The Scarcity

in print · The Rent · plate iii

Land was the first case of rent, but the same question follows a scarce machine, a skilled hour, or a place others need to use. Marshall carried the inquiry beyond the field by asking how supply can answer demand, and how the answer changes with time. This plate separates the fixed object from its services, the surplus of an existing machine from the cost of building it, and the price that allocates a scarce thing from the right to collect its proceeds. Scarcity can explain a return without settling who should receive it.

Scarcity can lift a price; it cannot name the rightful recipient.The argument of this plate, after Marshall

Land was only the first case, and the clearest. The field which cannot be multiplied has cousins everywhere: the berth beside a crowded quay, the machine that takes a year to build, the hour of someone whose skill few others possess. Each can earn its holder more than the payment required to keep it in use, because those who want it cannot readily summon another. Once this is seen, rent leaves the estate and enters the workshop, the profession, the network. But the widening of the idea makes its question more demanding. To say that something is scarce is to begin an inquiry into alternatives: how urgently it is wanted, what could replace it, how quickly a replacement could arrive, and who has the right to decide whether it will be supplied.

Rarity earns a rent only when someone wants what the rare thing can do. A stone unlike every other stone may be worthless; a place identical to a hundred neighboring places may be valuable because all hundred are wanted and there is no hundred-and-first. The scarcity that matters is a relation between available services and the demand for them. It can tighten when a population grows, when a new use is discovered, or when an alternative disappears. It can loosen while the physical object remains exactly as it was. The owner of a piece of ground cannot manufacture a second piece at the same address; a new road can nevertheless deprive that address of the advantage for which people paid. The persistence of the object and the persistence of its rent are two different histories.

Marshall carried the theory beyond the soil by imagining a shower of stones harder than diamonds. All have been found; no search can discover another; their cutting power makes them useful in production. Their owners receive a surplus whose size depends on the uses competing for the stones. Yet even in this fantastic case the limit is economic as well as physical. A steel tool may do some of the work equally well, and its reproducible supply restrains what a stone can command for that work. Where no tool can substitute, the pressure of demand has more room to act. Marshall then changes the story: suppose stones can be found by costly search, or can be reproduced cheaply and wear out quickly. With each change, a different part of their return becomes necessary to obtain the supply. The experiment moves from a gift already lying in the world toward a thing that must continually be made.

An invented harbor makes the arithmetic visible. Suppose one hundred identical berths are available for a day, their owners compete to let them all, and there is no alternative use or cost of making a berth available that day. After the users’ other expenses have been allowed for, the price at which q berths are wanted is 120 minus q pounds. All hundred are taken at £20 apiece, leaving their owners £2,000. Now demand rises, so that the corresponding price is 160 minus q. The same hundred berths let for £60 and yield £6,000. Nothing in the increase has called another berth into existence. It records a change in the competition for the existing places, paid over to those entitled to let them. The example assumes away operating costs and alternative uses precisely to expose this one part of the return.

The price still decides who gets to use the fixed places. With the same hundred berths sought by more than a hundred vessels, an additional user must displace another or wait. A payment can therefore do the work of allocation even where it elicits no additional supply. This was already present in Marshall’s stones, which move between employments until an additional stone can find no more valuable use without being taken from one at least as valuable. The revenue accruing to an owner and the price confronting a prospective user are connected, but they perform different jobs. One distributes the proceeds of scarcity; the other governs access to it. And a willingness to pay is exercised with the money a person has. The allocation the market produces and the allocation a community considers just remain distinct questions.

A fixed object can provide a variable amount of service, and that is another place where the easy language of scarcity can mislead. A machine can run a second shift; a site can carry a taller building; a skilled person can work longer, at a cost. The object may be unavailable in greater number while more of its services can still be obtained through labor, equipment, or inconvenience. Those additional services have costs that must be met. There is also a difference between the stock available to the whole economy and the quantity available to a particular user. The city’s land is fixed within its boundary, but a shopkeeper must bid a site away from other shops, offices, or homes. The income needed to keep the site in that particular use leads directly to the next plate’s distinction between transfer earnings and rent.

The most consequential scarcity is often the one that time can relieve. A workshop cannot obtain a new specialized machine by raising its bid this afternoon. It may obtain one next year, if someone orders the materials, hires the workers, and undertakes the construction. While the machine already installed is fixed, its receipts above the expenses of operating it are available to the owner as a quasi-rent. Marshall’s word marks a return attached to an investment already made. What it earns now depends on the market it serves, and can be far above or far below what its builder expected. A shortage can make a costly machine wonderfully remunerative; a change of fashion can leave it standing idle. Its construction bill records what was spent. Its present earning power records what the world now wants from it.

A quasi-rent can repay creation without leaving a penny of profit beyond it. Imagine a machine bought for £1,200 that lasts four periods, then has no value. In each period it brings receipts of £900 and requires £600 of operating expenditure; all figures are certain, interest is zero, and there are no other costs. Its quasi-rent is £300 each period. The four payments total £1,200, exactly replacing what was spent to build it. Every period contains an income above current running costs, while the entire undertaking yields no economic profit after its original outlay is included. This is why the short-run surplus cannot simply be pronounced unnecessary over the life of the asset. The decision to run a machine already built and the decision to build its replacement are separated by the very expenditure the first decision can treat as past.

Competition can bring the price of a reproducible service down to its full cost while leaving the receipts above its daily running cost positive. The workshop must pay for replacement, for the capital committed, and for the work of organization, as well as for the fuel burned today. If entry is feasible and new machines offer the same service, an exceptional return invites more of them; the surplus above the full competitive cost can then be eroded. The quasi-rent of a machine already in place need not vanish with it. Marshall was explicit about the danger of losing the distinction: the expectation of future quasi-rents helps induce investments whose construction expenses are absent from today’s operating decision. The clock changes which costs remain avoidable. It does not erase the costs that someone had to incur.

The useful map of scarcity therefore has several dimensions, and each bears on the income someone can claim. A mineral deposit has a physical limit, but finding it and extracting its contents require expenditure, and taking material out today leaves less for another day. A famous performer has only so many hours, but a recording can carry a performance to many listeners; the performer’s time and the audience’s access have different limits. A location cannot be copied, but a change in transport can make another location a substitute. What is fixed must be named closely enough to distinguish it from the services, improvements, and alternatives surrounding it. The question is never exhausted by pointing to an object and observing that there is only one of it.

Some limits are maintained by a rule, and their rents reveal the ownership of the rule’s permission. Imagine that a harbor has room for another hundred berths but grants only one hundred permits. The shortage now has two layers: the cost and time of building a berth, and the refusal to allow one to be built. An owner may have incurred real costs under that rule and may also receive a premium because the rule keeps competitors away. The same payment can contain both. Where a service cannot be expanded without sacrificing another valuable use, the scarcity poses a problem of allocation. Where expansion has been barred, the question reaches the reason for the barrier. The volume’s later plates on monopoly and position ask what the permission protects, and what its holder is being paid to provide.

The person who owns the scarce thing is not always the only person who can collect its surplus. A tenant may have secured a long lease before the neighborhood became desirable. A worker may possess the skill a firm needs but share the gain with whoever controls its customers or equipment. A buyer may pay a previous owner for a title in which the expected rent has already been capitalized. These arrangements distribute claims on the same productive setting, and a name on a balance sheet seldom tells the whole story. Marshall’s image of mixed incomes remains apt: the payment commonly called rent may include the return on improvements, while a payment commonly called wages may contain a scarcity surplus. To follow the rent, one must follow both the scarce service and the rights under which its proceeds are divided.

A thing’s scarcity explains what others will bid for it. The rights surrounding it decide who can collect.

The original question can now be asked with enough precision to be difficult. What is truly scarce is what cannot be made, found, substituted, or reassigned cheaply enough within the time and circumstances that matter; how much it earns depends also on the demand pressing against that limit. Who owns it is a further question about titles, contracts, inherited advantages, and the power to refuse access. Neither answer can be read from the payment alone. The return may repay a machine that someone built, reward the possession of a site that nobody made, or combine the two in one receipt. Rent becomes a way of opening that receipt and asking which necessity it pays for. The next plate gives the inquiry its sharpest instrument: the payment above what would keep the factor in its present use. The argument remains open.