We introduce a path-based measure of convexity to be used in assessing the compactness of legislative districts. Our measure is the probability that a district contains the shortest path between a randomly selected pair of its points. The measure is defined relative to exogenous political...

We investigate a normative theory of incomplete preferences in the context of preliminary screening procedures. We introduce a theory of ranking in the presence of objectively incomparable marginal contributions (apples and oranges). Our theory recommends benchmarking, a method under which an...

We introduce an ordinal model of efficiency measurement. Our primitive is a notion of e ciency that is comparative, but not cardinal or absolute. In this framework, we postulate axioms that we believe an ordinal efficiency measure should satisfy. Primary among these are choice consistency and...