monopoly

Wage-matching and the collusion under our noses

PNRJ critique of neoclassical economics, inequality, public policy , , , , , , , , ,

Jul 20 JDN 2460877

It was a minor epiphany for me when I learned, over the course of studying economics, that price-matching policies, while they seem like they benefit consumers, actually are a brilliant strategy for maintaining tacit collusion.

Consider a (Bertrand) market, with some small number n of firms in it.

Each firm announces a price, and then customers buy from whichever firm charges the lowest price. Firms can produce as much as they need to in order to meet this demand. (This makes the most sense for a service industry rather than as literal manufactured goods.)

In Nash equilibrium, all firms will charge the same price, because anyone who charged more would sell nothing. But what will that price be?

In the absence of price-matching, it will be just above the marginal cost of the service. Otherwise, it would be advantageous to undercut all the other firms by charging slightly less, and you could still make a profit. So the equilibrium price is basically the same as it would be in a perfectly-competitive market.

But now consider what happens if the firms can announce a price-matching policy.

If you were already planning on buying from firm 1 at price P1, and firm 2 announces that you can buy from them at some lower price P2, then you still have no reason to switch to firm 2, because you can still get price P2 from firm 1 as long as you show them the ad from the other firm. Under the very reasonable assumption that switching firms carries some cost (if nothing else, the effort of driving to a different store), people won’t switch—which means that any undercut strategy will fail.

Now, firms don’t need to set such low prices! They can set a much higher price, confident that if any other firm tries to undercut them, it won’t actually work—and thus, no one will try to undercut them. The new Nash equilibrium is now for the firms to charge the monopoly price.

In the real world, it’s a bit more complicated than that; for various reasons they may not actually be able to sustain collusion at the monopoly price. But there is considerable evidence that price-matching schemes do allow firms to charge a higher price than they would in perfect competition. (Though the literature is not completely unanimous; there are a few who argue that price-matching doesn’t actually facilitate collusion—but they are a distinct minority.)

Thus, a policy that on its face seems like it’s helping consumers by giving them lower prices actually ends up hurting them by giving them higher prices.

Now I want to turn things around and consider the labor market.

What would price-matching look like in the labor market?

It would mean that whenever you are offered a higher wage at a different firm, you can point this out to the firm you are currently working at, and they will offer you a raise to that new wage, to keep you from leaving.

That sounds like a thing that happens a lot.

Indeed, pretty much the best way to get a raise, almost anywhere you may happen to work, is to show your employer that you have a better offer elsewhere. It’s not the only way to get a raise, and it doesn’t always work—but it’s by far the most reliable way, because it usually works.

This for me was another minor epiphany:

The entire labor market is full of tacit collusion.

The very fact that firms can afford to give you a raise when you have an offer elsewhere basically proves that they weren’t previously paying you all that you were worth. If they had actually been paying you your value of marginal product as they should in a competitive labor market, then when you showed them a better offer, they would say: “Sorry, I can’t afford to pay you any more; good luck in your new job!”

This is not a monopoly price but a monopsonyprice (or at least something closer to it); people are being systematically underpaid so that their employers can make higher profits.

And since the phenomenon of wage-matching is so ubiquitous, it looks like this is happening just about everywhere.

This simple model doesn’t tell us how much higher wages would be in perfect competition. It could be a small difference, or a large one. (It likely varies by industry, in fact.) But the simple fact that nearly every employer engages in wage-matching implies that nearly every employer is in fact colluding on the labor market.

This also helps explain another phenomenon that has sometimes puzzled economists: Why doesn’t raising the minimum wage increase unemployment? Well, it absolutely wouldn’t, if all the firms paying minimum wage are colluding in the labor market! And we already knew that most labor markets were shockingly concentrated.

What should be done about this?

Now there we have a thornier problem.

I actually think we could implement a law against price-matching on product and service markets relatively easily, since these are generally applied to advertised prices.

But a law against wage-matching would be quite tricky indeed. Wages are generally not advertised—a problem unto itself—and we certainly don’t want to ban raises in general.

Maybe what we should actually do is something like this: Offer a cash bonus (refundable tax credit?) to anyone who changes jobs in order to get a higher wage. Make this bonus large enough to offset the costs of switching jobs—which are clearly substantial. Then, the “undercut” (“overcut”?) strategy will become more effective; employers will have an easier time poaching workers from each other, and a harder time sustaining collusive wages.

Businesses would of course hate this policy, and lobby heavily against it. This is precisely the reaction we should expect if they are relying upon collusion to sustain their profits.

A new theoretical model of co-ops

PNRJ critique of neoclassical economics, inequality, market failure, mathematical models, public policy , , , , , , , , ,

Mar 30 JDN 2460765

A lot of economists seem puzzled by the fact that co-ops are just as efficient as corporate firms, since they have this idea that profit-sharing inevitably results in lower efficiency due to perverse incentives.

I think they’ve been modeling co-ops wrong. Here I present a new model, a very simple one, with linear supply and demand curves. Of course one could make a more sophisticated model, but this should be enough to make the point (and this is just a blog post, not a research paper, after all).

Demand curve is p = a – b q

Marginal cost is f q

There are n workers, who would hold equal shares of the co-op.

Competitive market

First, let’s start with the traditional corporate firm in a competitive market.

Since the market is competitive, price would equal marginal cost would equal wage:

a – b q = d q

q = a/(b+f)

w = d (a/(b+f)) = (a d)/(b+f)

Total profit will be

(p – w)q = 0.

Monopoly firm

In a monopoly, marginal revenue would equal marginal cost:
d[pq]/dq = a – 2 b q

If they are also a monopsonist in the labor market, this marginal cost would be marginal cost of labor, not wage:

d[d q2]/dq = 2 f q

a – 2 b q = 2 f q

q = a/(2b + 2f)

p = a – b q = a (1 – b/(2b + 2f)) = (a (b + 2f))/(2b + 2f)

w = d q = (a f)/(2b + 2f)

Total profit will be

(p – w) q = ((a (b + 2f))/(2b + 2f) – (a f)/(2b + 2f))a/(2b + 2f) = a2/(4b + 2f)

Now consider the co-op.

First, suppose that instead of working for a wage, I work for profit sharing.

If our product market is competitive, we’ll be price-takers, and we will produce until price equals marginal cost:

p = f q

a – b q = f q

q = a/(a+b)

But will we, really? I only get 1/n share of the profits. So let’s see here. My marginal cost of production is still f q, but the marginal benefit I get from more sales may only be p/n.

In that case I would work until:

p/n = f q

(a – b q)/n = fq

a – b q = n f q

q = (a/(b+nf))

Thus I would under-produce. This is the usual argument against co-ops and similar shared ownership.

Co-ops with wages

But that’s not actually how co-ops work. They pay wages. Why do they do that? Well, consider what happens if I am offered a wage as a worker-owner of the co-op.

Is there any reason for the co-op to vote on a wage that is less than the competitive market? No, because owners are workers, so any additional profit from a lower wage would simply be taken from their own wages.

If there any reason for the co-op to vote on a wage that is more than the competitive market? No, because workers are owners, and any surplus lost by paying higher wages would simply be taken from their own profits.

So if the product market is competitive, the co-op will produce the same amount and charge the same price as a firm in perfect competition, even if they have market power over their own wages.

Monopoly co-ops

The argument above doesn’t assume that the co-op has no market power in the labor market. Thus if they are a monopoly in the product market and a monopsony in the labor market, they still pay a competitive wage.

Thus they would set marginal revenue equal to marginal cost:

a – 2 b q = f q

q = a/(2b + f)

The co-op will produce more than the monopoly firm..

This is the new price:

p = a – b q = a(1 – b/(2b+f)) = a(b+f)/(2b + f)

It’s not obvious that this is lower than the price charged by the monopoly firm, but it is.

(a (b + 2f))/(2b + 2f) – a(b+f)/(2b + f) = (a (2b + f)(b + 2f) – 2 a(b+f)2)/(2(b+f)(2b+f))

This is proportional to:

(2b + f)(b + 2f) – 2(b+f)2

2b2 + 5bf + 2f2 – (2b2 + 4bf + 2f2) = bf

So it’s not a large difference, but it’s there. In the presence of market power in the labor market, the co-op is better for consumers, because they get more goods and pay a lower price.

Thus, there is actually no lost efficiency from being a co-op. There is simply much lower inequality, and potentially higher efficiency.

But that’s just in theory.

What do we see in practice?

Exactly that.

Co-ops have the same productivity and efficiency as corporate firms, but they pay higher wages, provide better benefits, and offer collateral benefits to their communities. In fact, they are sometimes more efficient than corporate firms.

Since they’re just as efficient—if not more so—and produce much lower inequality, switching more firms over to co-ops would clearly be a good thing.

Why, then, aren’t co-ops more common?

Because the people who have the money don’t like them.

The biggest barrier facing co-ops is their inability to get financing, because they don’t pay shareholders (so no IPOs) and banks don’t like to lend to them. They tend to make less profit than corporate firms, which offers investors a lower return—instead that money goes to the worker-owners. This lower return isn’t due to inefficiency; it’s just a different distribution of income, more to labor and less to capital.

We will need new financial institutions to support co-ops, such as the Cooperative Fund of New England. And general redistribution of wealth would also help, because if middle class people had more wealth they could afford to finance co-ops. (It would also be good for many other reasons, of course.)

Why are groceries so expensive?

PNRJ current events, macroeconomics, politics, public policy , , , , , , , , , , , , , , ,

Aug 18 JDN 2460541

There has been unusually high inflation the past few years, mostly attributable to the COVID pandemic and its aftermath. But groceries in particular seem to have gotten especially more expensive. We’ve all felt it: Eggs, milk, and toilet paper especially soared to extreme prices and then, even when they came back down, never came down all the way.

Why would this be?

Did it involve supply chain disruptions? Sure. Was it related to the war in Ukraine? Probably.

But it clearly wasn’t just those things—because, as the FTC recently found, grocery stores have been colluding and price-gouging. Large grocery chains like Walmart and Kroger have a lot of market power, and they used that power to raise prices considerably faster than was necessary to keep up with their increased costs; as a result, they made record profits. Their costs did genuinely increase, but they increased their prices even more, and ended up being better off.

The big chains were also better able to protect their own supply chains than smaller companies, and so the effects of the pandemic further entrenched the market power of a handful of corporations. Some of them also imposed strict delivery requirements on their suppliers, pressuring them to prioritize the big companies over the small ones.

This kind of thing is what happens when we let oligopolies take control. When only a few companies control the market, prices go up, quality goes down, and inequality gets worse.

For far too long, institutions like the FTC have failed to challenge the ever tighter concentration of our markets in the hands of a small number of huge corporations.

And it’s not just grocery stores.

Our media is dominated by five corporations: Disney, WarnerMedia, NBCUniversal, Sony, and Paramount.

Our cell phone service is 99% controlled by three corporations: T-Mobile, Verizon, and AT&T.

Our music industry is dominated by three corporations: Sony, Universal, and Warner.

Two-thirds of US airline traffic are in four airlines: American, Delta, Southwest, and United.

Nearly 40% of US commercial banking assets are controlled by just three banks: JPMorgan Chase, Bank of America, and Citigroup.

Do I even need to mention the incredible market share Google has in search—over 90%—or Facebook has in social media—over 50%?

And most of these lists used to be longer. Disney recently acquired 21st Century Fox. Viacom recently merged with CBS and then became Paramount. Universal recently acquired EMI. Our markets aren’t simply alarmingly concentrated; they have also been getting more concentrated over time.

Institutions like the FTC are supposed to be protecting us from oligopolies, by ensuring that corporations can’t merge and acquire each other once they reach a certain market share. But decades of underfunding and laissez-faire ideology have weakened these institutions. So many mergers that obviously shouldn’t have been allowed were allowed, because no regulatory agency had the will and the strength to stop them.

The good news is that this is finally beginning to change: The FTC has recently (finally!) sued Google for maintaining a monopoly on Internet search. And among grocery stores in particular, the FTC is challenging Kroger’s acquisition of Albertson’s—though it remains unclear whether that challenge will succeed.

Hopefully this is a sign that the FTC has found its teeth again, and will continue to prosecute anti-trust cases against oligopolies. A lot of that may depend on who ends up in the White House this November.

Let’s call it “copytheft”

PNRJ core principles, critique of neoclassical economics, public policy , , , , , , , , ,

Feb 11 JDN 2460353

I have written previously about how ridiculous it is that we refer to the unauthorized copying of media such as music and video games as “piracy” as though it were somehow equivalent to capturing ships on the high seas.

In that post a few years ago I suggested calling it simply “unauthorized copying”, but that clearly isn’t catching on, perhaps because it’s simply too much of a mouthful. So today I offer a compromise:

Let’s call it “copytheft”.

That takes no longer to say than “piracy” (and only slightly longer to write), and far more clearly states what’s actually going on. No ships have been seized on the high seas; there has been no murder, arson, or slavery.

Yes, it’s debatable whether copytheft really constitutes theft—and I would generally argue that it does not—but just from hearing that word, you would probably infer that the following process took place:

  1. I took a thing.
  2. I made a copy of that thing that I wasn’t supposed to.
  3. I put the original thing back where it was, unharmed.

The paradigmatic example of this theft-copy-replace sequence would be a key, of course: You take someone’s key, copy it, then put the key back where it was, so you now can unlock their locks but they are none the wiser.

With unauthorized copying of media, you’re not exactly doing steps 1 and 3; the copier often has the media completely legitimately before they make the copy, and it may not even have a clear physical location to be put back to (it must be physically stored somewhere, but particularly if it’s streamed from the cloud it hardly matters where).

But you’re definitely doing step 2, and that was the only part that had a permanent effect; so I think that the nomenclature still seems to work well enough.

Copytheft also has a similar sound to copyleft, the use of alternative intellectual property mechanisms by the authors to grand broader licensing than is ordinarily afforded by copyright, and also to copyfraud, the crime of claiming exclusive copyright to content that is in fact public domain. Hopefully that common structure will help the term get some purchase.

Of course, I can hardly bring a word into widespread use on my own. Others like you have to not only read it, but like it enough that you’re willing to actually use it—and then we need a certain critical mass of people using it in order to make it actually catch on.

So, I’d like to take a moment to offer you some justification why it’s worth changing to this new word.

First, it is admittedly imperfect; by containing the word “theft”, it already feels like we’re conceding something to the defenders of copyright.

But by including the word “copy” in the term, we can draw attention to the most important aspect that distinguishes copytheft from, well, theft:

The original owner still has the thing.

That’s the part that they want us to forget, that the harsh word “piracy” leads you towards. A ship that is captured by pirates is a ship that may never again sail for your own navy. A song that is “pirated”—copythefted—is one that not only the original owners, but also everyone who bought it, still have in exactly the same state they did before.

Thus it simply cannot be that copytheft takes money out of the hands of artists. At worst, it fails to give money to artists.

That could still be a bad thing: Artists need to pay bills too, and a world where nobody pays for any art is surely a world with a lot fewer artists—and the ones who remain far more miserable. But it’s clearly a different sort of thing than ordinary theft, as nothing has been lost.

Moreover, it’s not clear that in most cases copytheft even does fail to give money that would otherwise have been given. Maybe sometimes it does—a certain proportion of people who copytheft a given song, film, or video game might have been willing to pay the original price if the copythefted version had not been available. But typically I suspect that people who’d be willing to pay full price… do pay full price. Thus, the people who are copythefting the media wouldn’t have bought it at full price anyway.

They might have bought it at some lower price, in which case that is foregone payment; but it’s surely considerably less than the “losses” often reported by the film and music industries, which seem to be based on the assumption that everyone who copythefts would have otherwise paid full price. And in fact many people might have been unwilling to buy at any nonzero price, and were only willing to copytheft the media precisely because it didn’t cost them any money or a great deal of effort to do so.

And in fact if you think about it, what about people who would have been willing to pay more than the original price? Surely there were many of them as well, yet we don’t grant media corporations the right to that money. That is also money that they could have been given but weren’t—and we decided, as a society, that they didn’t deserve to have it. It’s not that it would be impossible to do so: We could give corporations the authority to price-discriminate on all of their media. (They probably couldn’t do it perfectly, but they could surely do it quite well.) But we made the policy choice to live in a world where media is sold by single-price monopolies rather than one where it is sold by price-discriminating monopolies.

The mere fact that someone might have been willing to pay you more money if the market were different does not entitle you to receive that money. It has not been stolen from you. Indeed, typically it’s more that you have not been allowed to exploit them. It’s usually the presence of competition that prevents corporations from receiving the absolute maximum profit they might potentially have received if they had full control over the market. Corporations making less profit than they otherwise would have is generally a sign of good economic policy—a sign that things are reasonably fair.

Why else is “copytheft” a good word to use?

Above all, we do not allow our terms to be defined by our opponents.

We don’t allow them insinuate that our technically violating draconian regulations designed to maximize the profits of Disney and Viacom somehow constitutes a terrible crime against other human beings.

“Piracy is not a victimless crime”, they will say.

Well, actual piracy isn’t. But copytheft? Yeah, uh, it kinda is.

Maybe not quite as victimless as, say, marijuana or psilocybin, which no one even has any rational reason to prefer you not do. But still, you’re not really making anyone else worse off—that sounds pretty victimless.

Of course, it does give us less reason to wear tricorn hats and eyepatches.

But guess what? You can still do that anyway!

How to fix economics publishing

PNRJ core principles, personal, science and academia , , , , , , , , , ,

Aug 7 JDN 2459806

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Why copyrights should be shorter

PNRJ core principles, public policy , , , , , , ,

Jul 3 JDN 2459783

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

X (1 – (1+r)^(-T)) – 1)/r

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

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

100 (1 – 1.1^(-5))/0.1 = $379

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

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

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

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

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

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

which is basically the same as this:

1/r

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

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

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

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

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

X/(r-g)

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

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

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

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

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

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

So, our effective discount rate is 4%.

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

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

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

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

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

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

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

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

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

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

T = ln(2)/ln(1+r – g)

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

T = 69/(r-g)%

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

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

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

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

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

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

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

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

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

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

Are unions collusion?

PNRJ critique of neoclassical economics, ethics, market failure, public policy , , , , , , , , , , ,

Oct 31 JDN 2459519

The standard argument from center-right economists against labor unions is that they are a form of collusion: Producers are coordinating and intentionally holding back from what would be in their individual self-interest in order to gain a collective advantage. And this is basically true: In the broadest sense of the term, labor unions are are form of collusion. Since collusion is generally regarded as bad, therefore (this argument goes), unions are bad.

What this argument misses out on is why collusion is generally regarded as bad. The typical case for collusion is between large corporations, each of which already controls a large share of the market—collusion then allows them to act as if they control an even larger share, potentially even acting as a monopoly.

Labor unions are not like this. Literally no individual laborer controls a large segment of the market. (Some very specialized laborers, like professional athletes, or, say, economists, might control a not completely trivial segment of their particular job market—but we’re still talking something like 1% at most. Even Tiger Woods or Paul Krugman is not literally irreplaceable.) Moreover, even the largest unions can rarely achieve anything like a monopoly over a particular labor market.

Thus whereas typical collusion involves going from a large market share to an even larger—often even dominant—market share, labor unions involve going from a tiny market share to a moderate—and usually not dominant—market share.

But that, by itself, wouldn’t be enough to justify unions. While small family businesses banding together in collusion is surely less harmful than large corporations doing the same, it would probably still be a bad thing, insofar as it would raise prices and reduce the quantity or quality of products sold. It would just be less bad.

Yet unions differ from even this milder collusion in another important respect: They do not exist to increase bargaining power versus consumers. They exist to increase bargaining power versus corporations.

And corporations, it turns out, already have a great deal of bargaining power. While a labor union acts as something like a monopoly (or at least oligopoly), corporations act like the opposite: oligopsony or even monopsony.

While monopoly or monopsony on its own is highly unfair and inefficient, the combination of the two—bilateral monopoly—is actually relatively fair and efficient. Bilateral monopoly is probably not as good as a truly competitive market, but it is definitely better than either a monopoly or monopsony alone. Whereas a monopoly has too much bargaining power for the seller (resulting in prices that are too high), and a monopsony has too much bargaining power for the buyer (resulting in prices that are too low), a bilateral monopoly has relatively balanced bargaining power, and thus gets an outcome that’s not too much different from fair competition in a free market.

Thus, unions really exist as a correction mechanism for the excessive bargaining power of corporations. Most unions are between workers in large industries who work for a relatively small number of employers, such as miners, truckers, and factory workers. (Teachers are also an interesting example, because they work for the government, which effectively has a monopsony on public education services.) In isolation they may seem inefficient; but in context they really exist to compensate for other, worse inefficiencies.


We could imagine a world where this was not so: Say there is a market with many independent buyers who are unwilling or unable to reliably collude, and they are served by a small number of powerful unions that use their bargaining power to raise prices and reduce output.


We have some markets that already look a bit like that: Consider the licensing systems for doctors and lawyers. These are basically guilds, which are collusive in the same way as labor unions.

Note that unlike, say, miners, truckers, or factory workers, doctors and lawyers are not a large segment of the population; they are bargaining against consumers just as much as corporations; and they are extremely well-paid and very likely undersupplied. (Doctors are definitely undersupplied; with lawyers it’s a bit more complicated, but given how often corporations get away with terrible things and don’t get sued for it, I think it’s fair to say that in the current system, lawyers are undersupplied.) So I think it is fair to be concerned that the guild systems for doctors and lawyers are too powerful. We want some system for certifying the quality of doctors and lawyers, but the existing standards are so demanding that they result in a shortage of much-needed labor.

One way to tell that unions aren’t inefficient is to look at how unionization relates to unemployment. If unions were acting as a harmful monopoly on labor, unemployment should be higher in places with greater unionization rates. The empirical data suggests that if there is any such effect, it’s a small one. There are far more important determinants of unemployment than unionization. (Wages, on the other hand, show a strong positive link with unionization.) Much like the standard prediction that raising minimum wage would reduce employment, the prediction that unions raise unemployment has largely not been borne out by the data. And for much the same reason: We had ignored the bargaining power of employers, which minimum wage and unions both reduce.

Thus, the justifiability of unions isn’t something that we could infer a priori without looking at the actual structure of the labor market. Unions aren’t always or inherently good—but they are usually good in the system as it stands. (Actually there’s one particular class of unions that do not seem to be good, and that’s police unions: But this is a topic for another time.)

My ultimate conclusion? Yes, unions are a form of collusion. But to infer from that they must be bad is to commit a Noncentral Fallacy. Unions are the good kind of collusion.

Monopsony is all around us

PNRJ inequality, market failure, public policy, Uncategorized , , , , , ,

Mar 15 JDN 2458924

Perhaps because of the board game (the popularity of which honestly baffles me; it’s really not a very good game!), the concept of monopoly is familiar to most people: A market with one seller and many buyers can command high prices and high profits for the seller.

But the opposite situation, a market with many sellers and one buyer, is equally problematic, yet far less well-known. This is called monopsony. Whereas in a monopoly prices are too high, in a monopsony prices are too low.

I have long suspected, but the data now confirms, that the most widespread form of monopsony occurs in labor markets. This is a particularly bad place for monopsony, because it means that instead of consumer prices being lower, wages will be lower. Monopsonistic labor markets are bad in two ways: They lower wages and they increase unemployment.


Monopsonistic labor markets are one of the reasons why raising minimum wage seems to have very little effect on employment. In the presence of monopsony, forcing employers to increase wages won’t cause them to fire workers; it will just eat into their profits. In some cases it can actually cause them to hire more workers.

Take a look at this map, from the Roosevelt Institute:

widespread-labor-monopsony1

This map is color-coded by commuting zone, based on whether the average labor market (different labor markets weighted by their number of employees) is monopsonistic. Commuting zones with only a few major employers are colored red, while those with many employers are colored green. In between are shaded orange and yellow. (Not a very colorblind-friendly coding scheme, I’m afraid.)

Basically you can see that the only places where labor markets are not monopsonistic are in major metro areas. Suburban areas are typically yellow, and rural areas are almost all orange or red.


It seems then that we have two choices for where we want to live: We can live in rural areas and have monopsonistic labor markets with low wages and competitive real estate markets with low housing prices, or we can live in urban areas and have competitive labor markets with high wages and monopolistic real estate markets with high housing prices. There’s hardly anywhere we can live where both wages and housing prices are fair.

Actually the best seems to be Detroit! Median housing price in the Detroit area is an affordable $179,000, while median household income is a low but not terrible $31,000. This means you can pay off a house spending 30% of your income in about 10 years. That’s the American Dream, right there.

Compare this to the San Francisco area, where median housing price is $1.1 million and median income is an impressive $104,000. This means it would take over 35 years to pay off your house spending 30% of your income. (And that’s not accounting for interest!) You can make six figures in San Francisco and still be considered “low income”, because housing prices there are so absurd.

Of course, student loans are denominated in nominal terms, so you might actually be able to pay off your student loans faster living in San Francisco than you could in Detroit. Say taxes are 20%, so these become after-tax incomes of $25,000 and $83,000. Even if you spend only a third of your income on housing in Detroit and spend two-thirds in San Francisco, that leaves you with $16,600 in Detroit but $27,600 in San Francisco. Of course other prices are different too, but it seems quite likely that being able to pay $5,000 per year on your student loans is easier living in San Francisco than it is in Detroit.

What can be done about monopsony in labor markets? First, we could try to split up employers—the FTC already doesn’t do enough to break up monopolies, but it basically does nothing to break up monopsonies. But that may not always be feasible, particularly in rural areas. And there are genuine economies of scale that can make larger firms more efficient in certain ways; we don’t want to lose those.

Perhaps the best solution is the one we used to use, and most of the First World continues to use: Labor unions. Union membership in the US declined by half in the last 30 years. Europe is heavily unionized, and the most unionized of all are Scandinavian countries—probably not a coincidence that these are the most prosperous places in the world.


At first glance, labor unions seem anti-competitive: They act like a monopoly. But when you currently have a monopsony, adding a monopoly can actually be a good thing. Instead of one seller and many buyers, resulting in prices that are too low, you can have one seller and one buyer, resulting in prices that are negotiated and can, at least potentially, be much fairer. This market structure is called a bilateral monopoly, and while it’s not as good as perfect competition, it’s considerably more efficient than either monopsony or monopoly alone.

MSRP is tacit collusion

PNRJ critique of neoclassical economics, heuristics and biases, market failure, public policy , , , , , , , , ,

Oct 7 JDN 2458399

It’s been a little while since I’ve done a really straightforward economic post. It feels good to get back to that.

You are no doubt familiar with the “Manufacturer’s Suggested Retail Price” or MSRP. It can be found on everything from books to dishwashers to video games.

The MSRP is a very simple concept: The manufacturer suggests that all retailers sell it (at least the initial run) at precisely this price.

Why would they want to do that? There is basically only one possible reason: They are trying to sustain tacit collusion.

The game theory of this is rather subtle: It requires that both manufacturers and retailers engage in long-term relationships with one another, and can pick and choose who to work with based on the history of past behavior. Both of these conditions hold in most real-world situations—indeed, the fact that they don’t hold very well in the agriculture industry is probably why we don’t see MSRP on produce.

If pricing were decided by random matching with no long-term relationships or past history, MSRP would be useless. Each firm would have little choice but to set their own optimal price, probably just slightly over their own marginal cost. Even if the manufacturer suggested an MSRP, retailers would promptly and thoroughly ignore it.

This is because the one-shot Bertrand pricing game has a unique Nash equilibrium, at pricing just above marginal cost. The basic argument is as follows: If I price cheaper than you, I can claim the whole market. As long as it’s profitable for me to do that, I will. The only time it’s not profitable for me to undercut you in this way is if we are both charging just slightly above marginal cost—so that is what we shall do, in Nash equilibrium. Human beings don’t always play according to the Nash equilibrium, but for-profit corporations do so quite consistently. Humans have limited attention and moral values; corporations have accounting departments and a fanatical devotion to the One True Profit.

But the iterated Bertrand pricing game is quite different. If instead of making only one pricing decision, we make many pricing decisions over time, always with a high probability of encountering the same buyers and sellers again in the future, then I may not want to undercut your price, for fear of triggering a price war that will hurt both of our firms.

Much like how the Iterated Prisoner’s Dilemma can sustain cooperation in Nash equilibrium while the one-shot Prisoner’s Dilemma cannot, the iterated Bertrand game can sustain collusion as a Nash equilibrium.

There is in fact a vast number of possible equilibria in the iterated Bertrand game. If prices were infinitely divisible, there would be an infinite number of equilibria. In reality, there are hundreds or thousands of equilibria, depending on how finely divisible the price may be.

This makes the iterated Bertrand game a coordination game—there are many possible equilibria, and our task is to figure out which one to coordinate on.

If we had perfect information, we could deduce what the monopoly price would be, and then all choose the monopoly price; this would be what we call “payoff dominant”, and it’s often what people actually try to choose in real-world coordination games.

But in reality, the monopoly price is a subtle and complicated thing, and might not even be the same between different retailers. So if we each try to compute a monopoly price, we may end up with different results, and then we could trigger a price war and end up driving all of our profits down. If only there were some way to communicate with one another, and say what price we all want to set?

Ah, but there is: The MSRP. Most other forms of price communication are illegal: We certainly couldn’t send each other emails and say “Let’s all charge $59.99, okay?” (When banks tried to do that with the LIBOR, it was the largest white-collar crime in history.) But for some reason economists (particularly, I note, the supposed “free market” believers of the University of Chicago) have convinced antitrust courts that MSRP is somehow different. Yet it’s obviously hardly different at all: You’ve just made the communication one-way from manufacturers to retailers, which makes it a little less reliable, but otherwise exactly the same thing.

There are all sorts of subtler arguments about how MSRP is justifiable, but as far as I can tell they all fall flat. If you’re worried about retailers not promoting your product enough, enter into a contract requiring them to promote. Proposing a suggested price is clearly nothing but an attempt to coordinate tacit—frankly not even that tacit—collusion.

MSRP also probably serves another, equally suspect, function, which is to manipulate consumers using the anchoring heuristic: If the MSRP is $59.99, then when it does go on sale for $49.99 you feel like you are getting a good deal; whereas, if it had just been priced at $49.99 to begin with, you might still have felt that it was too expensive. I see no reason why this sort of crass manipulation of consumers should be protected under the law either, especially when it would be so easy to avoid.

There are all sorts of ways for firms to tacitly collude with one another, and we may not be able to regulate them all. But the MSRP is literally printed on the box. It’s so utterly blatant that we could very easily make it illegal with hardly any effort at all. The fact that we allow such overt price communication makes a mockery of our antitrust law.

The Irvine Company needs some serious antitrust enforcement

PNRJ ethics, inequality, market failure, public policy , , , , , , , , ,

Dec 17, JDN 2458105

I probably wouldn’t even have known about this issue if I hadn’t ended up living in Irvine.

The wealthiest real estate magnate in the United States is Donald Bren, sole owner of the Irvine Company. His net wealth is estimated at $15 billion, which puts him behind the likes of Jeff Bezos or Bill Gates, but well above Donald Trump even at his most optimistic estimates.

Where did he get all this wealth?

The Irvine Company isn’t even particularly shy about its history, though of course they put a positive spin on it. Right there on their own website they talk about how it used to be a series of ranches farmed by immigrants. Look a bit deeper into their complaints about “squatters” and it becomes apparent that the main reason they were able to get so rich is that the immigrant tenant farmers whose land they owned were disallowed by law from owning real estate. (Not to mention how it was originally taken from Native American tribes, as most of the land in the US was.) Then of course the land has increased in price and been passed down from generation to generation.

This isn’t capitalism. Capitalism requires a competitive market with low barriers of entry and trade in real physical capital—machines, vehicles, factories. The ownership of land by a single family that passes down its title through generations while extracting wealth from tenant farmers who aren’t allowed to own anything has another name. We call it feudalism.

The Irvine Company is privately-held, and thus not required to publish its finances the way a publicly-traded company would be, so I can’t tell you exactly what assets its owns or how much profit it makes. But I can tell you that it owns over 57,000 housing units—and there are only 96,000 housing units in the city of Irvine, so that means they literally own 60% of the city. They don’t just own houses either; they also own most of the commercial districts, parks, and streets.

As a proportion of all the housing in the United States, that isn’t so much. Even compared to Southern California (the most densely populated region in North America), it may not seem all that extravagant. But within the city of Irvine itself, this is getting dangerously close to a monopoly. Housing is expensive all over California, so they can’t be entirely blamed—but is it really that hard to believe that letting one company own 60% of your city is going to increase rents?

This is sort of thing that calls for a bold and unequivocal policy response. The Irvine Company should be forced to subdivide itself into multiple companies—perhaps Irvine Residential, Irvine Commercial, and Irvine Civic—and then those companies should be made publicly-traded, and a majority of their shares immediately distributed to the residents of the city. Unlike most land reform proposals, selecting who gets shares is actually quite straightforward: Anyone who pays rent on an Irvine Company property receives a share.

Land reform has a checkered history to say the least, which is probably why policymakers are reluctant to take this sort of approach. But this is a land reform that could be handled swiftly, by a very simple mechanism, with very clear rules. Moreover, it is entirely within the rule of law, as the Irvine Company is obviously at this point an illegitimate monopoly in violation of the Sherman Antitrust Act, Clayton Antitrust Act, and Federal Trade Commission Act. The Herfindahl-Hirschman Index for real estate in the city of Irvine would be at least 3600, well over the standard threshold of 2500 that FTC guidelines consider prima facie evidence of an antitrust violation in the market. Formally, the land reform could be accomplished by collecting damages in an amount necessary to purchase the shares at the (mandatory) IPO, then the beneficiaries of the damages paid in shares would be the residents of Irvine. The FTC is also empowered to bring criminal charges if necessary.

Oddly, most of the talk about the Irvine Company among residents of Irvine centers around their detailed policy decisions, whether expanding road X was a good idea, how you feel about the fact that they built complex Y. (There’s also a bizarre reverence for the Irvine Master Plan; people speak of it as if it were the US Constitution, when it’s actually more like Amazon.com’s five-year revenue targets. This is a for-profit company. Their plan is about taking your money.) This is rather like debating whether or not you have a good king; even if you do, you’re still a feudal subject. No single individual or corporation should have that kind of power over the population of an entire city. This is not a small city, either; Irvine has about three-quarters of the population of Iceland, or a third the population of Boston. Take half of Donald Bren’s $15 billion, divide it evenly over the 250,000 people of the city, and each one gets $30,000. That’s a conservative estimate of how much monopolistic rent the Irvine Company has extracted from the people of Irvine.

By itself, redistributing the assets of the Irvine Company wouldn’t solve the problem of high rents in Southern California. But I think it would help, and I’m honestly having trouble seeing the downsides. The only people who seem to be harmed are billionaires who inherited wealth that was originally extracted from serfs. Like I said, this is within the law, and wouldn’t require new legislation. We would only need to aggressively enforce laws that have been on the books for a century. It doesn’t even seem like it should be politically unpopular, as you’re basically giving a check for tens of thousands of dollars to each voting resident in the city.

Of course, it won’t happen. As usual, I’m imagining more justice in the world than there actually has ever been.