In simple terms
A friendly intro before the formal notes — no formulas yet.
Equity and redistribution of income and wealth
9708 A Level — inequality, progressive tax, transfers, and equity vs efficiency with GeoGebra.
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Income is a flow of earnings; wealth is a stock of assets.
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Wealth inequality is typically much greater than income inequality.
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The Lorenz curve is a graphical representation of income/wealth distribution.
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The Gini coefficient is a numerical measure of inequality derived from the Lorenz curve.
Explore the concept
Use the live diagram, PhET or GeoGebra sim, and synced steps — play it, drag controls, or tap a step.
Step-synced diagram — highlights what to look for in the simulation above.
Equity vs equality
Equity vs equality — fair opportunity vs equal outcomes.
At a glance — side by side
Compare key properties side by side — ideal for exam contrasts.
Equity vs. Efficiency in Economic Policy
| Feature | Equity | Efficiency |
|---|---|---|
| Primary Goal | Fairness in the distribution of income, wealth, and opportunity. | Maximising output and welfare from scarce resources (allocative, productive, and dynamic). |
| Economic Question | How should the economic 'pie' be divided amongst the population? | How can the economic 'pie' be made as large as possible? |
| Key Policy Tools | Progressive taxes, transfer payments, benefits in kind, minimum wage. | Deregulation, privatisation, competition policy, supply-side policies to boost productivity. |
| Potential Conflict | High taxes to fund redistribution may disincentivise work and enterprise, reducing efficiency. | Policies to boost efficiency (e.g., cutting welfare benefits) may increase inequality and poverty. |
| Typical Measurement | Gini coefficient, Lorenz curve, poverty rates. | GDP growth rate, productivity growth, Pareto efficiency. |
Primary Goal
Equity
Efficiency
Economic Question
Equity
Efficiency
Key Policy Tools
Equity
Efficiency
Potential Conflict
Equity
Efficiency
Typical Measurement
Equity
Efficiency
Full topic notes
Formal explanation with the rigour you need for the exam.
Understanding Income and Wealth Inequality
Income refers to a flow of money received over a period, such as wages, salaries, and profits. Wealth, in contrast, is a stock of assets owned at a point in time, including property, shares, and savings. Inequality in the distribution of income and wealth is a significant economic issue. The primary tools for measuring this are the Lorenz curve and the Gini coefficient. The Lorenz curve graphically illustrates the distribution, showing the cumulative percentage of income held by the cumulative percentage of the population. A perfectly equal society would have a straight 45-degree line. The further the Lorenz curve bows away from this line, the greater the inequality. The Gini coefficient provides a numerical value for this inequality, ranging from 0 (perfect equality) to 1 (perfect inequality).
Income is a flow of earnings; wealth is a stock of assets.
Wealth inequality is typically much greater than income inequality.
The Lorenz curve is a graphical representation of income/wealth distribution.
The Gini coefficient is a numerical measure of inequality derived from the Lorenz curve.
The Concepts of Equity and Equality
It is crucial to distinguish between equity and equality. Equality means that everyone receives the same outcome or resources (e.g., everyone earns £30,000). Equity, however, means fairness. In economics, this often involves two principles. Horizontal equity suggests that individuals in identical circumstances should be treated identically by the tax and benefits system. Vertical equity, on the other hand, argues that it is fair for those with a greater ability to pay to contribute a larger proportion of their income in tax. Most government redistribution policies are based on the principle of vertical equity, aiming to create a fairer, not necessarily an equal, society by reducing the gap between the richest and poorest.
Equality refers to sameness of outcome.
Equity refers to fairness in outcome and opportunity.
Horizontal equity: treating equals equally.
Vertical equity: treating unequals unequally in a fair manner, justifying progressive taxation.
Redistribution through Progressive Taxation
Progressive taxation is a cornerstone of income redistribution policy. A tax system is progressive if the proportion of income paid in tax rises as income increases. This means higher earners not only pay more tax in absolute terms but also as a higher percentage of their income. For example, a country might have a 0% tax rate on the first £12,570, 20% on income up to £50,270, and higher rates thereafter. This system automatically takes a larger share from the wealthy, reducing post-tax income differentials. The revenue generated from these taxes can then be used to fund government spending, including transfer payments. The effect of a progressive tax system is to shift the post-tax Lorenz curve closer to the line of perfect equality, thereby lowering the Gini coefficient.
A progressive tax is one where the average rate of tax rises with income.
It is a key tool for achieving vertical equity.
Reduces post-tax income inequality and lowers the Gini coefficient.
Examples include income tax with tiered bands and inheritance tax.
In exams, you can illustrate the impact of redistribution by drawing two Lorenz curves on one diagram. Show the initial 'pre-tax' curve and then a second 'post-tax and benefits' curve that is closer to the 45-degree line of perfect equality. Label your axes and curves clearly to show you understand the effect of government policy.
Transfer Payments and Benefits in Kind
While taxation addresses the income of the wealthy, the government also supports the poor through direct spending. Transfer payments are payments made to individuals without any corresponding good or service being provided in return. These are not included in GDP as they are a transfer of existing income, not a creation of new income. Key examples include unemployment benefits (Jobseeker's Allowance), state pensions, and disability allowances. Additionally, governments provide benefits in kind, which are public services provided for free or at a subsidised rate. The most significant are state-funded education and healthcare. These services increase the real income of poorer households, as they do not have to pay for essential services, thereby improving their standard of living and reducing inequality.
Transfer payments are unilateral payments from the government to individuals (e.g., unemployment benefits).
Benefits in kind are government-provided services (e.g., NHS, state schools).
Both policies increase the disposable and real income of lower-income households.
They are a key part of the welfare state and aim to provide a 'safety net'.
The Equity-Efficiency Trade-Off
A central debate in this topic is the potential trade-off between equity and efficiency. Policies designed to redistribute income and create a more equitable society may have unintended consequences that reduce economic efficiency. For instance, high marginal rates of progressive income tax could create a disincentive to work harder, seek promotion, or take entrepreneurial risks, as a larger portion of any extra income is taken by the tax authorities. Similarly, generous unemployment benefits might reduce the incentive for the unemployed to actively seek work. This conflict is sometimes described using the 'leaky bucket' analogy: when transferring water (income) from one place to another, some inevitably leaks out due to administrative costs and these disincentive effects. The challenge for any government is to design policies that improve equity without significantly harming efficiency and long-term economic growth.
Policies to increase equity can sometimes reduce economic efficiency.
High progressive taxes may create disincentives to work and invest.
Generous welfare benefits may create a 'poverty trap' or disincentivise job seeking.
This trade-off is a key evaluative point when discussing government intervention.
Horizontal equity: same treatment for equals; vertical equity: higher earners pay more.
Lorenz curve: further from 45° line → higher Gini → more inequality.
Minimum wage: raises wages for low-paid but may cause unemployment if above equilibrium.
Evaluation: weigh equity gains against efficiency and incentive costs — context matters.
Worked examples
See the formulas applied — reveal one step at a time, like the exam.
Country X has a Gini coefficient of 0.42. The government proposes raising the top income tax rate from 40% to 50% and increasing unemployment benefits.
Analyse the likely effects on equity and efficiency. [10 marks]
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Equity effects:
- Progressive tax rise increases vertical equity — high earners contribute a larger share, narrowing post-tax income gap.
- Higher benefits raise disposable income for unemployed/low-income households — reduces poverty and likely lowers Gini.
An economist is analysing the progressive tax system in a country. An individual earns a gross annual income of $80,000. The income tax bands are as follows:
- Personal Allowance (0% tax): 15,000
- Basic Rate (20% tax): 50,000
- Higher Rate (40% tax): Above
Calculate: a) The total income tax paid by the individual. b) The individual's disposable income. c) The individual's average rate of tax.
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Step 1: Calculate tax for each band
- Personal Allowance band: The first $15,000 is taxed at 0%. Tax = 0
- Basic Rate band: Income between $15,001 and $50,000. The amount of income in this band is 15,000 = Tax = 7,000
- Higher Rate band: Income above $50,000. The amount of income in this band is $80,000 - 30,000. Tax = 12,000
How it all connects
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Glossary
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Quick check
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Revision flashcards
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Equity vs equality?
Equity = fairness (may allow unequal outcomes if deserved); equality = same outcomes — not always identical in policy debate.
Key takeaways
Review these before you close the topic — retrieval beats re-reading.
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Income is a flow of earnings; wealth is a stock of assets.
- ✓
Wealth inequality is typically much greater than income inequality.
- ✓
The Lorenz curve is a graphical representation of income/wealth distribution.
- ✓
The Gini coefficient is a numerical measure of inequality derived from the Lorenz curve.
Practice — then mark it
The whole point: a real Cambridge question, marked mark-by-mark.
9708/22 · Q1(d)
Using the concept of price elasticity of demand, assess the relative impact on poorer households, including those on fixed incomes, of rising prices of food and energy.
Extra simulations & links
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Frequently asked
Checkpoint
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