Fighting the zero-sum paradigm

Dec 2 JDN 2458455

It should be obvious at this point that there are deep, perhaps even fundamental, divides between the attitudes and beliefs of different political factions. It can be very difficult to even understand, much less sympathize, with the concerns of people who are racist, misogynistic, homophobic, xenophobic, and authoritarian.
But at the end of the day we still have to live in the same country as these people, so we’d better try to understand how they think. And maybe, just maybe, that understanding will help us to change them.

There is one fundamental belief system that I believe underlies almost all forms of extremism. Right now right-wing extremism is the major threat to global democracy, but left-wing extremism subscribes to the same core paradigm (consistent with Horseshoe Theory).

I think the best term for this is the zero-sum paradigm. The idea is quite simple: There is a certain amount of valuable “stuff” (money, goods, land, status, happiness) in the world, and the only political question is who gets how much.

Thus, any improvement in anyone’s life must, necessarily, come at someone else’s expense. If I become richer, you become poorer. If I become stronger, you become weaker. Any improvement in my standard of living is a threat to your status.

If this belief were true, it would justify, or at least rationalize, all sorts of destructive behavior: Any harm I can inflict upon someone else will yield a benefit for me, by some fundamental conservation law of the universe.

Viewed in this light, beliefs like patriarchy and White supremacy suddenly become much more comprehensible: Why would you want to spend so much effort hurting women and Black people? Because, by the fundamental law of zero-sum, any harm to women is a benefit to men, and any harm to Black people is a benefit to White people. The world is made of “teams”, and you are fighting for your own against all the others.

And I can even see why such an attitude is seductive: It’s simple and easy to understand. And there are many circumstances where it can be approximately true.
When you are bargaining with your boss over a wage, one dollar more for you is one dollar less for your boss.
When your factory outsources production to China, one more job for China is one less job for you.

When we vote for President, one more vote for the Democrats is one less vote for the Republicans.

But of course the world is not actually zero-sum. Both you and your boss would be worse off if your job were to disappear; they need your work and you need their money. For every job that is outsourced to China, another job is created in the United States. And democracy itself is such a profound public good that it basically overwhelms all others.

In fact, it is precisely when a system is running well that the zero-sum paradigm becomes closest to true. In the space of all possible allocations, it is the efficient ones that behave in something like a zero-sum way, because when the system is efficient, we are already producing as much as we can.

This may be part of why populist extremism always seems to assert itself during periods of global prosperity, as in the 1920s and today: It is precisely when the world is running at its full capacity that it feels most like someone else’s gain must come at your loss.

Yet if we live according to the zero-sum paradigm, we will rapidly destroy the prosperity that made that paradigm seem plausible. A trade war between the US and China would put millions out of work in both countries. A real war with conventional weapons would kill millions. A nuclear war would kill billions.

This is what we must convey: We must show people just how good things are right now.

This is not an easy task; when people want to believe the world is falling apart, they can very easily find excuses to do so. You can point to the statistics showing a global decline in homicide, but one dramatic shooting on the TV news will wipe that all away. You can show the worldwide rise in real incomes across the board, but that won’t console someone who just lost their job and blames outsourcing or immigrants.

Indeed, many people will be offended by the attempt—the mere suggestion that the world is actually in very good shape and overall getting better will be perceived as an attempt to deny or dismiss the problems and injustices that still exist.

I encounter this especially from the left: Simply pointing out the objective fact that the wealth gap between White and Black households is slowly closing is often taken as a claim that racism no longer exists or doesn’t matter. Congratulating the meteoric rise in women’s empowerment around the world is often paradoxically viewed as dismissing feminism instead of lauding it.

I think the best case against progress can be made with regard to global climate change: Carbon emissions are not falling nearly fast enough, and the world is getting closer to the brink of truly catastrophic ecological damage. Yet even here the zero-sum paradigm is clearly holding us back; workers in fossil-fuel industries think that the only way to reduce carbon emissions is to make their families suffer, but that’s simply not true. We can make them better off too.

Talking about injustice feels righteous. Talking about progress doesn’t. Yet I think what the world needs most right now—the one thing that might actually pull us back from the brink of fascism or even war—is people talking about progress.

If people think that the world is full of failure and suffering and injustice, they will want to tear down the whole system and start over with something else. In a world that is largely democratic, that very likely means switching to authoritarianism. If people think that this is as bad as it gets, they will be willing to accept or even instigate violence in order to change to almost anything else.

But if people realize that in fact the world is full of success and prosperity and progress, that things are right now quite literally better in almost every way for almost every person in almost every country than they were a hundred—or even fifty—years ago, they will not be so eager to tear the system down and start anew. Centrism is often mocked (partly because it is confused with false equivalence), but in a world where life is improving this quickly for this many people, “stay the course” sounds awfully attractive to me.
That doesn’t mean we should ignore the real problems and injustices that still exist, of course. There is still a great deal of progress left to be made.  But I believe we are more likely to make progress if we acknowledge and seek to continue the progress we have already made, than if we allow ourselves to fall into despair as if that progress did not exist.

How (not) to destroy an immoral market

Jul 29 JDN 2458329

In this world there are people of primitive cultures, with a population that is slowly declining, trying to survive a constant threat of violence in the aftermath of colonialism. But you already knew that, of course.

What you may not have realized is that some of these people are actively hunted by other people, slaughtered so that their remains can be sold on the black market.

I am referring of course to elephants. Maybe those weren’t the people you first had in mind?

Elephants are not human in the sense of being Homo sapiens; but as far as I am concerned, they are people in a moral sense.

Elephants take as long to mature as humans, and spend most of their childhood learning. They are born with brains only 35% of the size of their adult brains, much as we are born with brains 28% the size of our adult brains. Their encephalization quotients range from about 1.5 to 2.4, comparable to chimpanzees.

Elephants have problem-solving intelligence comparable to chimpanzees, cetaceans, and corvids. Elephants can pass the “mirror test” of self-identification and self-awareness. Individual elephants exhibit clearly distinguishable personalities. They exhibit empathy toward humans and other elephants. They can think creatively and develop new tools.

Elephants distinguish individual humans or elephants by sight or by voice, comfort each other when distressed, and above all mourn their dead. The kind of mourning behaviors elephants exhibit toward the remains of their dead family members have only been observed in humans and chimpanzees.

On a darker note, elephants also seek revenge. In response to losing loved ones to poaching or collisions with trains, elephants have orchestrated organized counter-attacks against human towns. This is not a single animal defending itself, as almost any will do; this is a coordinated act of vengeance after the fact. Once again, we have only observed similar behaviors in humans, great apes, and cetaceans.

Huffington Post backed off and said “just kidding” after asserting that elephants are people—but I won’t. Elephants are people. They do not have an advanced civilization, to be sure. But as far as I am concerned they display all the necessary minimal conditions to be granted the fundamental rights of personhood. Killing an elephant is murder.

And yet, the ivory trade continues to be profitable. Most of this is black-market activity, though it was legal in some places until very recently; China only restored their ivory trade ban this year, and Hong Kong’s ban will not take full effect until 2021. Some places are backsliding: A proposal (currently on hold) by the US Fish and Wildlife Service under the Trump administration would also legalize some limited forms of ivory trade.
With this in mind, I can understand why people would support the practice of ivory-burning, symbolically and publicly destroying ivory by fire so that no one can buy it. Two years ago, Kenya organized a particularly large ivory-burning that set ablaze 105 tons of elephant tusk and 1.35 tons of rhino horn.

But as economist, when I first learned about ivory-burning, it seemed like a really, really bad idea.

Why? Supply and demand. By destroying supply, you have just raised the market price of ivory. You have therefore increased the market incentives for poaching elephants and rhinos.

Yet it turns out I was wrong about this, as were many other economists. I looked at the empirical research, and changed my mind substantially. Ivory-burning is not such a bad idea after all.

Here was my reasoning before: If I want to reduce the incentives to produce something, what do I need to do? Lower the price. How do I do that? I need to increase the supply. Economists have made several proposals for how to do that, and until I looked at the data I would have expected them to work; but they haven’t.

The best way to increase supply is to create synthetic ivory that is cheap and very difficult to tell apart from the real thing. This has been done, but it didn’t work. For some reason, sellers try to hide the expensive real ivory in with the cheap synthetic ivory. I admit I actually have trouble understanding this; if you can’t sell it at full price, why even bother with the illegal real ivory? Maybe their customers have methods of distinguishing the two that the regulators don’t? If so, why aren’t the regulators using those methods? Another concern with increasing the supply of ivory is that it might reduce the stigma of consuming ivory, thereby also increasing the demand.

A similar problem has arisen with so-called “ghost ivory”; for obvious reasons, existing ivory products were excluded from the ban imposed in 1947, lest the government be forced to confiscate millions of billiard balls and thousands of pianos. Yet poachers have learned ways to hide new, illegal ivory and sell it as old, legal ivory.

Another proposal was to organize “sustainable ivory harvesting”, which based on past experience with similar regulations is unlikely to be enforceable. Moreover, this is not like sustainable wood harvesting, where our only concern is environmental. I for one care about the welfare of individual elephants, and I don’t think they would want to be “harvested”, sustainably or otherwise.
There is one way of doing “sustainable harvesting” that might not be so bad for the elephants, which would be to set up a protected colony of elephants, help them to increase their population, and then when elephants die of natural causes, take only the tusks and sell those as ivory, stamped with an official seal as “humanely and sustainably produced”. Even then, elephants are among a handful of species that would be offended by us taking their ancestors’ remains. But if it worked, it could save many elephant lives. The bigger problem is how expensive such a project would be, and how long it would take to show any benefit; elephant lifespans are about half as long as ours, (except in zoos, where their mortality rate is much higher!) so a policy that might conceivably solve a problem in 30 to 40 years doesn’t really sound so great. More detailed theoretical and empirical analysis has made this clear: you just can’t get ivory fast enough to meet existing demand this way.

In any case, China’s ban on all ivory trade had an immediate effect at dropping the price of ivory, which synthetic ivory did not. Before that, strengthened regulations in the US (particularly in New York and California) had been effective at reducing ivory sales. The CITES treaty in 1989 that banned most international ivory trade was followed by an immediate increase in elephant populations.

The most effective response to ivory trade is an absolutely categorical ban with no loopholes. To fight “ghost ivory”, we should remove exceptions for old ivory, offering buybacks for any antiques with a verifiable pedigree and a brief period of no-penalty surrender for anything with no such records. The only legal ivory must be for medical and scientific purposes, and its sourcing records must be absolutely impeccable—just as we do with human remains.

Even synthetic ivory must also be banned, at least if it’s convincing enough that real ivory could be hidden in it. You can make something you call “synthetic ivory” that serves a similar consumer function, but it must be different enough that it can be easily verified at customs inspections.

We must give no quarter to poachers; Kenya was right to impose a life sentence for aggravated poaching. The Tanzanian proposal to “shoot to kill” was too extreme; summary execution is never acceptable. But if indeed someone currently has a weapons pointed at an elephant and refuses to drop it, I consider it justifiable to shoot them, just as I would if that weapon were aimed at a human.

The need for a categorical ban is what makes the current US proposal dangerous. The particular exceptions it carves out are not all that large, but the fact that it carves out exceptions at all makes enforcement much more difficult. To his credit, Trump himself doesn’t seem very keen on the proposal, which may mean that it is dead in the water. I don’t get to say this often, but so far Trump seems to be making the right choice on this one.

Though the economic theory predicted otherwise, the empirical data is actually quite clear: The most effective way to save elephants from poaching is an absolutely categorical ban on ivory.

Ivory-burning is a signal of commitment to such a ban. Any ivory we find being sold, we will burn. Whoever was trying to sell it will lose their entire investment. Find more, and we will burn that too.

The extreme efficiency of environmental regulation—and the extreme inefficiency of war

Apr 8 JDN 2458217

Insofar as there has been any coherent policy strategy for the Trump administration, it has largely involved three things:

  1. Increase investment in military, incarceration, and immigration enforcement
  2. Redistribute wealth from the poor and middle class to the rich
  3. Remove regulations that affect business, particularly environmental regulations

The human cost of such a policy strategy is difficult to overstate. Literally millions of people will die around the world if such policies continue. This is almost the exact opposite of what our government should be doing.

This is because military is one of the most wasteful and destructive forms of government investment, while environmental regulation is one of the most efficient and beneficial. The magnitude of these differences is staggering.

First of all, it is not clear that the majority of US military spending provides any marginal benefit. It could quite literally be zero. The US spends more on military than the next ten countries combined.

I think it’s quite reasonable to say that the additional defense benefit becomes negligible once you exceed the sum of spending from all plausible enemies. China, Russia, and Saudi Arabia together add up to about $350 billion per year. Current US spending is $610 billion per year. (And this calculation, by the way, requires them all to band together, while simultaneously all our NATO allies completely abandon us.) That means we could probably cut $260 billion per year without losing anything.

What about the remaining $350 billion? I could be extremely generous here, and assume that nuclear weapons, alliances, economic ties, and diplomacy all have absolutely no effect, so that without our military spending we would be invaded and immediately lose, and that if we did lose a war with China or Russia it would be utterly catastrophic and result in the deaths of 10% of the US population. Since in this hypothetical scenario we are only preventing the war by the barest margin, each year of spending only adds 1 year to the lives of the war’s potential victims. That means we are paying some $350 billion per year to add 1 year to the lives of 32 million people. That is a cost of about $11,000 per QALY. If it really is saving us from being invaded, that doesn’t sound all that unreasonable. And indeed, I don’t favor eliminating all military spending.

Of course, the marginal benefit of additional spending is still negligible—and UN peacekeeping is about twice as cost-effective as US military action, even if we had to foot the entire bill ourselves.

Alternatively, I could consider only the actual, documented results of our recent military action, which has resulted in over 280,000 deaths in Iraq and 110,000 in Afghanistan, all for little or no apparent gain. Life expectancy in these countries is about 70 in Iraq and 60 in Afghanistan. Quality of life there is pretty awful, but people are also greatly harmed by war without actually dying in it, so I think a fair conversion factor is about 60 QALY per death. That’s a loss of 23.4 MQALY. The cost of the Iraq War was about $1.1 trillion, while the cost of the Afghanistan War was about a further $1.1 trillion. This means that we paid $94,000 per lost QALY. If this is right, we paid enormous amounts to destroy lives and accomplished nothing at all.

Somewhere in between, we could assume that cutting the military budget greatly would result in the US being harmed in a manner similar to World War 2, which killed about 500,000 Americans. Paying $350 billion per year to gain 500,000 QALY per year is a price of $700,000 per QALY. I think this is about right; we are getting some benefit, but we are spending an enormous amount to get it.

Now let’s compare that to the cost-effectiveness of environmental regulation.

Since 1990, the total cost of implementing the regulations in the Clean Air Act was about $65 billion. That’s over 28 years, so less than $2.5 billion per year. Compare that to the $610 billion per year we spend on the military.

Yet the Clean Air Act saves over 160,000 lives every single year. And these aren’t lives extended one more year as they were in the hypothetical scenario where we are just barely preventing a catastrophic war; most of these people are old, but go on to live another 20 years or more. That means we are gaining 3.2 MQALY for a price of $2.5 billion. This is a price of only $800 per QALY.

From 1970 to 1990, the Clean Air Act cost more to implement: about $520 billion (so, you know, less than one year of military spending). But its estimated benefit was to save over 180,000 lives per year, and its estimated economic benefit was $22 trillion.

Look at those figures again, please. Even under very pessimistic assumptions where we would be on the verge of war if not for our enormous spending, we’re spending at least $11,000 and probably more like $700,000 on the military for each QALY gained. But environmental regulation only costs us about $800 per QALY. That’s a factor of at least 14 and more likely 1000. Environmental regulation is probably about one thousand times as cost-effective as military spending.

And I haven’t even included the fact that there is a direct substitution here: Climate change is predicted to trigger thousands if not millions of deaths due to military conflict. Even if national security were literally the only thing we cared about, it would probably still be more cost-effective to invest in carbon emission reduction rather than building yet another aircraft carrier. And if, like me, you think that a child who dies from asthma is just as important as one who gets bombed by China, then the cost-benefit analysis is absolutely overwhelming; every $60,000 spent on war instead of environmental protection is a statistical murder.

This is not even particularly controversial among economists. There is disagreement about specific environmental regulations, but the general benefits of fighting climate change and keeping air and water clean are universally acknowledged. There is disagreement about exactly how much military spending is necessary, but you’d be hard-pressed to find an economist who doesn’t think we could cut our military substantially with little or no risk to security.

I’m not sure environmentalists understand what the word “consumption” means to economists.

Feb 25 JDN 2458175

Several times now I’ve heard environmentalists repeat variants of this line: “Capitalist economies depend on consumption; therefore capitalism is incompatible with environmental sustainability.”

A recent example comes from this article on QZ arguing that “conscious consumerism” isn’t viable for protecting the environment:

In short, consumption is the backbone of the American economy—which means individual conscious consumerism is basically bound to fail. “70% of GDP in the US is based on household consumption. So all the systems, the market, the institutions, everything is calibrated to maximize consumption,” Brown told me in a later interview. “The whole marketing industry and advertising invents new needs we didn’t know we had.”

Consumption. You keep using that word… I do not think it means what you think it means.

To be clear, let me say that I basically agree that “conscious consumerism” isn’t good enough. There are a few big things you can do to reduce your carbon footprint, like moving to California (or better yet, Scandinavia), becoming vegetarian, driving a hybrid car (or not driving at all), and not flying on airplanes. Aside from that, your consumer choices are not going to have a large impact. There is a huge amount of greenwashing that goes on—products that present themselves as eco-friendly which really aren’t. And these things by themselves are not enough. A 2012 study by the European Roundtable on Sustainable Consumption and Production found little or no difference in long-run carbon footprint between people who claim to be “green consumers” and people who don’t.

Moreover, there is a strong positive correlation between a country’s GDP and its carbon footprint. The list of countries with the highest carbon emissions looks a lot like the list of countries with the highest GDP.

But there is still substantial variation in the ratio of GDP to carbon emissions. Scandinavia does extremely well, at over $5,000 per ton (as does France, thanks to nuclear energy), while most European countries make about $3,000 per ton, the US is at about $2,000 per ton, and the very most carbon-intensive economies like China, the UAE, and South Africa only make about $1,000 per ton. China produces more carbon emissions per capita than Denmark despite having only one-third the standard of living (at purchasing power parity). Emissions also vary a great deal by states within the US; California’s per-capita emissions are comparable to France’s, while Wyoming’s are worse than the UAE’s.

This brings me to my main point, which is that economists don’t mean the same thing by the word “consumption” that environmentalists do. The environmentalist meaning might be closer to common usage: When something is consumed, we think of it as being destroyed, despoiled, degraded. (It’s even an archaic euphemism for tuberculosis.) So I can see why you would think that if our economy is 70% “consumption” that must make capitalism terrible for the environment: An economy that is 70% destruction, despoliation, and degradation does sound pretty bad.

But when economists use the word “consumption”, what we actually mean is private household expenditure. Our economy is 70% “consumption” in the sense that 70% of the dollars spent in GDP are spent by private individuals as opposed to corporations or the government. Of the $19.7 trillion of US GDP, $13.6 trillion was personal consumption expenditures. That’s actually 69%, but it’s okay to round up to 70%. The rest is made up of $3.4 trillion in government spending, $3.3 trillion in private investment, and a loss of $0.6 trillion from our trade deficit.

There’s no particular connection between private household expenditure and destruction, despoliation, or degradation. In fact, the most destructive form of GDP is obviously military spending, which is not counted as “consumption” in the National Income and Product Accounts but rather as “government expenditure”. Military spending is almost pure waste from an ecological perspective; it consumes mind-boggling amounts of fossil fuels in addition to causing death and destruction. The US military produces almost as much total carbon emissions as the entire country of Denmark.

In fact, the vast majority of private household expenditure in highly-developed countries is in the form of services—over $9.2 trillion in the US. The top four categories for expenditure on services in the US are housing/utilities, healthcare, finance, and food service. I can at least see how housing and utilities would be related to ecological impact—concrete and steel are very carbon-intensive, as is electricity if you’re not using nuclear or renewables. But healthcare, finance, and food service? When environmentalists point to the fact that 70% of our economy is consumption as evidence of the fundamental unsustainability of capitalism, this amounts to asserting that the reason we can’t prevent global warming is that there are so many nurses, accountants, and waiters.

Of course, most people don’t quite grasp what economists mean when we use the word “consumption”, so it makes for a nice talking point for environmentalists. You can conjure images of degradation and destruction while citing the respected authority of the National Income and Product Accounts. If you were already left-wing otherwise (as most environmentalists are), you can make it seem as though the problem is capitalism itself, the very structure of an economy built upon “consuming” the Earth.

In reality, there is enormous variation between countries in terms of their carbon efficiency, and in fact the most carbon-efficient nations are all those that have the highest degrees of political and economic freedom—which is to say, social democracies. One can debate whether social democracies like Denmark and Sweden are “truly capitalist”, but they definitely have free-market economies with large private sectors. On a global and historical scale, there’s really not that much difference between Denmark and the United States (compare to the USSR, or China, or Burkina Faso, or Medieval Japan, or Classical Rome). And if the US isn’t capitalist, who is?

My advice? Don’t talk about consumption at all. Talk about carbon emissions. Don’t ignore variation in GDP/carbon ratios: If the world copied China, we’d all have a per-capita income of $15,500 and emissions of 7.6 tons of carbon per person per year; but if the world copied Denmark, we’d all have a per-capita income of $51,000 and emissions of 6.8 tons of carbon per person per year. (Granted, even 6.8 is still too high; the targets I’ve seen say we need to be at about 3.0 by 2030. But Denmark has also been trending downward in emissions, so we could copy them on that too.) Reducing our standard of living wouldn’t save us if it meant being like China, and maintaining it wouldn’t hurt us if it meant being like Denmark.

I definitely agree that focusing on consumer choices isn’t good enough. Focus on policy. Carbon taxes, bans on unconventional extraction (e.g. offshore drilling, fracking), heavy investment in solar and nuclear energy, large reforestation projects, research into soil sequestration and ocean seeding. Demand these things from all politicians of all parties at all levels of government always. Don’t take no for an answer—because millions of people will die if we don’t stop climate change.

But I don’t think nurses, accountants, and waiters are the problem—and it doesn’t hurt for people to become vegetarian and buy hybrid cars.

How rich are we, really?

Oct 29, JDN 2458056

The most commonly-used measure of a nation’s wealth is its per-capita GDP, which is simply a total of all spending in a country divided by its population. More recently we adjust for purchasing power, giving us GDP per capita at purchasing power parity (PPP).

By this measure, the United States always does well. At most a dozen countries are above us, most of them by a small amount, and all of them are quite small countries. (For fundamental statistical reasons, we should expect both the highest and lowest average incomes to be in the smallest countries.)

But this is only half the story: It tells us how much income a country has, but not how that income is distributed. We should adjust for inequality.

How can we do this? I have devised a method that uses the marginal utility of wealth plus a measure of inequality called the Gini coefficient to work out an estimate of the average utility, instead of the average income.

I then convert back into a dollar figure. This figure is the income everyone would need to have under perfect equality, in order to give the same real welfare as the current system. That is, if we could redistribute wealth in such a way to raise everyone above this value up to it, and lower everyone above this value down to it, the total welfare of the country would not change. This provides a well-founded ranking of which country’s people are actually better off overall, accounting for both overall income and the distribution of that income.

The estimate is sensitive to the precise form I use for marginal utility, so I’ll show you comparisons for three different cases.

The “conservative” estimate uses a risk aversion parameter of 1, which means that utility is logarithmic in income. The real value of a dollar is inversely proportional to the number of dollars you already have.

The medium estimate uses a risk aversion parameter of 2, which means that the real value of a dollar is inversely proportional to the square of the number of dollars you already have.

And then the “liberal” estimate uses a risk aversion parameter of 3, which means that the real value of a dollar is inversely proportional to the cube of the number of dollars you already have.

I’ll compare ten countries, which I think are broadly representative of classes of countries in the world today.

The United States, the world hegemon which needs no introduction.

China, rising world superpower and world’s most populous country.

India, world’s largest democracy and developing economy with a long way to go.

Norway, as representative of the Scandinavian social democracies.

Germany, as representative of continental Europe.

Russia, as representative of the Soviet Union and the Second World bloc.

Saudi Arabia, as representative of the Middle East petrostates.

Botswana, as representative of African developing economies.

Zimbabwe, as representative of failed Sub-Saharan African states.

Brazil, as representative of Latin American developing economies.
The ordering of these countries by GDP per-capita PPP is probably not too surprising:

  1. Norway 69,249
  2. United States 57,436
  3. Saudi Arabia 55,158
  4. Germany 48,111
  5. Russia 26,490
  6. Botswana 17,042
  7. China 15,399
  8. Brazil 15,242
  9. India 6,616
  10. Zimbabwe 1,970

Norway is clearly the richest, the US, Saudi Arabia, and Germany are quite close, Russia is toward the upper end, Botswana, China, and Brazil are close together in the middle, and then India and especially Zimbabwe are extremely poor.

But now let’s take a look at the inequality in each country, as measured by the Gini coefficient (which ranges from 0, perfect equality, to 1, total inequality).

  1. Botswana 0.605
  2. Zimbabwe 0.501
  3. Brazil 0.484
  4. United States 0.461
  5. Saudi Arabia 0.459
  6. China 0.422
  7. Russia 0.416
  8. India 0.351
  9. Germany 0.301
  10. Norway 0.259

The US remains (alarmingly) close to Saudi Arabia by this measure. Most of the countries are between 40 and 50. But Botswana is astonishingly unequal, while Germany and Norway are much more equal.

With that in mind, let’s take a look at the inequality-adjusted per-capita GDP. First, the conservative estimate, with a parameter of 1:

  1. Norway 58700
  2. United States 42246
  3. Saudi Arabia 40632
  4. Germany 39653
  5. Russia 20488
  6. China 11660
  7. Botswana 11138
  8. Brazil 11015
  9. India 5269
  10. Zimbabwe 1405

So far, ordering of nations is almost the same compared to what we got with just per-capita GDP. But notice how Germany has moved up closer to the US and Botswana actually fallen behind China.

Now let’s try a parameter of 2, which I think is the closest to the truth:

  1. Norway 49758
  2. Germany 32683
  3. United States 31073
  4. Saudi Arabia 29931
  5. Russia 15581
  6. China 8829
  7. Brazil 7961
  8. Botswana 7280
  9. India 4197
  10. Zimbabwe 1002

Now we have seen some movement. Norway remains solidly on top, but Germany has overtaken the United States and Botswana has fallen behind not only China, but also Brazil. Russia remains in the middle, and India and Zimbawbe remain on the bottom.

Finally, let’s try a parameter of 3.

  1. Norway 42179
  2. Germany 26937
  3. United States 22855
  4. Saudi Arabia 22049
  5. Russia 11849
  6. China 6685
  7. Brazil 5753
  8. Botswana 4758
  9. India 3343
  10. Zimbabwe 715

Norway has now pulled far and away ahead of everyone else. Germany is substantially above the United States. China has pulled away from Brazil, and Botswana has fallen almost all the way to the level of India. Zimbabwe, as always, is at the very bottom.

Let’s compare this to another measure of national well-being, the Inequality-Adjusted Human Development Index (which goes from 0, the worst, to 1 the best). This index combines education, public health, and income, and adjusts for inequality. It seems to be a fairly good measure of well-being, but it’s very difficult to compile data for, so a lot of countries are missing (including Saudi Arabia); plus the precise weightings on everything are very ad hoc.

  1. Norway 0.898
  2. Germany 0.859
  3. United States 0.796
  4. Russia 0.725
  5. China 0.543
  6. Brazil 0.531
  7. India 0.435
  8. Botswana 0.433
  9. Zimbabwe 0.371

Other than putting India above Botswana, this ordering is the same as what we get from my (much easier to calculate and theoretically more well-founded) index with either a parameter of 2 or 3.

What’s more, my index can be directly interpreted: The average standard of living in the US is as if everyone were making $31,073 per year. What exactly is an IHDI index of 0.796 supposed to mean? We’re… 79.6% of the way to the best possible country?

In any case, there’s a straightforward (if not terribly surprising) policy implication here: Inequality is a big problem.

In particular, inequality in the US is clearly too high. Despite an overall income that is very high, almost 18 log points higher than Germany, our overall standard of living is actually about 5 log points lower due to our higher level of inequality. While our average income is only 19 log points lower than Norway, our actual standard of living is 47 log points lower.

Inequality in Botswana also means that their recent astonishing economic growth is not quite as impressive as it at first appeared. Many people are being left behind. While in raw income they appear to be 10 log points ahead of China and only 121 log points behind the US, once you adjust for their very high inequality they are 19 log points behind China, and 145 log points behind the US.

Of course, some things don’t change. Norway is still on top, and Zimbabwe is still on the bottom.

Will China’s growth continue forever?

July 23, JDN 2457958

It’s easy to make the figures sound alarming, especially if you are a xenophobic American:

Annual GDP growth in the US is currently 2.1%, while annual GDP growth in China is 6.9%. At markte exchange rates, US GDP is currently $18.6 trillion, while China’s GDP is $11.2 trillion. If these growth rates continue, that means that China’s GDP will surpass ours in just 12 years.

Looking instead at per-capita GDP (and now using purchasing-power-parity, which is a much better measure for standard of living), the US is currently at $53,200 per person per year while China is at $14,400 per person per year. Since 2010 US per-capita GDP PPP has been growing at about 1.2%, while China’s has been growing at 7.1%. At that rate, China will surpass the US in standard of living in only 24 years.

And then if you really want to get scared, you start thinking about what happens if this growth continues for 20, or 30, or 50 years. At 50 years of these growth rates, US GDP will just about triple; but China’s GDP would increase by almost a factor of thirty. US per-capita GDP will increase to about $150,000, while China’s per-capita GDP will increase all the way to $444,000.

But while China probably will surpass the US in total nominal GDP within say 15 years, the longer-horizon predictions are totally unfounded. In fact, there is reason to believe that China will never surpass the US in standard of living, at least within the foreseeable future. Sure, some sort of global catastrophe could realign the world’s fortunes (climate change being a plausible candidate) and over very long time horizons all sorts of things can happen; but barring catastrophe and looking within the next few generations, there’s little reason to think that the average person in China will actually be better off than the average person in the United States. Indeed, while that $150,000 figure is actually remarkably plausible, that $444,000 figure is totally nonsensical. I project that in 2065, per-capita GDP in the US will indeed be about $150,000, but per-capita GDP in China will be more like $100,000.

That’s still a dramatic improvement over today for both countries, and something worth celebrating; but the panic that the US must be doing something wrong and China must be doing something right, that China is “eating our lunch” in Trump’s terminology, is simply unfounded.

Why am I so confident of this? Because, for all the proud proclamations of Chinese officials and panicked reports of American pundits, China’s rapid growth rates are not unprecedented. We have seen this before.

Look at South Korea. As I like to say, the discipline of development economics is basically the attempt to determine what happened in South Korea 1950-2000 and how to make it happen everywhere.

In 1960, South Korea’s nominal per-capita GDP was only $944. In 2016, it was $25,500. That takes them from solidly Third World underdeveloped status into very nearly First World highly-developed status in just two generations. This was an average rate of growth of 6.0%. But South Korea didn’t grow steadily at 6.0% for that entire period. Their growth fluctuated wildly (small countries tend to do that; they are effectively undiversified assets), but also overall trended downward.

The highest annual growth rate in South Korea over that time period was an astonishing 20.8%. Over twenty percent per year. Now that is growth you would feel. Imagine going from an income of $10,000 to an income of $12,000, in just one year. Imagine your entire country doing this. In its best years, South Korea was achieving annual growth rates in income comparable to the astronomical investment returns of none other than Warren Buffett (For once, we definitely had r < g). Even if you smooth out over the boom-and-bust volatility South Korea went through during that period, they were still averaging growth rates over 7.5% in the 1970s.

I wasn’t alive then, but I wouldn’t be surprised if Americans back then were panicking about South Korea’s growth too. Maybe not, since South Korea was and remains a close US ally, and their success displayed the superiority of capitalism over Communism (boy did it ever: North Korea’s per capita GDP also started at about $900 in 1960, and is still today… only about $1000!); but you could have made the same pie-in-the-sky forecasts of Korea taking over the world if you’d extrapolated their growth rates forward.

South Korea’s current growth rate, on the other hand? 2.9%. Not so shocking now!

Moreover, this is a process we understand theoretically as well as empirically. The Solow model is now well-established as the mainstream neoclassical model of economic growth, and it directly and explicitly predicts this sort of growth pattern, where a country that starts very poor will initially grow extremely fast as they build a capital base and reverse-engineer technology from more advanced countries, but then over a couple of generations their growth will slow down and eventually level off once they reach a high level of economic development.

Indeed, the basic reason is quite simple: A given proportional growth is easier to do when you start small. (There’s more to it than that, involving capital degradation and diminishing marginal returns, but at its core, that’s the basic idea.)

I think I can best instill this realization in you by making another comparison between the US and China: How much income are we adding in absolute terms?

US per-capita GDP of $53,200 is growing at 1.2% per year; that means we’re adding $640 per person per year. China per-capita GDP of $14,400 is growing at 7.1% per year; that means they’re adding $1,020 per year. So while it sounds like they are growing almost six times faster, they’re actually only adding about 40% more real income per person each year than we are. It’s just a larger proportion to them.

Indeed, China is actually doing relatively well on this scale. Many developing countries that are growing “fast” are actually adding less income per person in absolute terms than many highly-developed countries. India’s per capita GDP is growing at 5.8% per year, but adding only $340 per person per year. Ethiopia’s income per person is growing by 4.9%—which is only $75 per person per year. Compare this to the “slow” growth of the UK, where 1.0% annual growth is still $392 per person per year, or France, where “stagnant” growth of 0.8% is still $293 per person per year.

Back when South Korea was growing at 20%, that was still on the order of $200 per person per year. Their current 2.9%, on the other hand, is actually $740 per person per year. We often forget just how poor many poor countries truly are; what sounds like a spectacular growth rate still may not be all that much in absolute terms.

Here’s a graph (on a log scale) of GDP per capita in the US, Japan, China, and Korea, from World Bank data since 1960. I’d prefer to use GDP PPP, but the World Bank data doesn’t go back far enough.

As you can see, there is a general pattern of growth at a decreasing rate; it’s harder to see in China because they are earlier in the process; but there’s good reason to think that they will follow the same pattern.

If anything, I think the panic about Japan in the 1990s may have been more justifiable (not that it was terribly justified either). As you can see on the graph, in terms of nominal GDP per capita, Japan actually did briefly surpass the United States in the 1990s. Of course, the outcome of that was not a global war or Japan ruling the world or something; it was… the Nintendo Wii and the Toyota Prius.

Of course, that doesn’t stop people from writing news articles and even publishing economic papers about how this time is different, not like all the other times we saw the exact same pattern. Many Chinese officials appear to believe that China is special, that they can continue to grow at extremely high rates indefinitely without the constraints that other countries would face. But for once economic theory and economic data are actually in very good agreement: These high growth rates will not last forever. They will slow down, and that’s not such a bad thing. By the time they do, China will have greatly raised their standard of living to something very close to our own. Hundreds of millions of people have already been lifted out of abject poverty; continued growth could benefit hundreds of millions more.

The far bigger problem would be if the government refuses to accept that growth must slow down, and begins trying to force impossible levels of growth or altering the economic data to make it appear as though growth has occurred that hasn’t. We already know that the People’s Republic of China has a track record of doing this sort of thing: we know they have manipulated some data, though we think only in small ways, and the worst example of an attempt at forcing economic growth in human history was in China, the so-called “Great Leap Forward” that killed 20 million people. The danger is not that China will grow this fast forever, nor that they will slow down soon enough, but that they will slow down and their government will refuse to admit it.

Why “marginal productivity” is no excuse for inequality

May 28, JDN 2457902

In most neoclassical models, workers are paid according to their marginal productivity—the additional (market) value of goods that a firm is able to produce by hiring that worker. This is often used as an excuse for inequality: If someone can produce more, why shouldn’t they be paid more?

The most extreme example of this is people like Maura Pennington writing for Forbes about how poor people just need to get off their butts and “do something”; but there is a whole literature in mainstream economics, particularly “optimal tax theory”, arguing based on marginal productivity that we should tax the very richest people the least and never tax capital income. The Chamley-Judd Theorem famously “shows” (by making heroic assumptions) that taxing capital just makes everyone worse off because it reduces everyone’s productivity.

The biggest reason this is wrong is that there are many, many reasons why someone would have a higher income without being any more productive. They could inherit wealth from their ancestors and get a return on that wealth; they could have a monopoly or some other form of market power; they could use bribery and corruption to tilt government policy in their favor. Indeed, most of the top 0.01% do literally all of these things.

But even if you assume that pay is related to productivity in competitive markets, the argument is not nearly as strong as it may at first appear. Here I have a simple little model to illustrate this.

Suppose there are 10 firms and 10 workers. Suppose that firm 1 has 1 unit of effective capital (capital adjusted for productivity), firm 2 has 2 units, and so on up to firm 10 which has 10 units. And suppose that worker 1 has 1 unit of so-called “human capital”, representing their overall level of skills and education, worker 2 has 2 units, and so on up to worker 10 with 10 units. Suppose each firm only needs one worker, so this is a matching problem.

Furthermore, suppose that productivity is equal to capital times human capital: That is, if firm 2 hired worker 7, they would make 2*7 = $14 of output.

What will happen in this market if it converges to equilibrium?

Well, first of all, the most productive firm is going to hire the most productive worker—so firm 10 will hire worker 10 and produce $100 of output. What wage will they pay? Well, they need a wage that is high enough to keep worker 10 from trying to go elsewhere. They should therefore pay a wage of $90—the next-highest firm productivity times the worker’s productivity. That’s the highest wage any other firm could credibly offer; so if they pay this wage, worker 10 will not have any reason to leave.

Now the problem has been reduced to matching 9 firms to 9 workers. Firm 9 will hire worker 9, making $81 of output, and paying $72 in wages.

And so on, until worker 1 at firm 1 produces $1 and receives… $0. Because there is no way for worker 1 to threaten to leave, in this model they actually get nothing. If I assume there’s some sort of social welfare system providing say $0.50, then at least worker 1 can get that $0.50 by threatening to leave and go on welfare. (This, by the way, is probably the real reason firms hate social welfare spending; it gives their workers more bargaining power and raises wages.) Or maybe they have to pay that $0.50 just to keep the worker from starving to death.

What does inequality look like in this society?
Well, the most-productive firm only has 10 times as much capital as the least-productive firm, and the most-educated worker only has 10 times as much skill as the least-educated worker, so we might think that incomes would vary only by a factor of 10.

But in fact they vary by a factor of over 100.

The richest worker makes $90, while the poorest worker makes $0.50. That’s a ratio of 180. (Still lower than the ratio of the average CEO to their average employee in the US, by the way.) The worker is 10 times as productive, but they receive 180 times as much income.

The firm profits vary along a more reasonable scale in this case; firm 1 makes a profit of $0.50 while firm 10 makes a profit of $10. Indeed, except for firm 1, firm n always makes a profit of $n. So that’s very nearly a linear scaling in productivity.

Where did this result come from? Why is it so different from the usual assumptions? All I did was change one thing: I allowed for increasing returns to scale.

If you make the usual assumption of constant returns to scale, this result can’t happen. Multiplying all the inputs by 10 should just multiply the output by 10, by assumption—since that is the definition of constant returns to scale.

But if you look at the structure of real-world incomes, it’s pretty obvious that we don’t have constant returns to scale.

If we had constant returns to scale, we should expect that wages for the same person should only vary slightly if that person were to work in different places. In particular, to have a 2-fold increase in wage for the same worker you’d need more than a 2-fold increase in capital.

This is a bit counter-intuitive, so let me explain a bit further. If a 2-fold increase in capital results in a 2-fold increase in wage for a given worker, that’s increasing returns to scale—indeed, it’s precisely the production function I assumed above.
If you had constant returns to scale, a 2-fold increase in wage would require something like an 8-fold increase in capital. This is because you should get a 2-fold increase in total production by doubling everything—capital, labor, human capital, whatever else. So doubling capital by itself should produce a much weaker effect. For technical reasons I’d rather not get into at the moment, usually it’s assumed that production is approximately proportional to capital to the one-third power—so to double production you need to multiply capital by 2^3 = 8.

I wasn’t able to quickly find really good data on wages for the same workers across different countries, but this should at least give a rough idea. In Mumbai, the minimum monthly wage for a full-time worker is about $80. In Shanghai, it is about $250. If you multiply out the US federal minimum wage of $7.25 per hour by 40 hours by 4 weeks, that comes to $1160 per month.

Of course, these are not the same workers. Even an “unskilled” worker in the US has a lot more education and training than a minimum-wage worker in India or China. But it’s not that much more. Maybe if we normalize India to 1, China is 3 and the US is 10.

Likewise, these are not the same jobs. Even a minimum wage job in the US is much more capital-intensive and uses much higher technology than most jobs in India or China. But it’s not that much more. Again let’s say India is 1, China is 3 and the US is 10.

If we had constant returns to scale, what should the wages be? Well, for India at productivity 1, the wage is $80. So for China at productivity 3, the wage should be $240—it’s actually $250, close enough for this rough approximation. But the US wage should be $800—and it is in fact $1160, 45% larger than we would expect by constant returns to scale.

Let’s try comparing within a particular industry, where the differences in skill and technology should be far smaller. The median salary for a software engineer in India is about 430,000 INR, which comes to about $6,700. If that sounds rather low for a software engineer, you’re probably more accustomed to the figure for US software engineers, which is $74,000. That is a factor of 11 to 1. For the same job. Maybe US software engineers are better than Indian software engineers—but are they that much better? Yes, you can adjust for purchasing power and shrink the gap: Prices in the US are about 4 times as high as those in India, so the real gap might be 3 to 1. But these huge price differences themselves need to be explained somehow, and even 3 to 1 for the same job in the same industry is still probably too large to explain by differences in either capital or education, unless you allow for increasing returns to scale.

In most industries, we probably don’t have quite as much increasing returns to scale as I assumed in my simple model. Workers in the US don’t make 100 times as much as workers in India, despite plausibly having both 10 times as much physical capital and 10 times as much human capital.

But in some industries, this model might not even be enough! The most successful authors and filmmakers, for example, make literally thousands of times as much money as the average author or filmmaker in their own country. J.K. Rowling has almost $1 billion from writing the Harry Potter series; this is despite having literally the same amount of physical capital and probably not much more human capital than the average author in the UK who makes only about 11,000 GBP—which is about $14,000. Harry Potter and the Philosopher’s Stone is now almost exactly 20 years old, which means that Rowling made an average of $50 million per year, some 3500 times as much as the average British author. Is she better than the average British author? Sure. Is she three thousand times better? I don’t think so. And we can’t even make the argument that she has more capital and technology to work with, because she doesn’t! They’re typing on the same laptops and using the same printing presses. Either the return on human capital for British authors is astronomical, or something other than marginal productivity is at work here—and either way, we don’t have anything close to constant returns to scale.

What can we take away from this? Well, if we don’t have constant returns to scale, then even if wage rates are proportional to marginal productivity, they aren’t proportional to the component of marginal productivity that you yourself bring. The same software developer makes more at Microsoft than at some Indian software company, the same doctor makes more at a US hospital than a hospital in China, the same college professor makes more at Harvard than at a community college, and J.K. Rowling makes three thousand times as much as the average British author—therefore we can’t speak of marginal productivity as inhering in you as an individual. It is an emergent property of a production process that includes you as a part. So even if you’re entirely being paid according to “your” productivity, it’s not really your productivity—it’s the productivity of the production process you’re involved in. A myriad of other factors had to snap into place to make your productivity what it is, most of which you had no control over. So in what sense, then, can we say you earned your higher pay?

Moreover, this problem becomes most acute precisely when incomes diverge the most. The differential in wages between two welders at the same auto plant may well be largely due to their relative skill at welding. But there’s absolutely no way that the top athletes, authors, filmmakers, CEOs, or hedge fund managers could possibly make the incomes they do by being individually that much more productive.