Rethinking progressive taxation

Apr 17 JDN 2459687

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The fable of the billionaires

May 31 JDN 2458999

There are great many distortions in real-world markets that cause them to deviate from the ideal of perfectly competitive free markets, and economists rightfully spend much of their time locating, analyzing, and mitigating such distortions.

But I think there is a general perception among economists, and perhaps among others as well, that if we could somehow make markets perfectly competitive and efficient, we’d be done; the world, or at least the market, would be just and fair and all would be good. And this perception is gravely mistaken. To make that clear to you, I offer a little fable.

Once upon a time, widgets were made by hand. One person, working for one eight-hour day, could make 100 widgets. Most people were employed making widgets full-time. The wage for making widgets was $1 per widget.

Then, an inventor came up with a way to automate the production of widgets. For $100 per day, the same cost to hire a worker to make 100 widgets, the machine could instead make 101 widgets.

Because it was 1% more efficient, businesses began adopting the new machine, and now made slightly more widgets than before. But some workers who had previously made widgets were laid off, while others saw their wages fall to only $0.99 per widget.


If there were more widgets, but fewer people were getting paid less to make them, where did the extra wealth go? To the inventor, of course, who now owns 10% of all widget production and has billions of dollars.

Later, another inventor came up with an even better machine, which could make 102 widgets in a day. And that inventor became a billionare too, while more became unemployed and wages fell to $0.98 per widget.

And then there was another inventor, and another, and another; and today the machines can make 200 widgets in a day and wages are only $0.50 per widget. We now have twice as many widgets as we used to have, and hundreds of billionaires; yet only half as many people now work making widgets as once did, and those who remain make only half of what they once did.

Was this market inefficient or uncompetitive? Not at all! In fact it was quite efficient: It delivered the most widgets for the least cost every step of the way. And the first round of billionaires didn’t get enough power to keep the next round from innovating even better and also becoming billionaires. No one stole or cheated to get where they are; the billionaires really made it to the top by being brilliant innovators who made the world more efficient.

Indeed, by the standard measures of economic surplus, the world has gotten better with each new machine. GDP has gone up, wealth has gone up. Yet millions of people are out of work, and millions more are making pitifully low wages. Overall the nation seems to be worse off, even though all the numbers keep saying things are getting better.

There are some relatively simple solutions to this problem: We could tax those billionaires, and use the money to provide public goods to everyone else; and then the added wealth from doubling our quantity of widgets would benefit everyone and not just the inventors who made it happen. Would that reduce the incentives to innovate? A little, perhaps; but it’s hard to believe that most people who would be willing to invent something for $1 billion wouldn’t be willing to do so for $500 million or even for $50 million. At some point that extra money really isn’t benefiting you all that much. And what’s the point of incentivizing innovation if it makes life worse for most of our population?

In the real world there are lots of other problems, of course. Corruption, regulatory capture, rent-seeking, collusion, and so on all make our markets less efficient than they could have been. But even if markets were efficient, it’s not clear that they would be fair or just, or that they would be making most people’s lives better.

Indeed, I’m not convinced that most billionaires really got where they are by being particularly innovative. I can appreciate the innovations made by Cisco and Microsoft, but what brilliant innovation underlies Facebook or Amazon? The Internet itself is a great innovation (largely created by DARPA and universities), but is using it to talk to people or sell things really such a great leap? Tesla and SpaceX are innovative, but they have largely been money pits for Elon Musk, who inherited a good chunk of his wealth and made most of the rest by owning shares in PayPal. Yet even if we suppose that all the billionaires got where they are by inventing things that made the economy more efficient, it’s still not clear that they deserve to keep that staggering wealth.

I think the fundamental problem is that we have mentally equated ‘value of marginal product’ with ‘what you rightfully earn’. But the former is dependent upon the rest of the market: Who you are competing with, what your customers want. You can work very hard and be very talented, but if you’re making something that people aren’t willing to pay for, you won’t make any money. And the fact that people won’t pay for something doesn’t mean it isn’t valuable: If you produce public goods, they could benefit many people a great deal but still not draw in profits. Conversely, the fact that something is profitable doesn’t necessarily make it valuable: It could just be a very effective method of rent-seeking.

I’m not saying we should do away with markets; they’re very useful, and they do have a lot of benefits. But we should acknowledge their limitations. We should be aware not only that real-world markets are not perfectly efficient, but also that even a perfectly efficient market wouldn’t make for the best possible world.