDP in anything like our current system. Maybe you could do it on 20%—maybe—but we currently spend more like 35%, and that’s already a very low amount of spending for a First World country. The UK is more typical at 47%, while Germany is a bit low at 44%; Sweden spends 52% and France spends a whopping 57%. Anyone who suggests we cut government spending from 35% to 20% needs to explain which 3/7 of government services are going to immediately disappear—not to mention which 3/7 of government employees are going to be immediately laid off.

And then they want to add investment deductions; in general investment deductions are a good thing, as long as you tie them to actual investments in genuinely useful things like factories and computer servers. (Or better yet, schools, research labs, or maglev lines, but private companies almost never invest in that sort of thing, so the deduction wouldn’t apply.) The kernel of truth in the otherwise ridiculous argument that we should never tax capital is that taxing real investment would definitely be harmful in the long run. As I discussed with Miles Kimball (a cognitive economist at Michigan and fellow econ-blogger I hope to work with at some point), we could minimize the distortionary effects of corporate taxes by establishing a strong deduction for real investment, and this would allow us to redistribute some of this enormous wealth inequality without dramatically harming economic growth.

But if you deduct things that aren’t actually investments—like stock speculation and derivatives arbitrage—then you reduce your revenue dramatically and don’t actually incentivize genuinely useful investments. This is the problem with our current system, in which GE can pay no corporate income tax on $108 billion in annual profit—and you know they weren’t using all that for genuinely productive investment activities. But then, if you create a strong enforcement system for ensuring it is real investment, you need bureaucracy—which is exactly what the flat tax was claimed to remove. At the very least, the idea of eliminating the IRS remains ridiculous if you have any significant deductions.

Thus, the benefits of a flat income tax are minimal if not outright illusory; and the costs, oh, the costs are horrible. In order to have remotely reasonable amounts of revenue, you’d need to dramatically raise taxes on the majority of people, while significantly lowering them on the rich. You would create a direct transfer of wealth from the poor to the rich, increasing our already enormous income inequality and driving millions of people into poverty.

Thus, it would be difficult to more clearly demonstrate that you care only about the interests of the top 1% than to propose a flat income tax. I guess Mitt Romney’s 47% rant actually takes the cake on that one though (Yes, all those freeloading… soldiers… and children… and old people?).

Many Republicans are insisting that a flat tax would create a surge of economic growth, but that’s simply not how macroeconomics works. If you steeply raise taxes on the majority of people while cutting them on the rich, you’ll see consumer spending plummet and the entire economy will be driven into recession. Rich people simply don’t spend their money in the same way as the rest of us, and the functioning of the economy depends upon a continuous flow of spending. There is a standard neoclassical economic argument about how reducing spending and increasing saving would lead to increased investment and greater prosperity—but that model basically assumes that we have a fixed amount of stuff we’re either using up or making more stuff with, which is simply not how money works; as James Kroeger cogently explains on his blog “Nontrivial Pursuits”, money is created as it is needed; investment isn’t determined by people saving what they don’t spend. Indeed, increased consumption generally leads to increased investment, because our economy is currently limited by demand, not supply. We could build a lot more stuff, if only people could afford to buy it.

And that’s not even considering the labor incentives; as I already talked about in my previous post on progressive taxation, there are two incentives involved when you increase someone’s hourly wage. On the one hand, they get paid more for each hour, which is a reason to work; that’s the substitution effect. But on the other hand, they have more money in general, which is a reason they don’t need to work; that’s the income effect. Broadly speaking, the substitution effect dominates at low incomes (about $20,000 or less), the income effect dominates at high incomes (about $100,000 or more), and the two effects cancel out at moderate incomes. Since a tax on your income hits you in much the same way as a reduction in your wage, this means that raising taxes on the poor makes them work less, while raising taxes on the rich makes them work more. But if you go from our currently slightly-progressive system to a flat system, you raise taxes on the poor and cut them on the rich, which would mean that the poor would work less, and the rich would also work less! This would reduce economic output even further. If you want to maximize the incentive to work, you want progressive taxes, not flat taxes.

Flat taxes sound appealing because they are so simple; even the basic formula for our current tax rates is complicated, and we combine it with hundreds of pages of deductions and credits—not to mention tens of thousands of pages of case law!—making it a huge morass of bureaucracy that barely anyone really understands and corporate lawyers can easily exploit. I’m all in favor of getting rid of that; but you don’t need a flat tax to do that. You can fit the formula for a progressive tax on a single page—indeed, on a single line: r = 1 – I^-p

That’s it. It’s simple enough to be plugged into any calculator that is capable of exponents, not to mention efficiently implemented in Microsoft Excel (more efficiently than our current system in fact).

Combined with that simple formula, you could list all of the sensible deductions on a couple of additional pages (business investments and educational expenses, mostly—poverty should be addressed by a basic income, not by tax deductions on things like heating and housing, which are actually indirect corporate subsidies), along with a land tax (one line: $3000 per hectare), a basic income (one more line: $8,000 per adult and $4,000 per child), and some additional excise taxes on goods with negative externalities (like alcohol, tobacco, oil, coal, and lead), with a line for each; then you can provide a supplementary manual of maybe 50 pages explaining the detailed rules for applying each of those deductions in unusual cases. The entire tax code should be readable by an ordinary person in a single sitting no longer than a few hours. That means no more than 100 pages and no more than a 7th-grade reading level.

Why do I say this? Isn’t that a ridiculous standard? No, it is a Constitutional imperative. It is a fundamental violation of your liberty to tax you according to rules you cannot reasonably understand—indeed, bordering on Kafkaesque. While this isn’t taxation without representation—we do vote for representatives, after all—it is something very much like it; what good is the ability to change rules if you don’t even understand the rules in the first place? Nor would it be all that difficult: You first deduct these things from your income, then plug the result into this formula.

So yes, I absolutely agree with the basic principle of tax reform. The tax code should be scrapped and recreated from scratch, and the final product should be a primary form of only a few pages combined with a supplementary manual of no more than 100 pages. But you don’t need a flat tax to do that, and indeed for many other reasons a flat tax is a terrible idea, particularly if the suggested rate is 10% or 15%, less than half what we actually spend. The real question is why so many Republican candidates think that this will appeal to their voter base—and why they could actually be right about that.

Part of it is the entirely justified outrage at the complexity of our current tax system, and the appealing simplicity of a flat tax. Part of it is the long history of American hatred of taxes; we were founded upon resisting taxes, and we’ve been resisting taxes ever since. In some ways this is healthy; taxes per se are not a good thing, they are a bad thing, a necessary evil.

But those two things alone cannot explain why anyone would advocate raising taxes on the poorest half of the population while dramatically cutting them on the top 1%. If you are opposed to taxes in general, you’d cut them on everyone; and if you recognize the necessity of taxation, you’d be trying to find ways to minimize the harm while ensuring sufficient tax revenue, which in general means progressive taxation.

To understand why they would be pushing so hard for flat taxes, I think we need to say that many Republicans, particularly those in positions of power, honestly do think that rich people are better than poor people and we should always give more to the rich and less to the poor. (Maybe it’s partly halo effect, in which good begets good and bad begets bad? Or maybe just world theory, the ingrained belief that the world is as it ought to be?)

Romney’s 47% rant wasn’t an exception; it was what he honestly believes, what he says when he doesn’t know he’s on camera. He thinks that he earned every penny of his $250 million net wealth; yes, even the part he got from marrying his wife and the part he got from abusing tax laws, arbitraging assets and liquidating companies. He thinks that people who live on $4,000 or even $400 a year are simply lazy freeloaders, who could easily work harder, perhaps do some arbitrage and liquidation of their own (check out these alleged “rags to riches” stories including the line “tried his hand at mortgage brokering”), but choose not to, and as a result deserve what they get. (It’s important to realize just how bizarre this moral attitude truly is; even if I thought you were the laziest person on Earth, I wouldn’t let you starve to death.) He thinks that the social welfare programs which have reduced poverty but never managed to eliminate it are too generous—if he even thinks they should exist at all. And in thinking these things, he is not some bizarre aberration; he is representing an entire class of people, nearly all of whom vote Republican.

The good news is, these people are still in the minority. They hold significant sway over the Republican primary, but will not have nearly as much impact in the general election. And right now, the Republican candidates are so numerous and so awful that I have trouble seeing how the Democrats could possibly lose. (But please, don’t take that as a challenge, you guys.)

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Human Economics

Cognitive development economics: Understanding the mind in order to feed the world

Miles Kimball