Comparing Income Inequality in Two Economies
Analyze the income distributions of the two hypothetical economies described below. For each economy, calculate the Gini coefficient by first determining the area under its Lorenz curve. Based on your calculations, which economy exhibits greater income inequality? Justify your answer by comparing the two coefficients.
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Consider an economy represented by a Lorenz curve on a standard 1x1 graph where the x-axis is the cumulative percentage of the population and the y-axis is the cumulative percentage of income. The curve consists of a straight line from the origin (0,0) to the point (0.8, 0.4), and then another straight line from (0.8, 0.4) to the point (1,1). The line of perfect equality is the diagonal from (0,0) to (1,1). Based on this information, what is the Gini coefficient for this economy?
Calculating the Gini Coefficient for a Simple Economy
Consider a small economy where the poorest 80% of the population earns 20% of the total income, and the richest 20% earns the remaining 80%. Assuming the income distribution is represented by a Lorenz curve composed of straight-line segments connecting the origin (0,0), the point representing the poorest group's income share, and the point of perfect equality (1,1), what is the Gini coefficient for this economy?
Consider an economy where the income distribution is represented by a Lorenz curve on a standard 1x1 graph, where the x-axis is the cumulative percentage of the population and the y-axis is the cumulative percentage of income. The curve consists of a straight line from the origin (0,0) to the point (0.5, 0.2), and then another straight line from (0.5, 0.2) to the point (1,1). The line of perfect equality is the diagonal from (0,0) to (1,1). Based on this information, what is the Gini coefficient for this economy?
Evaluating a Policy's Impact on Income Inequality
Comparing Income Inequality in Two Economies
Consider an economy represented by a Lorenz curve on a standard 1x1 graph, where the x-axis is the cumulative share of people from lowest to highest incomes, and the y-axis is the cumulative share of income earned. The curve is formed by two straight line segments: one from the origin (0,0) to the point (0.6, 0.3), and a second from (0.6, 0.3) to the point (1,1). What is the area of the region between the line of perfect equality and this Lorenz curve?
Consider a society where the income distribution is represented by a Lorenz curve on a standard 1x1 graph, where the x-axis represents the cumulative share of people from lowest to highest incomes, and the y-axis represents the cumulative share of income earned. The curve is formed by two straight line segments: one from the origin (0,0) to the point (0.9, 0.5), and a second from (0.9, 0.5) to the point (1,1). What is the Gini coefficient for this society?
Consider an economy where the income distribution is represented by a Lorenz curve composed of two straight-line segments originating from (0,0) and terminating at (1,1). If the Gini coefficient for this economy is 0.3, it is true that the poorest 50% of the population earns 35% of the total income.