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Equity in the Distribution of Income

IB EconomicsSL & HLFree revision notes

Contents: 13 sections

Equity versus equality

Most people accept that some inequality is equitable: rewarding longer training, greater effort or higher risk is widely regarded as fair, and complete equality would remove the incentive to do any of those things. Equity is therefore a normative judgement, and reasonable people disagree about where the line falls. Saying this explicitly is a mark of a sophisticated answer.

Income versus wealth

Wealth is almost always distributed far more unequally than income, and the two reinforce each other: wealth generates income, which can be saved to accumulate further wealth. That feedback loop is why inequality can persist and widen across generations.

Measuring inequality

Two Lorenz curves plotted against the line of perfect equality, with cumulative shares of income and of households on the axes. The further a curve bows away from that diagonal, the more unequally income is spread.
Two Lorenz curves plotted against the line of perfect equality, with cumulative shares of income and of households on the axes. The further a curve bows away from that diagonal, the more unequally income is spread.OpenStax, Principles of Economics 3e, CC BY 4.0, section 15.4

The Lorenz curve

A graph plotting the cumulative percentage of income received against the cumulative percentage of the population, ranked from poorest to richest.

Diagram walkthrough · 2 minBuilding a Lorenz curve axis by axisJason WelkerThe setup done properly, which is where most Lorenz curve marks are lost. Cumulative percentage of total income goes on the vertical axis, cumulative percentage of population in quintiles on the horizontal, and both run 0 to 100 in fifths, which is why the diagram is a square. The assumption underneath is that a nation's whole income is shared by its whole population, so every Lorenz curve must pass through the top right corner where 100% of people have 100% of income.

Reading a point off the curve is a standard data-response task, and the wording matters. A point at (40, 12) means the poorest 40% of households receive 12% of total income. Everything is cumulative and ranked poorest-first, so the reading is always "the bottom x per cent receive y per cent".

Note a limitation that follows directly from the geometry: two Lorenz curves that cross cannot be ranked unambiguously. One country may be more unequal at the bottom and the other at the top, and a single comparison cannot capture that.

The Gini coefficient

A single number derived from the Lorenz curve:

Gini = area between the 45° line and the Lorenz curve ÷ total area under the 45° line

It runs from 0 (perfect equality) to 1 (perfect inequality, where one person receives everything). Higher Gini means more unequal.

Its limitations, which make good evaluation:

Progressive, proportional and regressive taxation

The tax system is the main instrument for changing the distribution, and the three types are distinguished by what happens to the average rate as income rises, not by the amount paid.

TypeAverage rate as income risesEffect on inequality
ProgressiveRisesReduces it
ProportionalConstantLeaves it unchanged
RegressiveFallsIncreases it

Worked comparison. A country levies a 10% sales tax. Household A earns \$20,000 and spends \$18,000 of it; Household B earns \$100,000 and spends \$50,000.

A pays 10% × \$18,000 = \$1,800, which is 9% of its income.
B pays 10% × \$50,000 = \$5,000, which is 5% of its income.

B pays nearly three times as much in absolute terms, yet the tax takes a smaller share of its income. The average rate falls as income rises, so the sales tax is regressive, even though the rate is identical for everyone. The mechanism is that poorer households must spend a larger proportion of their income, so a tax on spending reaches more of it.

This is why indirect taxes tend to worsen the distribution while direct income taxes can improve it, and why a question about VAT or excise duties is usually asking about equity.

Measuring poverty

A country can reduce absolute poverty through growth while relative poverty is unchanged or worsens, a distinction data-response questions test frequently.

Multidimensional measures go further, counting deprivation in health, education and living standards alongside income, on the argument that poverty is not only a shortage of money. They matter because a household just above an income line may still lack clean water, schooling or electricity.

Causes of inequality

The poverty cycle

These causes compound into a self-reinforcing trap, and naming the mechanism is worth more than listing causes:

  1. Low income
  2. low saving
  3. little investment in education, health or capital
  4. low productivity
  5. low income again.

The cycle operates at both household and national level, and it is the central argument for intervention: a market left alone does not break it, because the households who would benefit most from investing in themselves are precisely those who cannot afford to.

A related trap operates through the benefit system. If benefits are withdrawn steeply as earnings rise, a household can face a very high effective marginal tax rate, keeping little of each extra pound earned. That is the poverty trap, and it is a genuine efficiency argument against badly designed transfers, distinct from the general incentive objection.

Consequences

The strongest of these for an economics answer is the efficiency one. Inequality is usually argued about as a fairness question, but wasted talent and under-investment in human capital reduce an economy's productive capacity, so reducing inequality can raise growth rather than trade off against it.

Policies to reduce inequality and poverty

PolicyMechanismLimitation
Progressive income taxHigher earners pay a higher average rate, narrowing post-tax differencesMay reduce work and investment incentives; avoidance and evasion
Transfer paymentsBenefits, pensions, child support raise the incomes of the poorestCost; possible disincentive if withdrawal rates are steep
Minimum wageRaises the wage floorMay cause unemployment if set well above equilibrium; helps only those in work
State provision of education and healthcareRaises human capital and equalises opportunityExpensive; effects take a generation
Wealth, inheritance and capital gains taxesAddress the stock, not just the flowHard to value and easy to relocate
Progressive infrastructure and regional policyReduces geographic disadvantageSlow, and expensive

The central trade-off is between equity and efficiency: redistribution may blunt incentives to work, save and take risks. How large that effect really is remains empirically contested, and saying so, rather than asserting a large disincentive, is the more defensible position.

Note also that some policies do both: education spending raises equity and long-run productive capacity, so it is not simply a transfer.

Real-world examples

Worked example

A country's Gini coefficient is 0.48 before taxes and transfers, and 0.33 after.

The fall from 0.48 to 0.33 shows that the tax and benefit system substantially reduces measured inequality: progressive taxation takes proportionately more from higher earners, while transfers raise the incomes of the poorest.

On the Lorenz curve, the post-tax curve lies closer to the 45° line than the pre-tax curve.

Evaluation. The remaining 0.33 still represents significant inequality. The figures say nothing about wealth, which is more unequally held, so total inequality is understated. Nor do they reveal where the inequality sits, whether the gap is between the middle and the top, or between the bottom and everyone else, which matters enormously for choosing a policy. And the redistribution has a cost: it must be funded, and may affect incentives, though the size of that effect is disputed.

A further point often missed. A Gini that falls after redistribution says the system is redistributive; it does not say whether it is redistributive enough, because that is a normative question about equity rather than a measurement question about equality. Recognising which of the two a question is asking is often the difference between an answer that analyses and one that judges.

Common exam mistakes

Exam technique

Draw the Lorenz curve with both axes as cumulative percentages, the 45° line, and the actual curve bowing below it. If comparing before and after redistribution. Draw two curves and state which lies closer to the line.

Define equity as a normative concept early, it signals that you understand this topic involves value judgements as well as analysis.

When a tax is described, work out the average rate at two income levels before classifying it. That calculation settles progressive, proportional or regressive in one line, and it is what the question is testing.

For evaluation: the equity–efficiency trade-off, the limitations of the Gini coefficient, the distinction between absolute and relative poverty, whether policies address income or wealth, and the time frame (education is slow but durable; transfers are fast but do not change underlying causes).

Quick revision

Check you have it

Cross-board concept practice · originally a CIE 9708 question, used here because the concept is the same. It is not IB Economics past-paper material.

Question 1

Which government policy has greater equality as one of its consequences?

Cross-board concept practice · originally a CIE 9708 question, used here because the concept is the same. It is not IB Economics past-paper material.

Question 2

What is likely to move an economy’s aggregate demand curve to the right?

Cross-board concept practice · originally a CIE 9708 question, used here because the concept is the same. It is not IB Economics past-paper material.

Question 3

Which policy is likely to be the least effective means of producing a more equal distribution of income amongst households?

More questions on equity in the distribution of income →
What the syllabus asks for on this topicSyllabus points

Syllabus points

  • Distinguish equity from equality.
  • Explain how income and wealth inequality are measured (Lorenz curve, Gini coefficient).
  • Distinguish progressive, proportional and regressive taxation.
  • Explain the causes and consequences of inequality and poverty.
  • Evaluate policies to reduce inequality and poverty.

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