A Measure of Bizarreness
Quarterly Journal of Political Science, Vol. 5, No. 1, pp 27-44, 2010
18 Pages Posted: 16 Apr 2008 Last revised: 1 May 2010
Date Written: September 30, 2007
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 boundaries and population distributions.
Keywords: Compactness, Contiguity, Convexity, Disconnection Sensitivity, Path-based Measure, Elections, Gerrymandering
JEL Classification: D72, K00, K19
Suggested Citation: Suggested Citation