What are the ethical principles that we used in our measurement of inequality? Show that these principles

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What are the ethical principles that we used in our measurement of inequality? Show that these principles are exactly summarized in the concept of the Lorenz curve. Argue that if there are two income distributions for which the Lorenz curves do not cross, then the Gini coefficient and the coefficient of variation cannot disagree with each other when measuring the inequality of these two distributions.

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