La Bourse / Volume III / Nº III.11 / Ten concept briefs

A woman wrapped in a blanket holding a cup on a wooden terrace, morning mist over the trees beyond. — Plate III.11 · Ten concept briefsThe Standpipe at Six.She pays four times per litre what the household with the meter pays. There is no tariff on this water. That is precisely why it costs her so much.

TEN CONCEPT BRIEFS · Chapter III.11 — What Money Cannot Do

One page each. A reader who reads only these ten pages has the chapter.

BRIEF 1 — Motivation Crowding Out

The idea. Paying someone to do a thing can produce less of it, because the payment changes what the act means rather than what it earns.

The mechanism is not irrationality. It is that a single action can be described in two incompatible registers — a gift or a sale, a duty or a job — and introducing money selects the second description. If the actor was supplying effort out of the first, the supply was never priced and the price destroys the reason.

Worked example. In a Swedish blood-donation experiment, 52.0 percent of women donated when no payment was offered. Offered SEK 50, 30.0 percent did — a fall of 22.0 percentage points, a relative fall of 42.3 percent, a supply multiplier of 0.577. The decisive detail: when the SEK 50 could be assigned to charity instead of kept, the effect vanished, and among men there was no significant difference at all.

Why it matters. Crowding out is real and it is narrow. Across American Red Cross drives at scale, gift-card incentives raised turnout, rising in the value of the item. A practitioner who treats "never pay" as a principle will lose supply. A practitioner who treats "pay more, get more" as a law will destroy supply that was already free. The finding is a dose-response with a domain, not a verdict on markets.

You already know this because you have offered a friend money for help they were glad to give, and watched the atmosphere change.

BRIEF 2 — A Fine Is a Price

The idea. When you attach a charge to an unwanted behaviour, you have not added a deterrent to an obligation. You have replaced the obligation with a tariff, and people will pay the tariff.

Worked example. Ten Israeli day-care centres, twenty weeks. Six introduced a fine of 10.00 NIS for collecting a child late, against a monthly fee of 1,400.00 NIS — the fine was 0.714 percent of the fee. Late collections rose from roughly 8.0 a week to roughly 20.0, a multiplier of 2.50.

The result that makes it a finding rather than a curiosity: when the fine was withdrawn, lateness did not return to baseline. The price had deleted the sense that anything was owed, and removing the price did not restore it.

The second half of the same result. The same authors found performance on a task was non-monotonic in the piece rate: 28.4 correct answers unpaid, 23.1 at a tiny rate — 18.7 percent worse than unpaid — then 34.7 and 34.1 at larger rates. In a donation drive, students collected 238.6 NIS with no commission, 153.6 at 1 percent (35.6 percent below unpaid) and 219.3 at 10 percent, still 8.1 percent below. Pay properly or do not pay; the middle is the worst place to stand.

Why it matters. Before you price a behaviour, ask what is currently holding it in place. If the answer is an obligation, the price is a substitution and not an addition, and you should price at a level that would work if the obligation vanished — because it will.

You already know this because somebody has told you about a gym membership they pay for and never use, and felt better rather than worse about not going.

BRIEF 3 — Contingent Valuation

The idea. For a good that is never sold — a coastline, a species, a view — there is no market price, so you ask people what they would pay. That is contingent valuation, and it is the only method available for a large class of decisions that have to be made anyway.

The procedure. A scenario is described, a payment vehicle named (a tax, a levy, a fund), and a willingness to pay elicited — best practice since the 1993 NOAA panel being a referendum-style question rather than an open-ended one, in person, with conservative design choices throughout.

Worked example. The Exxon Valdez passive-use study produced a median willingness to pay of $31.00 per United States household, aggregating to $2,800,000,000. That implies 90,322,581 households against a country that had roughly 94 million — the aggregation is sound. Every argument about that study is about the $31.00, not about the multiplication.

Why it matters. The alternative to a contested number is not a better number. It is zero, entered silently, which is a far stronger claim than any survey makes. A method with known pathologies used by someone who can name them beats a default nobody has to defend.

You already know this because you have priced something you were never going to sell — a house, a company, a painting — and found that the act of naming a figure changed how you thought about it.

BRIEF 4 — Scope Insensitivity and Embedding

The idea. A valid valuation responds to how much of the good is on offer. In practice, stated willingness to pay frequently does not.

Worked example. Asked what they would pay to prevent migratory birds dying in oil ponds, respondents gave $80.00 for 2,000 birds, $78.00 for 20,000, and $88.00 for 200,000. The good rose by a factor of 100; the price by a factor of 1.10.

  scope elasticity = ln(88 / 80) / ln(200,000 / 2,000) = 0.0207

A scope elasticity of 0.02 is not a demand curve. Embedding is the same fault seen from another angle: the value given to a good on its own, and the value given to it as part of a larger package, are near-identical — which means the respondent is valuing the category, not the quantity.

What to do about it. Run a split-sample scope test before you run the main survey, and publish the elasticity. If it is near zero, you have measured a sentiment, and you should say so and use a different instrument. If it is materially positive, you have a valuation and you can defend it.

You already know this because you have donated the same amount to two appeals of wildly different size, and the amount was set by what felt right to give, not by what was being bought.

BRIEF 5 — Protest Zeros

The idea. A zero in a valuation survey has two incompatible meanings — this is worth nothing to me, and I refuse to answer a question posed in this currency — and they arrive in the same cell.

Worked example. Take a survey whose mean lands at the familiar $31.00: 1,000 respondents, 780 positive answers averaging $39.74, 120 true zeros and 100 protests.

  protests counted as zero   780 x 39.74 / 1,000  =  $31.00
  protests dropped           780 x 39.74 /   900  =  $34.44   (+11.1 %)

Aggregated across 90,322,581 households, that is $2,799,747,097 against $3,110,830,108. The coding decision is worth $311,083,011. No fieldwork changed; one analyst made one judgement.

Why it matters. The protest zero is the most informative answer in the dataset and it is routinely treated as the least. A cluster of protests is evidence that the good may sit outside the domain where prices carry meaning — which is exactly the finding the survey should have been looking for. Report the protest rate on the front page of every valuation, and report the aggregate both ways.

You already know this because you have been asked what a person is worth to you and refused to answer, and the refusal was not zero.

BRIEF 6 — Incommensurability, and the Undefined Shadow Price

The idea. Some shadow prices are difficult. Others are absent. The difference is testable and almost nobody tests it.

The test: does the interval narrow as the method improves?

Worked example, difficult. The value of a statistical life. The EPA's central figure is $7,400,000 in 2006 dollars. Deflate by CPI-U annual averages — 201.6 and 313.7, a deflator of 1.556 — and it is $11,514,782 in 2024 terms, which lands inside the range transport regulators reach by a wholly different route. Over 40 remaining life-years at 3 percent, an annuity factor of 23.115, it implies $498,157 per life-year. Contested. Not undefined.

Worked example, absent. A language with two hundred remaining speakers. Method A: the cost of full documentation, $500,000. Method B: $5 per household across 90,322,581 households, $451,612,903. The two defensible answers differ by 903.2 times, and better survey design does not close it, because the two methods are estimating different quantities.

Why it matters. Incommensurable is a word that gets used to end conversations. Given a test, it becomes a finding that opens one: no shadow price exists here, so choose an instrument from briefs 7 to 9 and proceed.

You already know this because you can say what an hour of your time costs an employer and cannot say what an hour with your child is worth, and the second one is not a harder version of the first.

BRIEF 7 — Quantity Instruments, and Standards

The idea. If you know the quantity you want and not the price, fix the quantity and let the price be discovered. If you know the outcome you want and not the route, fix the outcome and let the route be discovered.

Worked example, quantity. The American sulphur dioxide allowance market cut covered emissions 36.0 percent between 1990 and 2004 while coal-fired generation rose 25.0 percent — an emissions intensity of 0.5120 of the starting level, a fall of 48.8 percent. Compliance came in roughly $1 billion a year below the command-and-control equivalent.

Worked example, standard. Children's blood lead in the United States fell from a geometric mean of 15.0 µg/dL in 1976–80 to 2.8 µg/dL in 1991–94 — 81.3 percent, a ratio of 5.36. The estimated economic benefit is $110,000,000,000 to $319,000,000,000 per annual birth cohort; over 4,000,000 births, $27,500 to $79,750 per child. No microgram was ever priced — and the phase-down used tradable inter-refinery lead credits to find the cheap tonnes, which is a standard with a market inside it.

Why it matters. Both instruments put the price inside a constraint instead of at the top of the decision. You get the efficiency of trading without ever asking what a child's IQ point is worth.

You already know this because you have set a budget rather than a price, and found that the budget did the allocating for you.

BRIEF 8 — Inalienability, and the Clearing Mechanism

The idea. Declaring a good unsellable does not solve the allocation problem; it hands it to you. The good design pairs the prohibition with a machine that clears the market without money.

Worked example. Organs cannot be sold in most jurisdictions. Kidney paired donation was built instead — matching incompatible donor-recipient pairs into cycles and chains — and now runs on the order of 1,000 transplants a year in the United States. The arithmetic: dialysis costs about $94,000 per patient-year, a functioning graft about $38,000, a saving of $56,000 a year. The transplant year itself, around $120,000, is $26,000 above dialysis and is recovered in 5.6 months. Over ten graft-years that is $560,000 undiscounted, $477,691 at 3 percent, and $56,000,000 a year recurring at current volumes.

Why it matters. A matching mechanism produced the supply a price was supposed to produce. That is the general form: when the good is inalienable, the missing institution is usually an exchange rather than a market — a clearinghouse, a registry, a queue with a rule.

You already know this because you have swapped shifts with a colleague without either of you paying the other, and the swap cleared.

BRIEF 9 — Rationing, and Deliberative Allocation

The idea. Two instruments that allocate without price, and both have costs that people who advocate them tend not to state.

Rationing. Fix the per-person entitlement. Cape Town cut consumption from 1,200.0 to 500.0 megalitres a day between February 2015 and February 2018 — 58.3 percent, 700.0 megalitres — under a limit of 50.0 litres per person per day, which across 4,000,000 people is a floor of 200.0 megalitres. The cost: a reported revenue shortfall of R1,400,000,000 to R2,000,000,000, midpoint R1,700,000,000, against 255,500,000,000 litres saved in a year — R0.00665 per litre, R6.654 per cubic metre. Rationing works and it breaks the utility's revenue model.

Deliberation. Put the allocation in a room. Oregon ranked 709 condition-treatment pairs and funded down to line 587 — 82.8 percent, with 122 below the line and named. The cost: the first list was rejected by federal authorities in 1992 on disability-discrimination grounds and had to be rebuilt.

And what it can do. Porto Alegre put its capital budget in a room with the people who lacked a pipe: water connections 75.0 percent to 98.0 percent, sewerage 46.0 percent to 85.0 percent, between 1988 and 1997 — 92.0 percent of the water gap and 72.2 percent of the sewerage gap closed in nine years.

You already know this because you have watched a family divide something unpriceable by talking until everyone could live with it, which is slower than a price and more durable than one.

BRIEF 10 — The Implicit Price of a Refusal

The idea. Declining to price a good is not an abstention from allocation. It is an allocation rule with an incidence, and the incidence usually favours whoever already holds the thing.

Worked example. A city of 1,000,000 households holds its water tariff at $0.35 per cubic metre against a cost of $0.90, so each metered cubic metre carries $0.55 of subsidy. Unconnected households buy from vendors at $2.80 — 8.00 times the tariff. Connection rates by quintile are 35%, 50%, 70%, 85%, 95%, with connected use of 9, 11, 14, 18, 24 cubic metres a month and unconnected purchase of 4.0.

Quintile	Subsidy $/yr	Share	m³/month	$/month	$/m³
Q1	4,158,000	5.6%	5.75	8.38	1.458
Q5	30,096,000	40.3%	23.00	8.54	0.371

The richest quintile takes 40.3 percent of a 74,646,000 subsidy and the poorest 5.6 percent — 7.24 times as much. The poorest pay $1.458 per cubic metre and the richest $0.371: 3.93 times as much per litre. And the two quintiles spend, to within 1.9 percent, the same money — $8.38 against $8.54 — for 4.00 times the water.

Why it matters. The refusal to price is the tariff. It is levied in connection status, collected by vendors, and appears in no published schedule.

You already know this because you have waited in a queue for something free and understood, standing there, exactly what it was costing you.