  The Gini index is a number that attempts to measure how equitably a resource
is distributed throughout a population, and is commonly used in economics as a
measurement of inequality of wealth or income. The Gini index is often defined
as the area between the Lorenz curve of a distribution and the line of
equality, normalized to be between zero and one. In this fashion, we define a
Gini index on the set of integer partitions and show that it is closely related
to the second elementary symmetric polynomial, and the dominance order on
partitions. We conclude with a generating function for the Gini index, and
discuss how it can be used to find lower bounds on the width of the dominance
lattice.
