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Write me a convincing argument that the Herfindahl-Hirschman Index (HHI) is a “reasonable” or “good” measure...

Write me a convincing argument that the Herfindahl-Hirschman Index (HHI) is a “reasonable” or “good” measure of inequality of the distribution of resources. To make your argument, you can use little numerical examples, or you can discuss the algebraic or geometric properties and behavior of HHI. Why does an increase in the sum of squared resource shares indicate an increase in inequality?

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