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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

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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.

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The question lecture 4 left

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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

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The economist’s world

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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.

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Two outcomes: which is better?

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​

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?

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In that world, arbitrage is the engine of welfare

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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.

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“Getting the prices right”

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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.

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How is the right price found? False trades

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  • The right rent depends on every student’s budget and every owner’s minimum. That knowledge is scattered; no one holds all of it.
  • People reveal their numbers only by dealing, or refusing to deal, at some rent. So some trades happen at wrong prices: false trades.
  • Once false trades are final, they change who holds what, and that moves the right price itself. The market may never reach it.

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).

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The same problem divided economists over socialism

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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

  • Soviet planners set prices centrally, mostly from costs, and changed them rarely. Goods were allocated by plan.
  • Prices that ignored scarcity brought chronic shortages and queues (Kornai, 1980).
  • Lange’s ideas shaped reform elsewhere (Hungary, 1968). In 1967 he suggested computers could do the auctioneer’s work.

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

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Mankiw makes this argument, half aloud

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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.

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Why it isn’t said aloud

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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

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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.

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Most trades or most surplus?

2 · TESTING THE PREMISES

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​

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

  • With one price for everyone, no rent can house more than three. So the most deals and the most surplus coincide, and the textbook never has to choose.
  • Drop the single price, and the two come apart: cross-matching makes six deals at six different rents.

The textbook chooses the most surplus. Which would you choose, and what would you need to count to decide?

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The textbook’s social accounting

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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.

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Three premises, three questions

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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.

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Test 1: Three numbers the textbook treats as one

2 · TESTING THE PREMISES · TEST 1: BENEFITS

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​

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.

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Welfare, desire, choice

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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.

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Revealed preference: two assumptions that fail

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Revealed preference needs two assumptions

  • People always choose what they most desire.
  • What they desire is always good for them.

Both fail

  • Spinach is good for me, I want ice cream, and I eat the spinach to please my mother (Zaman, 2012).
  • Mankiw himself exempts the heroin addict (p. 140).

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).

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Test 2: Three numbers for the owners

2 · TESTING THE PREMISES · TEST 2: COSTS

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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

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Rent: the gap between private and social cost

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“Corn is not high because a rent is paid, but a rent is paid because corn is high.” Ricardo (1817)

  • Rent is income received for no service rendered: the room already exists, and the owner provides nothing new by letting it. Rent follows demand; it is not a cost of supply.
  • Near a university, rooms are dear because the university brings students, not because rooms cost more to provide.

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.

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What the gap does to students

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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?

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Test 3: Whose lira?

2 · TESTING THE PREMISES · TEST 3: WHOSE LIRA?

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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)

  • F alone keeps 290.
  • The owners take 530.
  • A, B and C get nothing.

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?

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What economists once knew

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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.

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How it was removed, and why the reason fails

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How it was removed

  • Robbins (1932): comparing welfare between persons is unscientific, because one person’s satisfaction cannot be observed and set against another’s.
  • Economics was redefined as the science of scarcity, and the case for redistribution dropped out of the textbook.

Why the reason fails

  • Cooter and Rappoport (1984): the earlier economists used observable markers: health, nutrition, shelter, capacity to work.
  • Measured today: life expectancy, child mortality, literacy, Mahbub ul Haq’s Human Development Index, Sen’s capabilities.
  • In our town, whether A eats and whether C finishes his degree can both be observed.

So the money premise was a choice, not a requirement of science.

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The verdict reversed

2 · TESTING THE PREMISES

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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.

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What the verdict teaches

2 · TESTING THE PREMISES

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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

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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.

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In our town, arbitrage does harm

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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.

  • F and P can deal at any rent between 75 and 575, and both gain. On the textbook’s accounting, social welfare rises by 450.
  • A goes home without her education. U’s room, which costs the town almost nothing to let, stands empty.
  • The economist’s engine of welfare becomes an engine of harm once private and social values diverge.

The different rents were not waste. They were the price structure that housed everyone.

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The rule that forbids this arbitrage

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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.

  • Read as economics, the rule forbids exactly the move that makes the market “efficient”: luring a party away from an agreement already made.
  • It holds in place the different rents that house everyone.
  • The price war is what you get when that move is allowed; cross-matching is what you get when it is forbidden.

The two societies of lecture 4 differ because they treat this one move differently.

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The realistic case: scarce rooms and pure rent

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Four rooms

Housed

C

D

E

F

Go home

A

B

  • Four rooms for six students. Letting a room costs the town almost nothing, and no owner will leave a room empty.
  • The rent settles where exactly four students can pay: above 200 and at most 300.
  • At a rent of 250, the owners collect 1,000: pure rent, for rooms that cost the town almost nothing to let.
  • The rooms go to the four who can pay most, not to those with the highest private value, nor to those the town most needs educated.

Is there no way to house more than four students in four rooms?

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The dilemma inside our market: compete or share

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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

  • The landlord receives 150 either way. Sharing houses both students, and both pay less.
  • Against this stands the cost of sharing: lost space and privacy.
  • The textbook cannot see this option: it defines the good as one room per person. Chapter 3’s hostel doubled up; in lecture 4, G joined A.

A Prisoner’s Dilemma

  • Both share: both housed, cheaply.
  • Both compete: rent climbs; one goes home.
  • Each is tempted to compete. The landlord gains from their rivalry.

This answers slide 26’s question: four rooms can house more than four students.

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What the price war costs that no ledger records

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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.”

  • In our market: B’s resentment toward F, a fellow student; P’s broken word to B; the lesson that the person beside you is a rival.
  • In Britain, Fractured Families (Centre for Social Justice, 2013) documents the cost of family breakdown.
  • Benjamin Nelson (1949): from tribal brotherhood to universal otherhood. Graeber (2011): market exchange leaves the parties “quits,” so that the relationship can end.

The theory has no place for these losses: its society has no bonds to lose. Yet friends share a room more easily than strangers.

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Building bonds

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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.

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Organising society without God

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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.

  • Hobbes (1651): a state of nature that is a “war of every man against every man”: the jungle.
  • Thatcher (1987): “there is no such thing as society.” Methodological individualism, stated as politics.

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The brotherhood

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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.

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Two conceptions of society: the root of the difference

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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.

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Wrap-up

STAGE 4 · SLIDES 33–35

Why social costs disappear in a society of individuals, and the doctrine that says nothing is lost.

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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.

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What disappears from view

4 · WRAP-UP

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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.

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The invisible hand: the jungle’s theorem

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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