The Gini ratio and Lorenz curve.

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Chapter 21, Problem 3DQ

To determine

The Gini ratio and Lorenz curve.

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A5. Suppose that the initial rural distribution of income is (1, 2, 3, 4) while the initial urban distribution is (3, 4). The poverty line is 2, so the overall poverty rate (headcount index) is 1/3. Now imagine that all of the rural poor move to urban areas and each of them gains 20% in real income. Verify that the overall poverty rate falls to 1/6, yet the urban poverty rate rises from zero to 1/4.

. Consider two communities. In one community,ten families have incomes of $100,000 each and tenfamilies have incomes of $20,000 each. In the othercommunity, ten families have incomes of $250,000each and ten families have incomes of $25,000 each.a. In which community is the distribution of incomemore unequal? In which community is theproblem of poverty likely to be worse?b. Which distribution of income would Rawls prefer?Explain.c. Which distribution of income do you prefer?Explain.d. Why might someone have the oppositepreference?

If there are two communities, one with ten families have incomes of $100,000 each and ten families have incomes of $20,000 each. In the other community, ten families have incomes of $250,000 each and ten families have incomes of $25,000 each. Which community is the distribution of income more unequal? In which community is the problem of poverty likely to be worse?Which distribution of income would Rawls prefer? Explain.Which distribution of income do you prefer? Explain.Why might someone have the opposite preference?