  Gerrymandering voting districts is one of the most salient concerns of
contemporary American society, and the creation of new voting maps, along with
their subsequent legal challenges, speaks for much of our modern political
discourse. The legal, societal, and political debate over serviceable voting
districts demands a concept of fairness, which is a loosely characterized, but
amorphous, concept that has evaded precise definition. We advance a new
paradigm to compare voting maps that avoids the pitfalls associated with an a
priori metric being used to uniformly assess maps. Our evaluative method
instead shows how to use uncertain data envelopment analysis to assess maps on
a variety of metrics, a tactic that permits each district to be assessed
separately and optimally. We test our methodology on a collection of proposed
and publicly available maps to illustrate our assessment strategy.
