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

See all articles by Christopher P. Chambers

Christopher P. Chambers

Georgetown University - Department of Economics

Alan D. Miller

Faculty of Law, Western University

Date Written: September 30, 2007

Abstract

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

Chambers, Christopher P. and Miller, Alan D., A Measure of Bizarreness (September 30, 2007). Quarterly Journal of Political Science, Vol. 5, No. 1, pp 27-44, 2010, Available at SSRN: https://ssrn.com/abstract=1023260

Christopher P. Chambers

Georgetown University - Department of Economics ( email )

Washington, DC 20057
United States

Alan D. Miller (Contact Author)

Faculty of Law, Western University ( email )

1151 Richmond Street
London, Ontario N6A3K7
Canada

HOME PAGE: http://alandmiller.com

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