Efficient for Whom?
LECTURE 5 · PART 1
Why economists call the price-war outcome efficient, and why the verdict fails
A
B
C
D
E
F
P
Q
R
S
T
U
The economist’s argument at full strength
STAGE 1 · SLIDES 1–9
The textbook’s case, stated more clearly than the textbook states it, before anything is said against it.
The question lecture 4 left
1 · THE ARGUMENT AT FULL STRENGTH
3
3 housed
D, E and F, in the rooms of P, Q and R, at 340, 330 and 310
D
E
F
3 sent home
A, B and C. B and C lost rooms they had already secured
A
B
C
3 rooms empty
The rooms of S, T and U stand empty
S
T
U
The textbook’s word for this outcome: efficient
Why do economists call this outcome efficient, and are they right?
Lecture 5 · Efficient for Whom? · Part 1
The economist’s world
1 · THE ARGUMENT AT FULL STRENGTH
4
Three premises:
Benefit. What a buyer will pay measures all the good the purchase does.
Cost. What a seller requires measures all that society gives up to supply it.
Money. A lira counts the same in anyone’s hands, so payments between people are neither gains nor losses.
Consequence: the social gain from any trade is willingness to pay minus cost. The price only divides that gain between buyer and seller.
Lecture 5 · Efficient for Whom? · Part 1
Two outcomes: which is better?
1 · THE ARGUMENT AT FULL STRENGTH
5
| Price wars | Cross-matching |
Who is housed | D, E and F | All six: A–P, B–Q, C–R, D–S, E–T, F–U |
Rooms left empty | S, T and U | None |
Is every deal voluntary? | Yes | Yes. Every student pays within his budget; every owner gets more than his minimum |
The textbook’s verdict | Efficient | Inferior |
Cross-matching is lecture 4’s cooperative outcome, with rents of 75, 175, 275, 375, 475 and 575.
The textbook’s reasoning
An owner’s minimum is what letting his room costs society; a student’s budget is what housing him is worth to society. Compared with the price wars, cross-matching houses A, B and C, valued at 600 by their budgets, by letting the rooms of S, T and U, which cost 1,350 by their minimums. On this accounting, it leaves society 750 worse off.
Which outcome would you choose for this town? Why does the textbook choose the other?
Lecture 5 · Efficient for Whom? · Part 1
In that world, arbitrage is the engine of welfare
1 · THE ARGUMENT AT FULL STRENGTH
6
Under posted prices
F pays T 500, while B pays P 150: an arbitrage opportunity. F and P can deal at any rent between 150 and 500, and both gain. B loses her room and T his tenant, but total gains rise from 750 to 1,000.
The theorem (in the economist’s world)
Welfare can be increased only where an arbitrage opportunity remains. So once every arbitrage opportunity is used up, welfare is at its maximum, and every room lets at the same rent: one price maximises welfare.
The converse fails
The price wars ended at 310, 330 and 340, so D and P could still gain by dealing at 320. But welfare is already at its maximum: this arbitrage would only move gains between people.
Edgeworth (1881); Shapley and Shubik (1971).
Board: find all the arbitrage opportunities left in the posted-price outcome.
Lecture 5 · Efficient for Whom? · Part 1
“Getting the prices right”
1 · THE ARGUMENT AT FULL STRENGTH
7
In the economist’s world there is one right price: the competitive equilibrium. In our town, a rent of about 310–340.
At the right price, every trade worth making is made, and none that destroys value.
The right price does the planner’s job: each person decides privately, and the result maximises social welfare. No one needs to know anything but the price.
So Mankiw’s benevolent planner can leave well enough alone (p. 147).
Hence the policy rule: get the prices right. Remove “distortions” (controls, subsidies, tariffs, rules about who may bid) and let prices find their level.
In our town, every alternative to the price-war rent is a distortion: posted rents, cooperative rents, the hostel’s doubling up, the rule against bidding over a brother’s bid.
“Getting the prices right” is the core of economic policy advice. Right for whom? Hold the question until Stage 2.
Lecture 5 · Efficient for Whom? · Part 1
How is the right price found? False trades
1 · THE ARGUMENT AT FULL STRENGTH
8
Walras and Edgeworth both saw this, and proposed two ways out:
Forbid real trade
until the price is found: Walras’s written pledges (1900).
Allow every agreement to be undone
Edgeworth’s recontracting (1881). Lecture 4’s price wars took this way.
A plausibility argument, not a proof. How markets reach equilibrium has never been satisfactorily explained (Hicks, 1939; Arrow, 1959; Fisher, 1983).
Lecture 5 · Efficient for Whom? · Part 1
The same problem divided economists over socialism
1 · THE ARGUMENT AT FULL STRENGTH
9
Lange (1936)
A planning board could find the right prices by trial and error, playing Walras’s auctioneer. Concedes: the market needs an auctioneer who forbids trade before equilibrium. No real market has one.
Hayek (1945)
Only real trading, by people using what they alone know, can discover prices. Concedes: real trades happen at wrong prices, so the market is never at the equilibrium where the efficiency theorem applies.
Historical background
The textbook defends markets with an equilibrium theorem. The markets’ greatest defender held that real markets are never in equilibrium.
So the right price needs something no real market has: an auctioneer before any trade, or agreements that never bind.
Lecture 5 · Efficient for Whom? · Part 1
Mankiw makes this argument, half aloud
1 · THE ARGUMENT AT FULL STRENGTH
10
Part of the argument | In Mankiw, chapter 7 |
The price cancels | Explicit: the middle terms cancel (p. 145) |
Benefit premise | Willingness to pay measures the good’s value to the buyer (p. 136). That no one else is affected appears only in a closing caveat (p. 150). |
Cost premise | Opportunity cost, including the value sellers place on their own time (p. 141). The same closing caveat applies. |
Money premise | Never stated. Total surplus is called the “natural” measure (p. 145), and equality is set aside. |
The arithmetic is said aloud; the moral premises are not.
Lecture 5 · Efficient for Whom? · Part 1
Why it isn’t said aloud
1 · THE ARGUMENT AT FULL STRENGTH
11
Economists were trained to believe that only factual claims can be studied scientifically; evaluative claims lie beyond science (Hausman and McPherson, ch. 1).
So moral premises arrive disguised as definitions, “natural” choices or caveats, and never get examined.
One word then carries the verdict: efficient. In ordinary speech it means without waste, and it is praise.
Robert Nelson, Economics as Religion (2001): efficiency is the sacred value of economics; “transitional” unemployment is accepted on the path to it. B and C were our transitional casualties.
The remedy: economists must learn to reason about norms (Hausman and McPherson). Mathematics was once outside their skill set too, and the profession retooled (Weston, 1994).
If the three premises were stated plainly on the first page of chapter 7, would you accept them?
Lecture 5 · Efficient for Whom? · Part 1
Most trades or most surplus? Testing the premises
STAGE 2 · SLIDES 10–23
The social accounting behind the verdict, the three premises it rests on, and why each one fails.
Most trades or most surplus?
2 · TESTING THE PREMISES
13
| Price wars | Cross-matching |
Deals made | 3 | 6: every possible voluntary deal |
Students housed | D, E and F | All six |
Rooms let | P, Q and R | All six |
Social welfare, by the textbook’s measure (total surplus) | 1,050 | 300 |
What it maximises | Surplus | The number of deals |
The textbook chooses the most surplus. Which would you choose, and what would you need to count to decide?
Lecture 5 · Efficient for Whom? · Part 1
The textbook’s social accounting
2 · TESTING THE PREMISES
14
The textbook claims to measure social welfare. Its accounting of cross-matching, compared with the price wars:
Social benefits
600
A, B and C are housed. Valued by their budgets: 100 + 200 + 300.
Social costs
1,350
S, T and U let their rooms. Valued by their minimums: 350 + 450 + 550.
Net
−750
Social costs are much larger than social benefits: by this measure, cross-matching leaves society 750 worse off.
This accounting rests on three premises.
Lecture 5 · Efficient for Whom? · Part 1
Three premises, three questions
2 · TESTING THE PREMISES
15
Premise (from slide 2) | The question for our town |
Benefit: a budget measures the whole social benefit | Are budgets of 100, 200 and 300 the whole social benefit of housing A, B and C? |
Cost: an asking price measures the whole social cost | Are minimums of 350, 450 and 550 the social cost of letting the rooms of S, T and U? |
Money: a lira counts the same in anyone’s hands | Does a lira count the same to A as to F? |
If any premise fails, the accounting fails with it.
Lecture 5 · Efficient for Whom? · Part 1
Test 1: Three numbers the textbook treats as one
2 · TESTING THE PREMISES · TEST 1: BENEFITS
16
| What it measures | For A, B and C |
Ability to pay | What the student has | 100, 200 and 300: 600 in all |
Private value | What the room, and the education it makes possible, means to the student: a degree, a profession, a lifetime’s earnings | Far more than 600 |
Social value | What the town gains as well: teachers and doctors, and families whose prospects change | More still |
Ability to pay → private value
The gap is a credit constraint: no one lends to a student against his future salary.
Private value → social value
The gap is an external benefit: it falls on people who never enter the rental market.
The textbook uses one number for all three: it calls a budget “willingness to pay,” says this measures how much the buyer values the good (Mankiw, p. 136), and adds it up as social benefit.
Board: for C, put a number on each of the three: what he can pay, what the room means to him, and what it means to the town.
C is willing to pay far more than 300. He is able to pay only 300.
Lecture 5 · Efficient for Whom? · Part 1
Welfare, desire, choice
2 · TESTING THE PREMISES · TEST 1: BENEFITS
17
| What it is | Observable? |
Welfare | What is good for a person: health, knowledge, family, faith | Partly: health, nutrition, shelter and education can be observed |
Utility, or desire | What a person wants. Bentham thought pleasure could be measured; Edgeworth imagined a “hedonimeter” (1881) | No |
Choice | What a person actually picks | Yes |
Positivism admitted only what can be observed. So economics redefined desire as whatever is chosen (Samuelson’s revealed preference, 1938), and welfare as getting what one desires.
Lecture 5 · Efficient for Whom? · Part 1
Revealed preference: two assumptions that fail
2 · TESTING THE PREMISES · TEST 1: BENEFITS
18
Revealed preference needs two assumptions
Both fail
The parallel with slide 13
Social value, private value and ability to pay collapse into “willingness to pay.” Welfare, desire and choice collapse into “revealed preference.” In each case the one observable number takes the place of the others.
Hausman and McPherson (2006), chapter 8; Zaman, “The Normative Foundations of Scarcity” (2012).
Lecture 5 · Efficient for Whom? · Part 1
Test 2: Three numbers for the owners
2 · TESTING THE PREMISES · TEST 2: COSTS
19
| What it measures | For S, T and U |
Asking price | What the owner insists on receiving: in our model, his minimum | 350, 450 and 550: 1,350 in all |
Private cost | What letting the room costs the owner himself: the rent he could have had from someone else | With rooms standing empty, nothing. Where students are plentiful, the going rent |
Social cost | What the town uses up when the room is occupied | Close to zero: some cleaning and wear |
Asking price → private cost
The gap is holding out for more than one could get.
Private cost → social cost
The gap is the rent.
The textbook uses one number for all three, and calls the minimum a “cost.” Mankiw’s painter has a real cost: her time is used up (p. 141). S uses up nothing: the room is already built.
Board: for S, put a number on each of the three.
Lecture 5 · Efficient for Whom? · Part 1
Rent: the gap between private and social cost
2 · TESTING THE PREMISES · TEST 2: COSTS
20
“Corn is not high because a rent is paid, but a rent is paid because corn is high.” Ricardo (1817)
Smith
Landlords “love to reap where they never sowed.”
Mill
Rising land values are an “unearned increment.”
Henry George (1879)
Tax rent away: the community created it.
Where rent is large, prices diverge from social costs and can no longer guide efficient choices. That is why the rentier worried the classical economists.
Lecture 5 · Efficient for Whom? · Part 1
What the gap does to students
2 · TESTING THE PREMISES · TEST 2: COSTS
21
To a student
The rent is a real private cost: it is what he must pay.
To the town
Housing him costs almost nothing: the room is there, and empty.
So a student who cannot pay the rent goes home, though housing him would cost the town almost nothing.
The textbook’s 1,350 is a sum of asking prices. It measures neither the owners’ private costs, which are nothing while rooms stand empty, nor the social cost, which is close to zero.
What do S, T and U actually give up when their empty rooms are let?
Lecture 5 · Efficient for Whom? · Part 1
Test 3: Whose lira?
2 · TESTING THE PREMISES · TEST 3: WHOSE LIRA?
22
A
A’s scholarship barely covers food. 100 lira buys her a week’s food.
F
F lives comfortably. 100 lira buys him a dinner out.
The textbook adds F’s gains and A’s gains as if each lira did the same good.
The textbook’s 1,050 (price wars)
Cross-matching
Spreads its gains: every student and every owner gains something, including the three poorest.
If you had 100 lira to give away, would it matter as much to A as to F?
Lecture 5 · Efficient for Whom? · Part 1
What economists once knew
2 · TESTING THE PREMISES · TEST 3: WHOSE LIRA?
23
Before the 1930s, economics was organised around material welfare: food, health, shelter, the capacity to work (Marshall, Pigou).
Diminishing marginal utility: the first units of consumption bring far more benefit than the last. Bread matters more than luxuries.
So a lira does more good in a poor man’s hands than in a rich man’s.
Pigou, The Economics of Welfare (1920): other things equal, a transfer of income from rich to poor increases total welfare.
Taxing a rich man’s luxuries to buy bread for the poor was a welfare improvement, and economists said so.
Lecture 5 · Efficient for Whom? · Part 1
How it was removed, and why the reason fails
2 · TESTING THE PREMISES · TEST 3: WHOSE LIRA?
24
How it was removed
Why the reason fails
So the money premise was a choice, not a requirement of science.
Lecture 5 · Efficient for Whom? · Part 1
The verdict reversed
2 · TESTING THE PREMISES
25
Cross-matching against the price wars | The textbook’s accounting | Counting what it leaves out |
Benefit of housing A, B and C | 600: what they can pay | Private value far more; social value more still: three degrees, and the town’s teachers and doctors |
Cost of letting the rooms of S, T and U | 1,350: what the owners ask | Close to zero: the rooms are already built; the gap is rent |
Whose lira | All count the same | Gains to the poorest students count for more |
Net | Social costs exceed social benefits by 750 | Social benefits far exceed social costs |
Counted socially, the most deals beats the most surplus.
Lecture 5 · Efficient for Whom? · Part 1
What the verdict teaches
2 · TESTING THE PREMISES
26
Counted socially, the most deals beats the most surplus. The town should house all six.
The textbook’s accounting measures what students can pay and what owners ask, and nothing else.
“Getting the prices right” gets private values right, not social ones. This answers the question held over from slide 5.
The efficiency result holds only where private and social values coincide. For education, housing and health, they diverge systematically.
Next: how the market moves a town from cross-matching to the price wars, and what can stop it.
Lecture 5 · Efficient for Whom? · Part 1
How the equilibrium does harm, and why the theory cannot see it
STAGE 3 · SLIDES 24–32
Arbitrage, the brother’s-bid rule, sharing, the bonds lost and built, and two conceptions of society.
In our town, arbitrage does harm
3 · HOW THE EQUILIBRIUM DOES HARM
28
Under cross-matching
A
pays 75 to
P
F
pays 575 to
U
F and P strike a deal:
A goes home, and U’s room stands empty.
The different rents were not waste. They were the price structure that housed everyone.
Lecture 5 · Efficient for Whom? · Part 1
The rule that forbids this arbitrage
3 · HOW THE EQUILIBRIUM DOES HARM
29
Do not bid over your brother’s bid. Agreements are to be fulfilled (Qur’an 5:1).
Lecture 4’s Islamic norms, read now as economics.
The two societies of lecture 4 differ because they treat this one move differently.
Lecture 5 · Efficient for Whom? · Part 1
The realistic case: scarce rooms and pure rent
3 · HOW THE EQUILIBRIUM DOES HARM
30
Four rooms
Housed
C
D
E
F
Go home
A
B
Is there no way to house more than four students in four rooms?
Lecture 5 · Efficient for Whom? · Part 1
The dilemma inside our market: compete or share
3 · HOW THE EQUILIBRIUM DOES HARM
31
A rents a room at 100. F arrives, and has two choices:
| A | F | Landlord |
F outbids, offering 150 for the room alone | Homeless | Housed, pays 150 | 150 |
F proposes sharing, each paying 75 | Housed, pays 75 | Housed, pays 75 | 150 |
A Prisoner’s Dilemma
This answers slide 26’s question: four rooms can house more than four students.
Lecture 5 · Efficient for Whom? · Part 1
What the price war costs that no ledger records
3 · HOW THE EQUILIBRIUM DOES HARM
32
Muslim; Nawawi’s Forty, no. 35
“Do not envy one another, do not inflate prices against one another, do not hate one another, do not turn away from one another, and do not undercut one another’s sales, but be, O servants of Allah, brothers.”
The theory has no place for these losses: its society has no bonds to lose. Yet friends share a room more easily than strangers.
Lecture 5 · Efficient for Whom? · Part 1
Building bonds
3 · HOW THE EQUILIBRIUM DOES HARM
33
Muslim
“You will not believe until you love one another. Shall I tell you something which, if you do it, you will love one another? Spread salām among you.”
Tirmidhī
“Your smile in the face of your brother is charity.”
al-Bukhārī, al-Adab al-Mufrad
“Give gifts to one another, and you will love one another.”
al-Bukhārī, al-Adab al-Mufrad
“He is not a believer who eats his fill while his neighbour goes hungry.” Spending on kin, orphans, the needy and travellers is righteousness (2:177).
The institutions of a society reflect its spirit. The market’s exchange leaves people quits; Islam’s everyday practices leave people bound to one another.
Lecture 5 · Efficient for Whom? · Part 1
Organising society without God
3 · HOW THE EQUILIBRIUM DOES HARM
34
After Europe’s wars of religion, religion was set aside as the basis for organising society. Political theory and economics arose to organise society without God, judgment day or the hereafter.
The old conception
Society as one body: shared goals, different parts serving different functions.
The new conception
A collection of individuals with no common goals, who agree to live under common rules: the social contract.
Lecture 5 · Efficient for Whom? · Part 1
The brotherhood
3 · HOW THE EQUILIBRIUM DOES HARM
35
Qur’an 49:10
“The believers are but brothers.”
Qur’an 5:2
“Cooperate in righteousness and piety; do not cooperate in sin and aggression.”
Bukhārī, Muslim
The believers, in their love, mercy and compassion, are like one body: when one part aches, the whole body responds with sleeplessness and fever.
Society is one body with shared goals. Cooperation is the operating norm.
Lecture 5 · Efficient for Whom? · Part 1
Two conceptions of society: the root of the difference
3 · HOW THE EQUILIBRIUM DOES HARM
36
| The jungle | The brotherhood |
Society is | Individuals with private goals, under common rules | One body, with shared goals and different functions |
The operating norm | Competition | Cooperation |
Everyday institutions | Exchange that leaves people quits | Salām, gifts, visiting the sick, feeding the neighbour |
Another person’s agreement | An arbitrage opportunity | A brother’s bid, not to be bid over |
A student who cannot pay | Goes home; his loss counts as zero | A seeker of knowledge, and the community’s obligation |
Our town | Price wars: three housed | Cross-matching and sharing: all housed |
The efficiency verdict is not a finding about markets. It follows from the conception of society built into the theory.
Lecture 5 · Efficient for Whom? · Part 1
Wrap-up
STAGE 4 · SLIDES 33–35
Why social costs disappear in a society of individuals, and the doctrine that says nothing is lost.
Why social costs disappear in the jungle
4 · WRAP-UP
38
Social benefits and costs are those that fall on no single trader: on the town, on those left out, on the relationship itself.
In the jungle, society is nothing but individuals. Every benefit and cost must belong to some trader.
So whatever belongs to no trader has nowhere to be recorded. It disappears from the accounts, and then from view.
In the brotherhood, society is one body, so these things have a place: the community’s ledger.
Lecture 5 · Efficient for Whom? · Part 1
What disappears from view
4 · WRAP-UP
39
In our town | What the jungle counts | What disappears |
C goes home | His budget, unspent: no loss | His education, and the town’s teacher or doctor |
F lures P away from A | Gains to F and P | A’s loss, the broken agreement, and trust |
S lets his empty room | His asking price, as a cost | The fact that the town gives up nothing |
F outbids B | A higher rent | B’s resentment, the bond between students, and the option to share |
A pays rent from her scholarship | A lira like any other | A’s need |
Each of these falls on no single trader: on the town, on outsiders, or on the relationship. So each disappears.
Lecture 5 · Efficient for Whom? · Part 1
The invisible hand: the jungle’s theorem
4 · WRAP-UP
40
The invisible hand: when each person strives for his own benefit, the result is the greatest benefit to society. Private and social are the same.
If that were true, the last column of slide 34 would be empty: there would be nothing left over to count.
That is why economists do not see the issues we have raised: their central doctrine says there is nothing there to see.
Mankiw states the assumption as a caveat: his analysis “assumed that the outcome in a market matters only to the buyers and sellers who participate” (p. 150).
Part 2: the invisible hand, examined claim by claim.
Lecture 5 · Efficient for Whom? · Part 1