Evaluating Inequality with Crossing Distribution Curves
Imagine two countries, Country X and Country Y, are being compared for income inequality. When their income distributions are plotted on a graph with a 45-degree line representing perfect equality, their distribution curves cross. The total area between the 45-degree line and each country's curve is calculated to be identical. Consequently, both countries have the same Gini coefficient. Critically evaluate the conclusion that 'income inequality is identical in both countries.' In your response, explain what the crossing curves reveal about the nature of inequality in each country that the single numerical coefficient does not.
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Introduction to Macroeconomics Course
Ch.2 Unemployment, wages, and inequality: Supply-side policies and institutions - The Economy 2.0 Macroeconomics @ CORE Econ
The Economy 2.0 Macroeconomics @ CORE Econ
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Gini Coefficient Formula (Based on Lorenz Curve Areas)
Figure 2.4b: Gini Coefficients from Various Lorenz Curves
Figure E2.1: Calculating the Gini Coefficient from a Lorenz Curve Diagram
Causal Link Between Lorenz Curve Area and Gini Coefficient
An economist is comparing income distribution in two countries. A graph shows a 45-degree line representing perfect equality. Country A's income distribution is represented by a curve that bows significantly away from this 45-degree line, creating a large area between the curve and the line. Country B's income distribution is represented by a curve that lies much closer to the 45-degree line, creating a very small area between its curve and the line. Based on this information, what can be concluded about the Gini coefficients of the two countries?
Analyzing Policy Impact on Income Inequality
If a new government policy causes the area between the 45-degree line of perfect equality and a country's Lorenz curve to become smaller, this indicates that the country's Gini coefficient has increased.
Calculating Inequality from a Distribution Graph
Evaluating Inequality with Crossing Distribution Curves
Figure 2.4a: The Lorenz Curve and Gini Coefficient for Wealth Ownership